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

TL;DR

This paper explores symmetry properties and structure scalar descriptions of LTB dust spacetimes and extends them to include dissipative effects, providing a foundation for more general models.

Contribution

It introduces a systematic study of LTB symmetries and structure scalars, and proposes natural extensions to dissipative cases, expanding the understanding of these spacetimes.

Findings

Identified a specific symmetry property of LTB spacetimes.

Described LTB in terms of fundamental structure scalars.

Proposed generalized LTB models with dissipative effects.

Abstract

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.