Angular momentum independence of the entropy sum and entropy product for AdS rotating black holes in all dimensions

doi:http://dx.doi.org/10.1016/j.physletb.2016.05.084

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	Angular momentum independence of the entropy sum and entropy product for AdS rotating black holes in all dimensions
	Liu, H; Meng, XH; Liu, H (reprint author), Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China.
刊名	PHYSICS LETTERS B
	2016
卷号	759 页码:253-259
DOI	http://dx.doi.org/10.1016/j.physletb.2016.05.084
英文摘要	In this paper, we investigate the angular momentum independence of the entropy sum and product for AdS rotating black holes based on the first law of thermodynamics and a mathematical lemma related to Vandermonde determinant. The advantage of this method is that the explicit forms of the spacetime metric, black hole mass and charge are not needed but the Hawking temperature and entropy formula on the horizons are necessary for static black holes, while our calculations require the expressions of metric and angular velocity formula. We find that the entropy sum is always independent of angular momentum for all dimensions and the angular momentum-independence of entropy product only holds for the dimensions d > 4 with at least one rotation parameter a(i) = 0, while the mass-free of entropy sum and entropy product for rotating black holes only stand for higher dimensions (d > 4) and for all dimensions, respectively. On the other hand, we find that the introduction of a negative cosmological constant does not affect the angular momentum-free of entropy sum and product but the criterion for angular momentum-independence of entropy product will be affected. (C) 2016 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license.
学科主题	Astronomy & Astrophysics ; Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/21562]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Liu, H (reprint author), Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China.
推荐引用方式 GB/T 7714	Liu, H,Meng, XH,Liu, H . Angular momentum independence of the entropy sum and entropy product for AdS rotating black holes in all dimensions[J]. PHYSICS LETTERS B,2016,759:253-259.
APA	Liu, H,Meng, XH,&Liu, H .(2016).Angular momentum independence of the entropy sum and entropy product for AdS rotating black holes in all dimensions.PHYSICS LETTERS B,759,253-259.
MLA	Liu, H,et al."Angular momentum independence of the entropy sum and entropy product for AdS rotating black holes in all dimensions".PHYSICS LETTERS B 759(2016):253-259.