No inner-horizon theorem for black holes with charged scalar hairs
Abstract We establish a no inner-horizon theorem for black holes with charged scalar hairs. Considering a general gravitational theory with a charged scalar field, we prove that there exists no inner Cauchy horizon for both spherical and planar black holes with non-trivial scalar hair. The hairy bla...
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Online Access: | https://doi.org/10.1007/JHEP03(2021)263 |
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doaj-c552d778b99a4951a913442901de65082021-04-04T11:06:59ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021312610.1007/JHEP03(2021)263No inner-horizon theorem for black holes with charged scalar hairsRong-Gen Cai0Li Li1Run-Qiu Yang2CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesCenter for Joint Quantum Studies and Department of Physics, School of Science, Tianjin UniversityAbstract We establish a no inner-horizon theorem for black holes with charged scalar hairs. Considering a general gravitational theory with a charged scalar field, we prove that there exists no inner Cauchy horizon for both spherical and planar black holes with non-trivial scalar hair. The hairy black holes approach to a spacelike singularity at late interior time. This result is independent of the form of scalar potentials as well as the asymptotic boundary of spacetimes. We prove that the geometry near the singularity takes a universal Kasner form when the kinetic term of the scalar hair dominates, while novel behaviors different from the Kasner form are uncovered when the scalar potential become important to the background. For the hyperbolic horizon case, we show that hairy black hole can only has at most one inner horizon, and a concrete example with an inner horizon is presented. All these features are also valid for the Einstein gravity coupled with neutral scalars.https://doi.org/10.1007/JHEP03(2021)263Black HolesClassical Theories of GravitySpacetime Singularities |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Rong-Gen Cai Li Li Run-Qiu Yang |
spellingShingle |
Rong-Gen Cai Li Li Run-Qiu Yang No inner-horizon theorem for black holes with charged scalar hairs Journal of High Energy Physics Black Holes Classical Theories of Gravity Spacetime Singularities |
author_facet |
Rong-Gen Cai Li Li Run-Qiu Yang |
author_sort |
Rong-Gen Cai |
title |
No inner-horizon theorem for black holes with charged scalar hairs |
title_short |
No inner-horizon theorem for black holes with charged scalar hairs |
title_full |
No inner-horizon theorem for black holes with charged scalar hairs |
title_fullStr |
No inner-horizon theorem for black holes with charged scalar hairs |
title_full_unstemmed |
No inner-horizon theorem for black holes with charged scalar hairs |
title_sort |
no inner-horizon theorem for black holes with charged scalar hairs |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2021-03-01 |
description |
Abstract We establish a no inner-horizon theorem for black holes with charged scalar hairs. Considering a general gravitational theory with a charged scalar field, we prove that there exists no inner Cauchy horizon for both spherical and planar black holes with non-trivial scalar hair. The hairy black holes approach to a spacelike singularity at late interior time. This result is independent of the form of scalar potentials as well as the asymptotic boundary of spacetimes. We prove that the geometry near the singularity takes a universal Kasner form when the kinetic term of the scalar hair dominates, while novel behaviors different from the Kasner form are uncovered when the scalar potential become important to the background. For the hyperbolic horizon case, we show that hairy black hole can only has at most one inner horizon, and a concrete example with an inner horizon is presented. All these features are also valid for the Einstein gravity coupled with neutral scalars. |
topic |
Black Holes Classical Theories of Gravity Spacetime Singularities |
url |
https://doi.org/10.1007/JHEP03(2021)263 |
work_keys_str_mv |
AT ronggencai noinnerhorizontheoremforblackholeswithchargedscalarhairs AT lili noinnerhorizontheoremforblackholeswithchargedscalarhairs AT runqiuyang noinnerhorizontheoremforblackholeswithchargedscalarhairs |
_version_ |
1721543134125490176 |