Averaging in LRS class II spacetimes

We generalize Buchert's averaged equations [Gen. Rel. Grav. 32, 105 (2000); Gen. Rel. Grav. 33, 1381 (2001)] to LRS class II dust model in the sense that all Einstein equations are averaged, not only the trace part. We derive the relevant averaged equations and we investigate backreaction on ex...

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Bibliographic Details
Published inarXiv.org
Main Authors Kaspar, Petr, Svitek, Otakar
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 22.12.2014
Subjects
Einstein equations
Mathematical models
Physics - General Relativity and Quantum Cosmology
Scalars
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Summary:We generalize Buchert's averaged equations [Gen. Rel. Grav. 32, 105 (2000); Gen. Rel. Grav. 33, 1381 (2001)] to LRS class II dust model in the sense that all Einstein equations are averaged, not only the trace part. We derive the relevant averaged equations and we investigate backreaction on expansion and shear scalars in an approximate LTB model. Finally we propose a way to close the system of averaged equations.
ISSN:2331-8422
DOI:10.48550/arxiv.1412.7208