On thermodynamics of AdS black holes with scalar hair
It has been known that in the presence of a scalar hair there would be a distinct additional contribution to the first law of black hole thermodynamics. While it has been checked in many examples, a deeper understanding of this issue is necessary. The thermodynamics of AdS black holes in Einstein-sc...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021-04-01
|
| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269321000630 |
| id |
doaj-6d4628eec88f4202a6ab16168785c86e |
|---|---|
| record_format |
Article |
| spelling |
doaj-6d4628eec88f4202a6ab16168785c86e2021-03-22T12:35:16ZengElsevierPhysics Letters B0370-26932021-04-01815136123On thermodynamics of AdS black holes with scalar hairLi Li0CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China; School of Physical Sciences, University of Chinese Academy of Sciences, No. 19A Yuquan Road, Beijing 100049, China; School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China; Correspondence to: CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China.It has been known that in the presence of a scalar hair there would be a distinct additional contribution to the first law of black hole thermodynamics. While it has been checked in many examples, a deeper understanding of this issue is necessary. The thermodynamics of AdS black holes in Einstein-scalar gravity is studied by using the standard holographic renormalization procedure and the variation of the Hamiltonian via the Wald formalism. It is found that the first law requires a modification by including an additional term that has a particular form ∼〈O〉δϕs, with ϕs and 〈O〉 a new pair of thermodynamic conjugate variables. ϕs is the leading source term of the asymptotic fall-off of the scalar field near the AdS boundary, and 〈O〉 is precisely the response of the dual scalar operator from the holographic point of view. Some hairy black holes are constructed explicitly to check the first law of thermodynamics as well as the thermodynamic relations.http://www.sciencedirect.com/science/article/pii/S0370269321000630 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Li Li |
| spellingShingle |
Li Li On thermodynamics of AdS black holes with scalar hair Physics Letters B |
| author_facet |
Li Li |
| author_sort |
Li Li |
| title |
On thermodynamics of AdS black holes with scalar hair |
| title_short |
On thermodynamics of AdS black holes with scalar hair |
| title_full |
On thermodynamics of AdS black holes with scalar hair |
| title_fullStr |
On thermodynamics of AdS black holes with scalar hair |
| title_full_unstemmed |
On thermodynamics of AdS black holes with scalar hair |
| title_sort |
on thermodynamics of ads black holes with scalar hair |
| publisher |
Elsevier |
| series |
Physics Letters B |
| issn |
0370-2693 |
| publishDate |
2021-04-01 |
| description |
It has been known that in the presence of a scalar hair there would be a distinct additional contribution to the first law of black hole thermodynamics. While it has been checked in many examples, a deeper understanding of this issue is necessary. The thermodynamics of AdS black holes in Einstein-scalar gravity is studied by using the standard holographic renormalization procedure and the variation of the Hamiltonian via the Wald formalism. It is found that the first law requires a modification by including an additional term that has a particular form ∼〈O〉δϕs, with ϕs and 〈O〉 a new pair of thermodynamic conjugate variables. ϕs is the leading source term of the asymptotic fall-off of the scalar field near the AdS boundary, and 〈O〉 is precisely the response of the dual scalar operator from the holographic point of view. Some hairy black holes are constructed explicitly to check the first law of thermodynamics as well as the thermodynamic relations. |
| url |
http://www.sciencedirect.com/science/article/pii/S0370269321000630 |
| work_keys_str_mv |
AT lili onthermodynamicsofadsblackholeswithscalarhair |
| _version_ |
1724208695266508800 |