Inhomogeneous universes in observational coordinates

Details Inhomogeneous universes in observational coordinates Inhomogeneous universes in observational coordinates

1995-11-15

arxiv.org/abs/gr-qc/9511045v1

Class.Quant.Grav. 13 (1996) 253-264; Erratum-ibid. 13 (1996) 1689

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages LaTeX, no figures; to appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/13/6/030

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.

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