Quasi-local variables and inhomogeneous cosmological sources with spherical symmetry

Details Quasi-local variables and inhomogeneous cosmological sources with spherical symmetry Quasi-local variables and inhomogeneous cosmological sources with spherical symmetry

2008-10-07

arxiv.org/abs/0810.1120v1

AIP Conf.Proc.1083:228-235,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 2 pdf figures. Provides a concise summary of some of the results of arXiv:0801.3324v4 [gr-qc]. Submitted to the AIP C

Scientific paper

10.1063/1.3058574

We examine a large class of inhomogeneous spherically symmetric spacetimes that generalize the Lemaitre-Tolman-Bondi dust solutions to nonzero pressure ("LTB spacetimes"). Local covariant LTB objects can be expressed as perturbations of covariant quasi-local (QL) scalars that satisfy evolution equations of equivalent Friedman-Lemaitre-Robertson-Walker (FLRW) scalars. Thus, the dynamics of these spacetimes can be rigorously described as non-linear, gauge invariant and covariant perturbations on a formal FLRW background given by the QL scalars. Since LTB spacetimes are compatible with a wide variety of "equations of state" and theoretical assumptions, they provide an ideal framework for numerical models of cosmological sources under idealized but fully non-linear conditions. As an illustrative example, we briefly examine the formation of a black hole in an expanding Chaplygin gas universe.

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