Lemaitre-Tolman-Bondi dust spacetimes: Symmetry properties and some extensions to the dissipative case

Details Lemaitre-Tolman-Bondi dust spacetimes: Symmetry properties and some extensions to the dissipative case Lemaitre-Tolman-Bondi dust spacetimes: Symmetry properties and some extensions to the dissipative case

2010-06-10

arxiv.org/abs/1006.2149v3

Phys. Rev. D82,024021, (2010)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages RevTex. To appear in Phys. Rev. D. Some references corrected and updated

Scientific paper

We consider extensions of Lemaitre-Tolman-Bondi (LTB) spacetimes to the dissipative case. For doing that we previously carry out a systematic study on LTB. This study is based on two different aspects of LTB. On the one hand, a symmetry property of LTB will be presented. On the other hand, the description of LTB in terms of some fundamental scalar functions (structure scalars) appearing in the orthogonal splitting of Riemann tensor will be provided. We shall consider as "natural" generalizations of LTB (hereafter referred to as GLTB) either those metrics admitting some similar kind of symmetry as LTB, or those sharing structure scalars with similar dependence on the metric.

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