期刊
CLASSICAL AND QUANTUM GRAVITY
卷 35, 期 14, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1361-6382/aacc20
关键词
Killing horizon; Euler characteristics; f (R) gravity; Yamabe invariant; conformal transformation
类别
资金
- Department of Science and Technology, Government of India under the SERB MATRICS Grant [MTR/2017/000399]
- INSPIRE-DST, Government of India
Hawking's topology theorem in general relativity restricts the cross-section of the event horizon of a black hole in 3 + 1 dimension to be either spherical or toroidal. The toroidal case is ruled out by the topology censorship theorems. In this article, we discuss the generalization of this result to black holes in f (R) gravity in 3 + 1 and higher dimensions. We obtain a sufficient differential condition on the function f' (R), which restricts the topology of the horizon cross-section of a black hole in f (R) gravity in 3 + 1 dimension to be either S-2 or S-1 x S-1. We also extend the result to higher dimensional black holes and show that the same sufficient condition also restricts the sign of the Yamabe invariant of the horizon cross-section.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据