Black ring entropy from the Weyl tensor

doi:10.1007/s11467-018-0789-8

Frontiers of Physics

2018, Vol. 13

Issue (5): 130401 https://doi.org/10.1007/s11467-018-0789-8

本期目录

Black ring entropy from the Weyl tensor

Ze-Wei Zhao¹, Chun-Kai Yu^1,², Nan Li¹(

)

¹. Department of Physics, College of Sciences, Northeastern University, Shenyang 110819, China
². Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China

全文: PDF(178 KB)

Abstract：

A black ring is an asymptotically flat vacuum solution of the n-dimensional Einstein equations with an event horizon of topology S¹×Sⁿ⁻³. In this study, a connection between the black ring entropy and the Weyl tensor C_μνλρ is explored by interpreting the Weyl scalar invariant C_μνλρC^μνλρ as the entropy density in five-dimensional space-time. It is shown that the proper volume integral of C_μνλρC^μνλρ for a neutral black ring is proportional to the black ring entropy in the thin-ring limit. Similar calculations are extended to more general cases: a black string, a black ring with two angular momenta, and a black ring with a cosmological constant. The proportionality is also found to be valid for these complex black objects at the leading order.

Key words： black ring Weyl tensor entropy Penrose conjecture

收稿日期: 2018-02-02 出版日期: 2018-05-25

Corresponding Author(s): Nan Li

引用本文:

. [J]. Frontiers of Physics, 2018, 13(5): 130401.
Ze-Wei Zhao, Chun-Kai Yu, Nan Li. Black ring entropy from the Weyl tensor. Front. Phys. , 2018, 13(5): 130401.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-018-0789-8
https://academic.hep.com.cn/fop/CN/Y2018/V13/I5/130401

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