Non-singular black holes in massive gravity: time-dependent solutions

A bstract When starting with a static, spherically-symmetric ansatz, there are two types of black hole solutions in dRGT massive gravity: (i) exact Schwarzschild solutions which exhibit no Yukawa suppression at large distances and (ii) solutions in which the dynamical metric and the reference metric...

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Bibliographic Details
Published in:The journal of high energy physics 2017-10, Vol.2017 (10), p.1-20, Article 206
Main Author: Rosen, Rachel A.
Format: Article
Language:English
Subjects:
ASTRONOMY AND ASTROPHYSICS
Black Holes
Classical and Quantum Gravitation
Classical Theories of Gravity
Deposition
Effective Field Theories
Elementary Particles
Gravitation
High energy physics
Mathematical analysis
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Singularities
String Theory
Time dependence
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Summary:A bstract When starting with a static, spherically-symmetric ansatz, there are two types of black hole solutions in dRGT massive gravity: (i) exact Schwarzschild solutions which exhibit no Yukawa suppression at large distances and (ii) solutions in which the dynamical metric and the reference metric are simultaneously diagonal and which inevitably exhibit coordinate-invariant singularities at the horizon. In this work we investigate the possibility of black hole solutions which can accommodate both a nonsingular horizon and Yukawa asymptotics. In particular, by adopting a time-dependent ansatz, we derive perturbative analytic solutions which possess non-singular horizons. These black hole solutions are indistinguishable from Schwarzschild black holes in the limit of zero graviton mass. At finite graviton mass, they depend explicitly on time. However, we demonstrate that the location of the apparent horizon is not necessarily time-dependent, indicating that these black holes are not necessarily accreting or evaporating (classically). In deriving these results, we also review and extend known results about static black hole solutions in massive gravity.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2017)206