Averaging in LRS class II spacetimes

We generalize Buchert’s averaged equations (Gen Relativ Gravit 32; 105, 2000 ; Gen Relativ Gravit 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 e...

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Veröffentlicht in:	General relativity and gravitation 2015-02, Vol.47 (2), Article 4
Hauptverfasser:	Kašpar, Petr, Svítek, Otakar
Format:	Artikel
Sprache:	eng
Schlagworte:	Astronomy Astrophysics and Cosmology Classical and Quantum Gravitation Differential Geometry Mathematical and Computational Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Research Article Theoretical
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Zusammenfassung:	We generalize Buchert’s averaged equations (Gen Relativ Gravit 32; 105, 2000 ; Gen Relativ Gravit 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:	0001-7701 1572-9532
DOI:	10.1007/s10714-014-1844-6