2012/02/02 by Stefano Magni, Magni, Stefano
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #astro-ph.CO #gr-qc
paper · pdf · doi:10.48550/arxiv.1202.0430
96 pages, 3 figures, master thesis; supervisors: S.Räsänen and M.Carfora
arxiv created 2012/02/02 · openalex publication_date 2012/02/02 · arxiv updated 2012/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.