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A&A 391, 13-20 (2002)
DOI: 10.1051/0004-6361:20020792
Constraints on
using distributions of
inclination angles for high redshift filaments
M. Weidinger1, P. Møller2, J. P. U. Fynbo2, B. Thomsen1 and M. P. Egholm1
1 University of Aarhus, Ny Munkegade, 8000 Århus C, Denmark
2 European Southern Observatory, Karl-Schwarzschild-Straße 2, 85748, Garching by München, Germany
(Received 20 February 2002 / Accepted 23 May 2002 )
Abstract
In this paper we present a scale free method to determine
the cosmological parameters
. The
method is based on the requirement of isotropy of the distribution
of orientations of cosmological filaments.
The current structure formation paradigm predicts that the
first structures to form are voids and filaments, causing a
web-like structure of the matter distribution at high redshifts.
Recent observational evidence suggests that the threads, or filaments,
of the cosmic web most easily are mapped in Ly
emission. We
describe how such a 3D map can be used to constrain the cosmological
parameters in a way which, contrary to most other cosmological tests,
does not require the use of a standard rod or a standard candle.
We perform detailed simulations in order to define the optimal
survey parameters for the definition of an observing programme aimed
to address this test, and to investigate how statistical and
observational errors will influence the results. We conclude that
observations should target filaments of comoving size
15-50 Mpc in
the redshift range
2-4, and that each filament must be defined by
at least four Ly
emitters. Detection of 20 filaments will be
sufficient to obtain a result, while 50 filaments
will make it possible to place significant new constraints on
the values of
and
permitted by the
current supernova observations. In a future paper we study how
robust these conclusions are to systematic velocities in the survey
box.
Key words: cosmology: theory -- cosmological parameters
Offprint request: M. Weidinger, michaelw@ifa.au.dk
© ESO 2002
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