A note on no-hair properties of static black holes in four and higher dimensional spacetimes with cosmological constant

被引：1

作者：

Ishibashi, Akihiro ^{[1
,2
]}

Matsumoto, Satoshi ^{[1
]}

Yoneo, Yuichiro ^{[1
]}

机构：

[1] Kindai Univ, Dept Phys, Higashi Osaka, Osaka 5778502, Japan

[2] Kindai Univ, Res Inst Sci & Technol, Higashi Osaka, Osaka 5778502, Japan

来源：

CLASSICAL AND QUANTUM GRAVITY | 2024年 / 41卷 / 08期

关键词：

no-hair; higher dimension; cosmological constant; hairy black holes; (Anti-)de-Sitter; scalar fields; UNIQUENESS; SITTER; EXISTENCE;

D O I：

10.1088/1361-6382/ad33ce

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study no-hair properties of static black holes in four and higher dimensional spacetimes with a cosmological constant. For the vanishing cosmological constant case, we show a no-hair theorem and also a no-short-hair theorem under certain conditions for the energy-momentum of matter fields. For the positive cosmological constant case, we discuss conditions for hairy static black holes to exist in terms of the energy density of matter fields evaluated at the black hole horizon and the cosmological horizon. For the negative cosmological constant case, we study conditions for hairy black holes by presenting a no-hair theorem in which the asymptotic structure is assumed to be determined by the true cosmological constant.

引用

页数：16

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