Exact solutions in massive gravity

Massive gravity is a good theoretical framework to study the 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...

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Published inClassical and quantum gravity Vol. 30; no. 18; pp. 184002 - 22
Main Authors Tasinato, Gianmassimo, Koyama, Kazuya, Niz, Gustavo
Format Journal Article
LanguageEnglish
Published IOP Publishing 21.09.2013
Subjects
Classification
Dark energy
Exact solutions
Gravitation
Mathematical analysis
Mathematical models
Quantum gravity
Relativity
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Summary:Massive gravity is a good theoretical framework to study the 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, nonlinear gravitational self-interactions, in the proximity of a matter source, manage to mimic the predictions of linearized General Relativity; hence, agreeing with solar-system precision measurements. In this paper, we review our work in the subject, classifying, on one hand, static solutions, and on the other hand, self-accelerating backgrounds. For the 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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ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/30/18/184002