Time Dependent Geometry in Massive Gravity

Abstract

In this paper, we will analyze a time dependent geometry in a massive theory of gravity. This will be done by analyzing Vaidya space-time in such a massive theory of gravity. As gravitational collapse is a time dependent system, we will analyze it using the Vaidya space-time in massive gravity. The Vainshtein and dRGT mechanisms are used to obtain a ghost free massive gravity, and construct such time dependent solutions. Singularities formed, their nature and strength will be studied in detail. We will also study the thermodynamical aspects of such a geometry by calculating the important thermodynamical quantities for such a system, and analyzing the thermodynamical behavior of such quantities.

arXiv comment24 pages, 21 figures, Accepted for publication in JCAP

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• Gravitational Collapse for the K-essence Emergent Vaidya Spacetime
• Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity's rainbow
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