ittle cFirst law of black hole mechanics in variable background fields
Wu, SF; Ge, XH; Liu, YX(刘玉孝); Wu, SF (reprint author), Shanghai Univ, Dept Phys, Shanghai 200444, Peoples R China.; Wu, SF (reprint author), Shanghai Key Lab Astrophys, Shanghai 200234, Peoples R China.
2017-06
发表期刊GENERAL RELATIVITY AND GRAVITATION
ISSN0001-7701
卷号49期号:6
出版者SPRINGER
摘要It is well known that in general theories of gravity with the diffeomorphism symmetry, the black hole entropy is a Noether charge. But what will happen if the symmetry is explicitly broken? By investigating the covariant first law of black hole mechanics with background fields, we show that the would-be Noether charge still can be identified as the black hole entropy, provided that it is a local quantity on the horizon. Moreover, motivated by the proposal that the cosmological constant behaves as a thermodynamic variable, we allow the non-dynamical background fields to be varied. To illustrate this general formalism, we study a generic static black brane in the massive gravity. Using the first law and the scaling argument, we obtain two Smarr formulas. We show that both of them can be retrieved without relying on the first law, hence providing a self-consistent check of the theory.
出版地NEW YORK
关键词Black hole thermodynamics Diffeomorphism symmetry Smarr formula Massive gravity
学科领域Astronomy & Astrophysics ; Physics
作者部门[Wu, Shao-Feng;
Ge, Xian-Hui] Shanghai Univ, Dept Phys, Shanghai 200444, Peoples R China;
[Wu, Shao-Feng] Shanghai Key Lab Astrophys, Shanghai 200234, Peoples R China;
[Liu, Yu-Xiao] Lanzhou Univ, Inst Theoret Phys, Lanzhou 730000, Peoples R China
DOI10.1007/s10714-017-2246-3
文章类型Article
收录类别SCIE
所属项目编号NSFC [11675097, 11275120, 11375110, 11522541]
语种英语
资助项目国家自然科学基金项目
项目资助者NSFC
WOS记录号WOS:000403466200013
IR记录号WOS:000403466200013
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文献类型期刊论文
条目标识符http://ir.lzu.edu.cn/handle/262010/190288
Collection物理科学与技术学院
通讯作者Wu, SF (reprint author), Shanghai Univ, Dept Phys, Shanghai 200444, Peoples R China.; Wu, SF (reprint author), Shanghai Key Lab Astrophys, Shanghai 200234, Peoples R China.
作者单位17PHYS
Recommended Citation:
GB/T 7714
Wu, SF,Ge, XH,Liu, YX,et al. ittle cFirst law of black hole mechanics in variable background fields[J]. GENERAL RELATIVITY AND GRAVITATION,2017,49(6).
APA Wu, SF,Ge, XH,Liu, YX,Wu, SF ,&Wu, SF .(2017).ittle cFirst law of black hole mechanics in variable background fields.GENERAL RELATIVITY AND GRAVITATION,49(6).
MLA Wu, SF,et al."ittle cFirst law of black hole mechanics in variable background fields".GENERAL RELATIVITY AND GRAVITATION 49.6(2017).
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