No hair theorem in quasidilaton massive gravity
We investigate the static, spherically symmetric black hole solutions in the quasidilaton 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 finetuned. When finetuned, the geometry of the static, spherically symmetric black hole is necessarily that of general relativity and the quasidilaton field is constant across the spacetime. The finetuning and the no hair theorem apply to black holes with flat, antide 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).
 Authors:

^{[1]};
^{[2]}
 Univ. of Chinese Academy of Sciences, Beijing (China). School of Physics
 Case Western Reserve Univ., Cleveland, OH (United States). Dept. of Physics
 Publication Date:
 Grant/Contract Number:
 SC0010600
 Type:
 Published Article
 Journal Name:
 Physics Letters. Section B
 Additional Journal Information:
 Journal Volume: 757; Journal Issue: C; Journal ID: ISSN 03702693
 Publisher:
 Elsevier
 Research Org:
 Univ. of Chinese Academy of Sciences, Beijing (China)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS
 OSTI Identifier:
 1246701
 Alternate Identifier(s):
 OSTI ID: 1280702
Wu, DeJun, and Zhou, ShuangYong. No hair theorem in quasidilaton massive gravity. United States: N. p.,
Web. doi:10.1016/j.physletb.2016.04.016.
Wu, DeJun, & Zhou, ShuangYong. No hair theorem in quasidilaton massive gravity. United States. doi:10.1016/j.physletb.2016.04.016.
Wu, DeJun, and Zhou, ShuangYong. 2016.
"No hair theorem in quasidilaton massive gravity". United States.
doi:10.1016/j.physletb.2016.04.016.
@article{osti_1246701,
title = {No hair theorem in quasidilaton massive gravity},
author = {Wu, DeJun and Zhou, ShuangYong},
abstractNote = {We investigate the static, spherically symmetric black hole solutions in the quasidilaton 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 finetuned. When finetuned, the geometry of the static, spherically symmetric black hole is necessarily that of general relativity and the quasidilaton field is constant across the spacetime. The finetuning and the no hair theorem apply to black holes with flat, antide 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).},
doi = {10.1016/j.physletb.2016.04.016},
journal = {Physics Letters. Section B},
number = C,
volume = 757,
place = {United States},
year = {2016},
month = {4}
}