Volume 411, Number 2, November IV 2003
|Page(s)||33 - 40|
|Section||Cosmology (including clusters of galaxies)|
|Published online||17 November 2003|
Approximate angular diameter distance in a locally inhomogeneous universe with nonzero cosmological constant
Institute for Theoretical Physics, University of Warsaw, Warsaw, Poland
2 Department of Astronomy, Williams College, Williamstown, MA 01267, USA
3 Dipartimento di Scienze Fisiche, Università di Napoli Federico II, Compl. Univ. Monte S. Angelo, 80126 Napoli, Italia
4 Istituto Nazionale di Fisica Nucleare, Sez. Napoli, Via Cinthia, Compl. Univ. Monte S. Angelo, 80126 Napoli, Italia
5 Osservatorio Astronomico di Capodimonte, via Moiariello, 16-80131 Napoli, Italia
Corresponding author: E. Piedipalumbo, email@example.com
Accepted: 30 July 2003
We discuss the general and approximate angular diameter distance in the Friedman-Robertson-Walker cosmological models with nonzero cosmological constant. We modify the equation for the angular diameter distance by taking into account the fact that locally the distribution of matter is non homogeneous. We present exact solutions of this equation in a few special cases. We propose an approximate analytic solution of this equation which is simple enough and sufficiently accurate to be useful in practical applications.
Key words: cosmology: gravitational lensing / cosmology: theory
© ESO, 2003
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