Inhomogeneous universes in observational coordinates
General Relativity and Quantum Cosmology
2016-08-31 v1
Abstract
Isotropic inhomogeneous dust universes are analysed via observational coordinates based on the past light cones of the observer's galactic worldline. The field equations are reduced to a single first--order {\sc ode} in observational variables on the past light cone, completing the observational integration scheme. This leads naturally to an explicit exact solution which is locally nearly homogeneous (i.e. {\sc frw}), but at larger redshift develops inhomogeneity. New observational characterisations of homogeneity ({\sc frw} universes) are also given.
Cite
@article{arxiv.gr-qc/9511045,
title = {Inhomogeneous universes in observational coordinates},
author = {Roy Maartens and Neil Humphreys and David Matravers and Bill Stoeger},
journal= {arXiv preprint arXiv:gr-qc/9511045},
year = {2016}
}
Comments
17 pages LaTeX, no figures; to appear in Classical and Quantum Gravity