Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-10-04
Observatory 122 (2002) 201-210
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, LaTeX. Improved text, typos corrected, references added. Accepted for publication in "The Observatory"
Scientific paper
This paper advances a general proposal for testing non-standard cosmological models by means of observational relations of cosmological point sources in some specific waveband, and their use in the context of the data provided by the galaxy redshift surveys, but for any cosmological metric. By starting from the general theory for observations in relativistic cosmology the equations for colour, K-correction, and number counts of cosmological point sources are discussed in the context of curved spacetimes. The number counts equation is also written in terms of the selection and luminosity functions, which provides a relativistic generalization of its Euclidean version. Since these observables were not derived in the framework of any specific cosmology, they are valid for any cosmological model. The hypotheses used in such derivation are reviewed, together with some difficulties for the practical use of those observables.
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