Title of Paper:Generalized Vaidya solutions and Misner-Sharp mass for n-dimensional massive gravity

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Affiliation of Author(s):理学院

Journal:PHYSICAL REVIEW D

Key Words:THERMODYNAMICS FIELD

Abstract:Dynamical solutions are always of interest to people in gravity theories. We derive a series of generalized Vaidya solutions in the n-dimensional de Rham-Gabadadze-Tolley massive gravity with a singular reference metric. Similar to the case of the Einstein gravity, the generalized Vaidya solution can describe shining/absorbing stars. Moreover, we also find a more general Vaidya-like solution by introducing a more generic matter field than the pure radiation in the original Vaidya spacetime. As a result, the above generalized Vaidya solution is naturally included in this Vaidya-like solution as a special case. We investigate the thermodynamics for this Vaidya-like spacetime by using the unified first law and present the generalized Misner-Sharp mass. Our results show that the generalized Minser-Sharp mass does exist in this spacetime. In addition, the usual Clausius relation delta Q = TdS holds on the apparent horizon, which implicates that the massive gravity is in a thermodynamic equilibrium state. We find that the work density vanishes for the generalized Vaidya solution, while it appears in the more general Vaidya-like solution. Furthermore, the covariant generalized Minser-Sharp mass in the n-dimensional de Rham-Gabadadze-Tolley massive gravity is also derived by taking a general metric ansatz into account.

ISSN No.:2470-0010

Translation or Not:no

Date of Publication:2017-04-03

Co-author:Wu, Xin-Meng,Zhang, Hongsheng

Correspondence Author:胡亚鹏