Backreaction and the Covariant Formalism of General Relativity

Reference : Backreaction and the Covariant Formalism of General Relativity


	Document type :	Dissertations and theses : Bachelor/master dissertation
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Space science, astronomy & astrophysics
	To cite this reference:	http://hdl.handle.net/10993/36581

Title :	Backreaction and the Covariant Formalism of General Relativity
Language :	English
Author, co-author :	Magni, Stefano [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Publication date :	1-Feb-2012
Institution :	University of Pavia, Pavia, Italy
Name of the degree :	Master Degree in Theoretical Physics
Supervisor :	Carfora, Mauro
	Rasanen, Syksy
Keywords :	[en] General Relativity and Quantum Cosmology ; Astrophysics - Cosmology and Extragalactic Astrophysics
Abstract :	[en] 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.
Permalink :	http://hdl.handle.net/10993/36581
Other URL :	http://adsabs.harvard.edu/abs/2012arXiv1202.0430M
Commentary :	96 pages, 3 figures, master thesis; supervisors: S.R\"as\"anen and M.Carfora

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