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Wang, J; Xu, W; Meng, XH; Wang, J (reprint author), Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China.
The "universal property" of horizon entropy sum of black holes in four dimensional asymptotical (anti-)de-Sitter spacetime background
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
KeywordMetrics Mass
AbstractWe present a new "universal property" of entropy, that is the "entropy sum" relation of black holes in four dimensional (anti-)de-Sitter asymptotical background. They depend only on the cosmological constant with the necessary effect of the un-physical "virtual" horizon included in the spacetime where only the cosmological constant, mass of black hole, rotation parameter and Maxwell field exist. When there is more extra matter field in the spacetime, one will find the "entropy sum" is also dependent of the strength of these extra matter field. For both cases, we conclude that the "entropy sum" does not depend on the conserved charges M, Q and J, while it does depend on the property of background spacetime. We will mainly test the "entropy sum" relation in static, stationary black hole and some black hole with extra matter source (scalar hair and higher curvature) in the asymptotical (anti-)de-sitter spacetime background. Besides, we point out a newly found counter example of the mass independence of the "entropy product" relation in the spacetime with extra scalar hair case, while the "entropy sum" relation still holds. These result are indeed suggestive to some underlying microscopic mechanism. Moreover, the cosmological constant and extra matter field dependence of the "entropy sum" of all horizon seems to reveal that "entropy sum" is more general as it is only related to the background field. For the case of asymptotical flat spacetime without any matter source, we give a note for the Kerr black hole case in appendix. One will find only mass dependence of "entropy sum" appears. It makes us believe that, considering the dependence of "entropy sum", the mass background field may be regarded as the next order of cosmological constant background field and extra matter field. However, fully explaining the relationship between the "entropy sum" relation and background properties still requires further exploration.
2014
ISSN1029-8479
Issue1Pages:31
Subject AreaPhysics
DOI10.1007/JHEP01(2014)031
Indexed BySCI
Funding OrganizationNatural Science Foundation of China (NSFC) [11075078] ; Natural Science Foundation of China (NSFC) [11075078] ; Natural Science Foundation of China (NSFC) [11075078] ; Natural Science Foundation of China (NSFC) [11075078]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15514
Collection理论物理所科研产出_SCI论文
Corresponding AuthorWang, J (reprint author), Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China.
Recommended Citation
GB/T 7714
Wang, J,Xu, W,Meng, XH,et al. The "universal property" of horizon entropy sum of black holes in four dimensional asymptotical (anti-)de-Sitter spacetime background[J]. JOURNAL OF HIGH ENERGY PHYSICS,2014(1):31.
APA Wang, J,Xu, W,Meng, XH,&Wang, J .(2014).The "universal property" of horizon entropy sum of black holes in four dimensional asymptotical (anti-)de-Sitter spacetime background.JOURNAL OF HIGH ENERGY PHYSICS(1),31.
MLA Wang, J,et al."The "universal property" of horizon entropy sum of black holes in four dimensional asymptotical (anti-)de-Sitter spacetime background".JOURNAL OF HIGH ENERGY PHYSICS .1(2014):31.
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