Perturbative treatment of the luminosity distance
General Relativity and Quantum Cosmology
2018-09-18 v2 Cosmology and Nongalactic Astrophysics
Abstract
We derive a generalized luminosity distance versus redshift relation for a linearly perturbed FLRW (Friedmann-Lemaitre-Robertson-Walker) metric with two scalar mode excitations. We use two equivalent approaches, based on the Jacobi map and the van Vleck determinant respectively. We apply the resultant formula to two simple models - an exact FLRW universe and an approximate FLRW universe perturbed by a single scalar mode sinusoidally varying with time. For both models we derive a cosmographic expansion for d_L in terms of z. We comment on the interpretation of our results and their possible application to more realistic cosmological models.
Keywords
Cite
@article{arxiv.1803.08766,
title = {Perturbative treatment of the luminosity distance},
author = {Dimitar Ivanov and Stefano Liberati and Matteo Viel and Matt Visser},
journal= {arXiv preprint arXiv:1803.08766},
year = {2018}
}
Comments
V1: 29 pages, 1 figure; V2: more motivation and background, changes in style and presentation