Angular Momentum-Free of the Entropy Relations for Rotating Kaluza-Klein Black Holes
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- 作者：Hang Liu ; Xin-he Meng
- 关键词：Black hole thermodynamics ; Angular momentum independence ; Entropy relations ; General Relativity
- 刊名：International Journal of Theoretical Physics
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：56
- 期：2
- 页码：437-449
- 全文大小：
- 刊物类别：Physics and Astronomy
- 刊物主题：Physics, general; Quantum Physics; Elementary Particles, Quantum Field Theory; Theoretical, Mathematical and Computational Physics;
- 出版者：Springer US
- ISSN：1572-9575
- 卷排序：56
文摘
Based on a mathematical lemma related to the Vandermonde determinant and two theorems derived from the first law of black hole thermodynamics, we investigate the angular momentum independence of the entropy sum as well as the entropy product of general rotating Kaluza-Klein black holes in higher dimensions. We show that for both non-charged rotating Kaluza-Klein black holes and non-charged rotating Kaluza-Klein-AdS black holes, the angular momentum of the black holes will not be present in entropy sum relation in dimensions d≥4, while the independence of angular momentum of the entropy product holds provided that the black holes possess at least one zero rotation parameter aj = 0 in higher dimensions d≥5, which means that the cosmological constant does not affect the angular momentum-free property of entropy sum and entropy product under the circumstances that charge δ=0. For the reason that the entropy relations of charged rotating Kaluza-Klein black holes as well as the non-charged rotating Kaluza-Klein black holes in asymptotically flat spacetime act the same way, it is found that the charge has no effect in the angular momentum-independence of entropy sum and product in asymptotically flat spactime.