A&A 407, 61-74 (2003)
DOI: 10.1051/0004-6361:20030720
K. Fathi1,2 - R. F. Peletier1,2
1 - School of Physics & Astronomy, University of
Nottingham, Nottingham, NG7 2RD, UK
2 -
CRAL, Observatoire de Lyon, 69561 St-Genis Laval Cedex, France
Received 7 October 2002 / Accepted 12 May 2003
Abstract
We study HST/NICMOS H-band images of bulges of two equal-sized samples of
early- (
)
and late-type spiral (mainly Sbc-Sc) galaxies
matched in outer disk axis ratio. We find that bulges of late-type spirals
are more elongated than their counterparts in early-type spirals. Using a
KS-test we find that the two distributions are different at the 98.4% confidence level. We conclude that the two data sets are
different, i.e. late-type galaxies have a broader ellipticity
distribution and contain more elongated features in the inner
regions. We discuss the possibility that these would correspond to bars
at a later evolutionary stage, i.e. secularly evolved bars. Consequent
implications are raised, and we discuss relevant questions regarding
the formation and structure of bulges. Are bulges of early-type and
late-type spirals different? Are their formation scenarios
different? Can we talk about bulges in the same way for different types
of galaxies?
Key words: galaxies: spiral - galaxies: bulges - galaxies: structure - galaxies: statistics
Before delving into the subject, it is good to first clearly define what we
mean by bulge. In this paper, by bulge we mean the photometric inner component
of the galaxy which appears to be superimposed onto an exponential disk. This
definition is extremely simple, but is at the same time very robust. The
definition is purely photometric, and is parametrical, but non-parametric
studies by e.g. Kent (1986) show that the bulge obtained in this way is
generally rounder than the disk, an indication that this definition is probably
measuring something physical. Note that the definition does not depend on
kinematics. When one measures the photometry of bulges defined in this way one
finds that surface brightness profiles for galaxies of type earlier than Sc
rise more steeply than those of late-types. Surface brightness profiles
generally are well described by the Sérsic (1968)
profile, for which the value of the shape parameter n varies from values
around 4 for bulges of early-type spirals, to 1 for bulges of late-type
spirals (Andredakis et al. 1995; Phillips et al. 1996; Moriondo et al. 1998). Bulges also host a variety of central components
including dust lanes, star forming rings and spiral structure reaching all
the way to the centre (Zaritsky et al. 1993; Peletier et al. 1999;
Carollo et al. 2002). Many bulges also contain central resolved sources,
identified as star clusters (Carollo et al. 2002; Böker et al. 2001), which
are fainter and less abundant in early-type spiral galaxies. Studying the
nuclear properties of bulges is important, since they generally scale with the
global galaxy properties (Faber et al. 1997). By studying the nuclear
properties of bulges of early and late-type spirals, one might be able to
provide the relative importance of dynamical effects in forming and/or
maintaining the nuclear structure. It also provides a crucial test for
formation scenarios of spheroidal stellar systems along the entire luminosity
sequence.
The main theories about bulge formation include scenarios such as: primordial collapse where bulge and disk form sequentially (Eggen et al. 1962); hierarchical galaxy formation (Kauffmann & White 1993); galaxy mergers or infall of satellite galaxies (Zinn 1985; Aguerri et al. 2001); and secular evolution (Kormendy 1979; Norman et al. 1996; Hasan et al. 1998), where central bars, formed by disk instabilities, thicken gradually to form bulges. The theories are still of crude, and theoretical predictions up to now have not been good enough for observers to rigorously test these scenarios. Effects of flattening by rotation, or thickening of the bars have not directly been verified in simulations for large numbers of objects, mainly due to lack of fast computers. There are a number of crude predictions that one would naively draw from these formation models. If bulges were formed by secular evolution of bars, they would in general be flatter than if they were made in a primordial collapse. One might object against such simplified predictions, but since there is no alternative until robust results from simulations are available, we will assume that these predictions are correct.
In this paper, we investigate the ellipticity distribution of a large sample of early- and late-type spirals, to ultimately be able to infer information about the formation scenario of bulges. Given that in the infrared, the effects of dust extinction is considerably less than in optical, HST/NICMOS H-band data are ideal for this task. We discuss a sub-sample of late-type spirals consisting of HST-archival data, together with a control sample of early-type spirals consisting of HST-archival images of both Seyferts and non-Seyferts from Laine et al. (2002) (hereafter L02). Since the NICMOS field of view is not large enough to provide Bulge-Disk decompositions, we use WFPC2 optical images for determination of the bulge radius, the radius where the light of the disk starts dominating the galaxy light. Our samples are large enough to allow us to draw statistical conclusions using the KS-test. The outline of the paper is as follows: In Sect. 2 we introduce our data sets, and describe the reduction procedure. In Sect. 3 the analysis procedure is outlined, and Sect. 4 includes an extensive discussion of our results and corresponding implications.
Sky subtraction was done by subtracting the mean value of 10 randomly chosen outer regions of each image. Since in this study we are mainly interested in the central morphology, it is not important that the galaxies are much larger than the NIC2 frame. Masking bad pixels was done in two steps. First, only the most evident regions were masked by fitting planes interpolated from the boundary values (using our own software). This was followed by fitting ellipses to the isophotes (using S TSDAS/E LLIPSE), and investigating the residual images, which showed the presence of additional undesired regions, such as very bright star forming knots, foreground stars, or very strong dust regions. After further masking of these regions, all the obvious artifacts were removed, and the images were ready for final ellipse fitting. The E LLIPSE task in the I SOPHOTE package in S TSDAS was used on the masked images, this time providing more accurate results. The isophotes of each galaxy were fitted with a sequence of ellipses with different semi-major axis lengths based on the algorithm described by Jedrzejewski (1987). The final ellipses were then deprojected, using a two-dimensional deprojection procedure assuming that the galaxy was a thin disk, with inclination (given by the axis ratio in the outer parts) and PA inferred from the RC3 catalogue (similar to the method used in L02). The deprojected fits are hereafter used in our analysis. Although removing the bad areas, before fitting ellipses, is believed to not seriously affect the fitting procedure (Carollo et al. 1998), we can be sure that the statistics are not affected by masking bad regions, since both our samples are treated in the same manner.
Table 1: List of 35 rejected late-type galaxies and reasons for rejection (see text for further details). The remaining 35 galaxies fulfill all our criteria and match well with the early-type sample of L02.
We decided to split the sample of bulges at
,
since our
previous studies have shown that bulges of spirals with types earlier
than that have several properties in common with ellipticals, such as
surface brightness (SB) profile, age, age spread, and agreement with the
fundamental plane of ellipticals (e.g. de Jong 1996; Peletier et al. 1999;
Falcón-Barroso et al. 2002).
Bulges of late-type spirals have been shown to be different. We require
that the galaxies are not too inclined, as this would imply large projection
effects, and hide important features. Absolute B magnitude, and distance (or
)
requirements are imposed, in order to avoid large differences in
spatial resolution, and/or discrepant prominence of small scale
structures such as stellar clusters or dust lanes. Small scale features are
more prominent for nearby galaxies, whereas for more distant galaxies, we
would not be able to see much of the inner parts.
The same criteria were used when selecting the early-type sample from L02,
for which in addition we also rejected all the Seyfert 1 galaxies to avoid
contamination of the central regions by the bright nucleus.
An initial sample of all bulges included 70 objects (all late-type),
on which we applied further selection. Using
parameters from the RC3 catalogue (de Vaucouleurs et al. 1991), we removed all
the galaxies more inclined than
corresponding to the apparent
outer, R25 disk axis ratio of
.
Subsequently, the sample
was restricted to a limited radial velocity range of
km s-1, and absolute B-magnitude of
(all inferred from the RC3 catalogue).
As we needed to estimate the bulge radius by performing a bulge-disk
decomposition (see Sect. 2.2) on the corresponding
WFPC2 images, we required availability of WFPC2 optical images on which
ellipse fitting was possible.
This rules out off-field galaxies (i.e. galaxies for which the central
areas were only partly on the field),
low SB galaxies and those with very strong star forming
regions and/or strong dust features. Although the H-band images
are believed to be unaffected by these effects,
a few galaxies had to be removed for this purpose.
Table 1 quantifies the number of rejected
galaxies after application of each selection
criterion. Finally, to obtain reliable statistics,
it is of vital importance that the two samples are
similarly distributed in all salient parameters.
We compare our sample with the sample of L02 to make a matching control
sample of early type spiral bulges, applying the same ranges in MB,
distance, and i, and since not many galaxies with
0.4<b/a<0.6 are available in the sample of L02 we removed 5 galaxies from our late-type sample. Given that the very bright nucleus
of type 1 Seyfert galaxies affects the
central parts of the images, the Seyferts selected from
the L02 sample are all of type 2. The final remaining list of the two subsamples are found in
Tables 2 and 3, and the
corresponding distributions are illustrated in Fig. 1.
Table 2:
List of 35 remaining late-type galaxies.
The first four columns indicate galaxy name, morphological Type,
outer disk axis ratio b/a, and radial velocities from the RC3 catalogue. The three ellipticity columns are the derived projected,
deprojected, and average bulge ellipticities as described in the text,
and the derived B/T ratio using Eq. (1). The last
column is the bulge radius obtained from bulge-disk decomposition of
the WFPC2 images. The marks galaxies for which a nuclear bar
has been detected, i.e. we have found an ellipticity variation greater
than 0.1 within the bulge region.
Table 3: List of 35 remaining early-type galaxies. The columns are the same as in Table 2. Error values for the ellipticities are of order <0.002. For the B/T ratio, the errors are of order <0.005, and for rB the errors are of order <0.5 arcsec. (Note that the errors for Table 2 are of same order.)
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Figure 1:
Distribution histograms of b/a,
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A very important quantity for our study is the "bulge radius''.
This is defined as the radius at which the SB of the exponential
disk equals the surface brightness of the bulge. Successful fits
to the bulges of spiral galaxies have been obtained using the Hubble
law (Hubble 1930), King model (King 1966), de Vaucouleurs
law (de Vaucouleurs 1948), by a generalised version of de Vaucouleurs'
law
(Caon et al. 1993; Andredakis et al. 1995) and by an exponential function (Kent et al. 1991; Andredakis
& Sanders 1994; Baggett et al. 1998). Andredakis &
Sanders (1994) and Andredakis et al. (1995) showed that for the late-type
spirals of this paper an exponential fit of the bulge is entirely adequate,
and much better than using an
law.
We decomposed the galaxy SB profiles, fitting exponentials to
both the bulge and the disk part. Despite the fact that
potentially better fits can be obtained with a Sérsic
law for the bulge, we decided to use exponential distributions, since these
produce the most robust determinations for the bulge radius. As a test we
have compared bulge radii obtained using a Sérsic + exponential
distribution with bulge radii obtained with double-exponential
distributions and found that both values are not very different
in log-scale (see Table 4). We find that the measured bulge
ellipticities do not change significantly when Sérsic bulge
radii are used and our statistical conclusions are not affected.
Since the field of view of NICMOS is too small to be able to perform the Bulge-Disk
decomposition on, we used optical WFPC2 images for this purpose.
The optically obtained bulge radii do not differ much from those
from the H-band images (Carollo et al. 2002). Images with the F555W, F547M, F606W, and F814W filters were used with the galaxy
nucleus generally on the Planetary Camera chip. A manual reduction
(bad pixel masking, sky subtraction etc.) as described previously
was performed on the mosaiced images, followed by ellipse fitting.
As a result of the high sensitivity of the optical images to dust extinction,
the axis ratio of the successive ellipses was fixed
(axis ratio and PA as used for the deprojection) throughout the
galaxy. The resulting average radial SB profile is then decomposed
into bulge and disk, and the bulge radius is obtained.
The reduced data are now ready to be analysed. In Fig. 7 we plot the deprojected ellipticities and PAs, obtained from the ellipse fitting, as a function of radius. We used the bulge radii, from the bulge-disk decomposition, to estimate the extent of the bulge region. In this region we quantified the bulge ellipticities in the following way: When the ellipticity profile within the bulge varies by less than 0.1, we define the bulge ellipticity as the mean value. Alternatively, when there is a rise or fall in the ellipticity of more than 0.1, we take the peak ellipticity. These two definitions provide the bulge ellipticity for the whole of our sample (see the histograms in bins of 0.1 in Fig. 2). As we are comparing the results with that of a control sample, any conclusion investigating whether the two datasets are statistically significant needs to be based on a statistical test of the two samples.
We used the Kolmogorov-Smirnov KS-test, which has the advantage of making no initial assumption about the distribution of data, i.e. it is non-parametric and distribution free (Press et al. 1992). For our deprojected ellipticity distributions we obtain a KS probability value of 0.0160, meaning that the two distributions are different at the 98.4% confidence level.
To find out whether this result is real we applied a number of tests. We started by comparing the projected ellipticities of early and late type spirals. The corresponding distributions of the projected bulge ellipticities are given in Fig. 3. The two distributions are peaked at different values (e.g. there is a significant excess of late-type galaxies with bulge ellipticities in the 0.3-0.4 bin, and a deficit for the 0.2-0.3 bin). The bulges of late-type spirals are more flattened even when comparing the projected ellipticities, although in this case the KS-test leads to a probability value of 0.0630, corresponding to 93.7% confidence level. The projected ellipticities are consistent with a single distribution, not necessarily implying the same after deprojection.
We continue by defining the bulge ellipticity in a different way, namely such that in all the cases we would take this value to be the average ellipticity of the bulge component of the galaxy. This provides a different distribution (see Fig. 4), with a KS-test result of 0.3200. This implies that the ellipticity distribution of bulges in early and late type spirals is similar, and that the only difference between the two groups is the structure inside the bulge.
Investigating the residual images after fitting ellipses (Fig. 8) shows that in 12 cases the residual images are very smooth all the way to the very centre of the galaxy. This means that the galaxy light is very well described by the set of fitted ellipses This fact shows that the galaxy does not contain very much dust, and that the ellipticity analysis is a very reliable indicator of the distribution of the light. In the remaining 23 cases, the residual images show strong central features meaning that there are significant structures in the central parts. These are disks, bars, strong star formation regions, spiral structure, and/or dust features. In these cases the residual images also show clear indications of dusty bulges for which the inferred morphology is affected by the dust (e.g. the position of the centre changes as a function of radius).
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Figure 2:
Histograms of type distribution, deprojected bulge
ellipticity
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Table 4: Average bulge radii (in arcsec) with corresponding rms (in brackets) obtained from fitting Sérsic + exponential and double-exponential SB profiles to the WFPC2 images.
We have found that the distribution of bulge ellipticities is different between early and late-type spirals (see Fig. 2). The KS-test indicates however that the statistical significance of this result is small. Could it be that we made unjustified assumptions during the deprojection? We discuss here a number of observational biases which could cause this result and find out whether they might be significant.
The difference between the ellipticity distributions might be caused by the
inferred 2D deprojection. This procedure assumes that the galaxy is two dimensional, which in reality is not the case. Depending on the thickness
variations along the galaxy plane the "deprojected'' bulge may seem more
elongated as an artifact of the 2D deprojection. If the bulge is much thicker
than the underlying disk it becomes more elongated, and consequently if bulges
of late-type galaxies are intrinsically thicker than those of early-types, our
statistics could be biased. For this purpose we analysed the intrinsic bulge
thickness of a sample of 20 edge-on galaxies in the K-band and in the same
Hubble-type range as our main sample (Guijarro Roman et al., in preparation).
The sample consists of 14 early-type spiral galaxies and 6 late-type spirals,
a subset of the sample of de Grijs (1998). For the 20 galaxies we derived the
bulge scale heights by directly fitting exponentials to the vertical light
profile, and the bulge scale length through B/D decomposition of the radial
profile (as described in Sect. 2.2). The ratio of the bulge
scale height (hz) to the bulge scale length (hr) directly measures the
bulge axis ratio, and a comparison of these value tells whether the bulge of
one galaxy is flatter or thicker than another. Figure 5 shows that this ratio
is not dependent on type, and that bulges of early-type spirals are not
intrinsically thicker than bulges of late-type spirals, or vice versa.
Hence, the 2D deprojection does not add any bias to our statistics for
comparing the deprojected ellipticities.
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Figure 3: The distribution of projected bulge ellipticities for our early- and late-type samples. The black colour represents the early-type sample. |
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Figure 4:
Bulge ellipticity distribution for the average ![]() |
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Figure 5:
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It could be that the difference is caused by the fact that it is more difficult to detect elongated structures in big bulges of early-type spirals. We can investigate that by looking at the frequency of bars detected inside the bulge regions. Defining bars in the same way as in Knapen et al. (2000) we find no difference in the frequency of bars in the bulge region between early- and late-type galaxies. In our sample, 12 early-type and 13 late-type spirals indicate the presence of a bar within the bulge. These numbers are very similar, and no discrepancy is observed.
Instead of galaxy type we might also look at the
bulge to total (B/T) flux ratio, given by
We derive this parameter for our entire sample and divide the sample
in two equal-sized subsamples according to this value, drawing the
middle line. This results in two subsamples, one containing galaxies
with B/T ratio <0.026, and one containing the rest of the sample.
The bulge peak ellipticities are then compared (see Fig. 6), and the
corresponding KS-test probability value is 0.1975. As also seen from the
histogram, one cannot say that the distributions are different.
Although one might think that the B/T ratio is a good indicator of galaxy
type, it is not a very good parameter for our sample here, since most B/T ratios are very small (less than 0.05), and in this range of B/T it is not
a very good morphological type indicator.
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Figure 6: Distribution of deprojected ellipticities as a function of B/T ratio. The median B/T ratio is B/T=0.026. |
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We find that bulges of late-type galaxies are more elongated. What does this mean for the formation of bulges? Are we seeing some signs of secular evolution here? Could it be that secular evolution destroys nuclear bars, converting them slowly into bulges, which as a result are still somewhat more elongated?
Theoretical studies have shown that bars are capable of evolving in self dissolving mechanisms (Sellwood & Wilkinson 1993), i.e. they undergo secular evolution (Toomre 1966; Hasan & Norman 1990; Pfenniger & Norman 1990). Secular evolution, however, is not always believed to destroy the bars. Merritt & Sellwood (1994) showed that the thickening of bars, through off plane bending instabilities, stops when the density in the mid-plane drops to a low enough value that the natural vertical frequency for a large fraction of particles drops below the forcing frequency below the global bend. There is also some strong theoretical evidence that long lived and strong bars survive loss of up to 2/3 of the angular momentum and reduced pattern speed by a factor of up to 5 (Sellwood & Debattista 1996).
Spiral activity has been shown to occur for a longer time in the outer disk when the initial bar ends at a radius well inside the outer edge of the disk. This spiral activity in the disk outside the bar is not affected by the bar, although the bar grows by trapping additional particles which are ready to lose angular momentum near the inner ends. The new particles added to the bar in this way still have too much angular momentum to sink deep into the bar, and are therefore added to the outer ends of the bar. As a result, the angular momentum of the bar content is rising although the bar itself is slowing down. Bar destruction and pattern speed change are also explained with other theories. Interaction with the halo (Weinberg 1985; Debattista & Sellwood 1996; Athanassoula 1996) is believed to be able to slow down a bar through dynamical friction. Mergers (Gerin et al. 1990; Athanassoula 2002; Heller & Shlosman 1994; Barnes & Hernquist 1998), or fuelling of an active nucleus by driving gas towards the centre, play a considerable role in destruction of bars resulting in a spheroidal bulge (Norman et al. 1996).
It is not obvious that secular evolution of bars leads to oblate structures. Secularly evolved bars may also end up as elongated structures, as bars are believed to be populated by orbits of greater eccentricity than those in the axisymmetric parts of the disk. One might think that bar formation, on the other hand, is expected to be less common in early-type systems (Kormendy 1979, 1993; Combes & Elmegreen 1993; Sellwood & Wilkinson 1993; Lütticke et al. 2000), as there is less gas in early-type spirals, and there is also already a big bulge which stabilises the galaxy and prevents self-gravitating bar formation. If secular evolution is active one would therefore expect to find more elongated structures in late-type spirals, as we find observationally. This argument, however, might not be correct, since recent statistics on bars (e.g. Lütticke et al. 2000) shows that the bar fraction in early type spirals (Sa's) is the same as in Sc's. Also, Athanassoula (2002) has recently shown that massive bulges do not always suppress bar formation, when more accurate simulations with live-particles bulges/halos are done. In any case, in this paper we do not see a big difference between shapes of central features in early and late type spirals, so the process which makes elongated bulges in late-type spirals is not much more efficient than in early-type spirals.
To summarise, secular evolution seems to be able to make bulges (central disk concentrations) from bars, but it is not clear what their final shape is, and how efficient this process is. Yet so far it is not possible to confirm nor refute any of these theories, as very few observational studies have been done (Gerssen et al. 1999; Zimmer & Rand 2002), and only improved observations will be able to tell whether secular evolution of bulges is indeed possible.
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Figure 7:
Deprojected ellipticity (top) and PA (bottom) profiles for our
late-type spirals. On the horizontal axis, the radius in arcseconds is
given, and the dashed vertical lines indicate the inner and outer bulge
radii. The inner bulge radius is defined as the region where ellipse
fitting can be unreliable (e.g. Peletier et al. 1990; Rest et al. 2001)
i.e. ![]() |
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Figure 7: continued. |
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Figure 8:
HST/NICMOS (NIC2) H-band residual images
(original image - model image generated from ellipse fitting). The
field of view is
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Figure 8: continued. |
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Figure 8: continued. |
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Studying a sample of 70 galaxies in the H-band, we find that
inner features in bulges of late-type spirals are more elongated than
those in early-type spirals, although the statistical significance of
this result is small (
).
When we simply compare the average ellipticity in the bulge between both
samples, we don't find any difference. This probably indicates that bulges
of later type spiral galaxies contain more elongated features like nucluear
bars than bulges of early-type spirals. We have performed several tests to
establish that this result is not due to observational effects: bars are
visible just as easily in early-type bulges as in bulges of late type
galaxies. Also, deprojection cannot cause the larger fraction of elongated
features in late-type spirals.
The result could be explained if bulges of late-type spiral galaxies are formed primarily through secular evolution of bars, while this would not be the case for earlier-type bulges. Since however the morphology of bulges that have been created through secular evolution is still unclear, it is not possible at this stage to give more detailed conclusions. To better understand the formation process of bulges, it is important that we first obtain a better understanding of the process of secular evolution.
Acknowledgements
We thank Michael Merrifield for very interesting and useful discussions. The data presented in this paper were obtained from the Multimission Archive at the Space Telescope Science Institute (MAST). STScI is operated by the Association of Universities for Research in Astronomy, Inc., under NASA contract NAS5-26555. Support for MAST for non-HST data is provided by the NASA Office of Space Science via grant NAG5-7584 and by other grants and contracts. Much of the analysis was performed using I RAF which is distributed by NOAO.