Backreaction and the Covariant Formalism of General Relativity

Details Backreaction and the Covariant Formalism of General Relativity Backreaction and the Covariant Formalism of General Relativity

2012-02-02

arxiv.org/abs/1202.0430v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

96 pages, 3 figures, master thesis; supervisors: S.R\"as\"anen and M.Carfora

Scientific paper

This thesis is a review of backreaction, which is a possible alternative to dark energy and modified gravity. We describe in detail the 3+1 covariant formalism and Frobenius' theorem. We present the averaging procedure developed by Buchert, the Buchert equations and the generalization of these equations to the case of general matter. We then generalize to arbitrary number of spatial dimensions. We focus on the case of 2+1 dimensions, where the relation between the topology and the geometry of a surface imposes a global constraint on backreaction.

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