Issue |
A&A
Volume 407, Number 1, August III 2003
|
|
---|---|---|
Page(s) | L9 - L12 | |
Section | Letters | |
DOI | https://doi.org/10.1051/0004-6361:20030976 | |
Published online | 17 November 2003 |
Letter to the Editor
Limits on dark energy–matter interaction from the Hubble relation for two-fluid FLRW models
1
Tuorla Observatory, 21500 Piikkiö, Finland
2
Centre for Advanced Studies of the Saint-Petersburg State Technical University, 195251, Politechnicheskaya 29, St. Petersburg, Russia
3
Isaac Newton Institute of Chile, St. Petersburg Branch
4
Astronomical Institute of the Saint-Petersburg University, 198904 St. Petersburg, Russia
Corresponding author: P. Teerikorpi, pekkatee@astro.utu.fi
Received:
19
May
2003
Accepted:
25
June
2003
In the standard model (,
) it is assumed that there is no convertion (energy transfer) between the two components. However, this hypothesis requires observational tests. A general approach to multicomponent FLRW models comes from a new classification
(Gromov et al. [CITE])
which naturally follows from two independent model properties: 1) stationarity (or not) of equations of state of component substances and the presence (or absence) of energy transfer between these. The associated one-fluid model becomes characterized by
.
For the case
(which for a stationary equation state of dark energy means coherent evolution and is caused by energy transfer), a general integral expression for the analogue of the Mattig equation is derived. For flat geometry, the integral reduces to a simple analytic expression.
Comparison with the magnitude-redshift relation for the standard model shows that
gives the same relation within 0.05 mag in the range
.
The observable γ gives a robust upper limit to w in the equation of state of dark energy.
Key words: cosmology: theory / dark energy / cosmological parameters
© ESO, 2003
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