A note on the mass of Kerr-AdS black holes in the off-shell generalized ADT formalism

doi:10.1088/1674-1056/26/10/100401

中国物理B ›› 2017, Vol. 26 ›› Issue (10): 100401-100401.doi: 10.1088/1674-1056/26/10/100401

A note on the mass of Kerr-AdS black holes in the off-shell generalized ADT formalism

Yi-De Jing(景艺德), Jun-Jin Peng(彭俊金)

School of Physics and Electronic Science, Guizhou Normal University, Guiyang 550001, China

收稿日期:2017-03-18 修回日期:2017-06-16 出版日期:2017-10-05 发布日期:2017-10-05
通讯作者: Jun-Jin Peng E-mail:pengjjph@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11505036 and 11275157) and partially supported by the Science Fund from the Technology Department of Guizhou Province, China (Grant No. (2016)1104).

A note on the mass of Kerr-AdS black holes in the off-shell generalized ADT formalism

Yi-De Jing(景艺德), Jun-Jin Peng(彭俊金)

School of Physics and Electronic Science, Guizhou Normal University, Guiyang 550001, China

Received:2017-03-18 Revised:2017-06-16 Online:2017-10-05 Published:2017-10-05
Contact: Jun-Jin Peng E-mail:pengjjph@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11505036 and 11275157) and partially supported by the Science Fund from the Technology Department of Guizhou Province, China (Grant No. (2016)1104).

摘要/Abstract

摘要： In this note, the off-shell generalized Abbott-Deser-Tekin (ADT) formalism is applied to explore the mass of Kerr-anti-de Sitter (Kerr-AdS) black holes in various dimensions within asymptotically rotating frames. The cases in four and five dimensions are explicitly investigated. It is demonstrated that the asymptotically rotating effect may make the charge non-integrable or unphysical when the asymptotic non-rotating timelike Killing vector associated with the charge is allowed to vary and the fluctuation of the metric is determined by the variation of all the mass and rotation parameters. To obtain a physically meaningful mass, it is proposed that one can let the non-rotating timelike Killing vector be fixed or perform calculations in the asymptotically static frame. The results further support that the ADT formalism is background-dependent.

关键词: conserved charge, Kerr-AdS black hole, ADT formalism

Abstract: In this note, the off-shell generalized Abbott-Deser-Tekin (ADT) formalism is applied to explore the mass of Kerr-anti-de Sitter (Kerr-AdS) black holes in various dimensions within asymptotically rotating frames. The cases in four and five dimensions are explicitly investigated. It is demonstrated that the asymptotically rotating effect may make the charge non-integrable or unphysical when the asymptotic non-rotating timelike Killing vector associated with the charge is allowed to vary and the fluctuation of the metric is determined by the variation of all the mass and rotation parameters. To obtain a physically meaningful mass, it is proposed that one can let the non-rotating timelike Killing vector be fixed or perform calculations in the asymptotically static frame. The results further support that the ADT formalism is background-dependent.

Key words: conserved charge, Kerr-AdS black hole, ADT formalism

中图分类号: (Classical general relativity)

04.20.-q

04.50.Gh (Higher-dimensional black holes, black strings, and related objects) 04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics)

景艺德, 彭俊金. A note on the mass of Kerr-AdS black holes in the off-shell generalized ADT formalism[J]. 中国物理B, 2017, 26(10): 100401-100401.

Yi-De Jing(景艺德), Jun-Jin Peng(彭俊金). A note on the mass of Kerr-AdS black holes in the off-shell generalized ADT formalism[J]. Chin. Phys. B, 2017, 26(10): 100401-100401.

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A note on the mass of Kerr-AdS black holes in the off-shell generalized ADT formalism

A note on the mass of Kerr-AdS black holes in the off-shell generalized ADT formalism

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