No hair theorem in quasi-dilaton massive gravity
We investigate the static, spherically symmetric black hole solutions in the quasi-dilaton model and its generalizations, which are scalar extended dRGT massive gravity with a shift symmetry. We show that, unlike generic scalar extended massive gravity models, these theories do not admit static, spherically symmetric black hole solutions until the theory parameters in the dRGT potential are fine-tuned. When fine-tuned, the geometry of the static, spherically symmetric black hole is necessarily that of general relativity and the quasi-dilaton field is constant across the spacetime. The fine-tuning and the no hair theorem apply to black holes with flat, anti-de Sitter or de Sitter asymptotics. (C) 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP(3).
- Research Organization:
- University of Chinese Academy of Sciences, Beijing (China)
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- SC0010600
- OSTI ID:
- 1246701
- Alternate ID(s):
- OSTI ID: 1280702
- Journal Information:
- Physics Letters B, Journal Name: Physics Letters B Vol. 757 Journal Issue: C; ISSN 0370-2693
- Publisher:
- ElsevierCopyright Statement
- Country of Publication:
- Netherlands
- Language:
- English
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