Matching Spherical Dust Solutions to Construct Cosmological Models

Details Matching Spherical Dust Solutions to Construct Cosmological Models Matching Spherical Dust Solutions to Construct Cosmological Models

2000-09-15

arxiv.org/abs/gr-qc/0009057v1

Gen.Rel.Grav. 33 (2001) 531-552

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, Revtex; to appear Gen. Rel. Grav

Scientific paper

Conditions for smooth cosmological models are set out and applied to inhomogeneous spherically symmetric models constructed by matching together different Lemaitre-Tolman-Bondi solutions to the Einstein field equations. As an illustration the methods are applied to a collapsing dust sphere in a curved background. This describes a region which expands and then collapses to form a black hole in an Einstein de Sitter background. We show that in all such models if there is no vacuum region then the singularity must go on accreting matter for an infinite LTB time.

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