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Exact Solutions in Massive Gravity

2013/04/02 by Gianmassimo Tasinato, Kazuya Koyama, Gustavo Niz · 2 citations
Physics and Astronomy · #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/30/18/184002

17 pages, 4 figures. Invited review to CQG focus issue on massive gravity

arxiv created 2013/04/02 · arxiv updated 2015/06/15

Abstract

Massive gravity is a good theoretical laboratory to study modifications of General Relativity. The theory offers a concrete set-up to study models of dark energy, since it admits cosmological self-accelerating solutions in the vacuum, in which the size of the acceleration depends on the graviton mass. Moreover, non-linear gravitational self-interactions, in the proximity of a matter source, manage to mimic the predictions of linearised General Relativity, hence agreeing with solar-system precision measurements. In this article, we review our work in the subject, classifying, on one hand, static solutions, and on the other hand, self-accelerating backgrounds. For what respects static solutions we exhibit black hole configurations, together with other solutions that recover General Relativity near a source via the Vainshtein mechanism. For the self-accelerating solutions we describe a wide class of cosmological backgrounds, including an analysis of their stability.

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