Axially Symmetric Rotating Black Holes, Boyer–Lindquist Coordinates, and Regularity Conditions on Horizons

IF 1.2 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS
H. V. Ovcharenko, O. B. Zaslavskii
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引用次数: 0

Abstract

We consider the metric of an axially symmetric rotating black hole. We do not specify the concrete form of a metric and rely on its behavior near the horizon only. Typically, it is characterized (in the coordinates that generalize the Boyer–Lindquist ones) by two integers \(p\) and \(q\) that enter asymptotic expansions of the time and radial metric coefficients in the main approximation. For given \(p\) and \(q\) we find a general form for which the metric is regular, and how the expansions of the metric coefficients look like. We compare two types of requirement: (i) boundedness of curvature invariants, (ii) boundedness of separate components of the curvature tensor in a freely falling frame. Analysis is done for nonextremal, extremal and ultraextremal horizons separately.

轴对称旋转黑洞,Boyer-Lindquist坐标和视界上的正则性条件
我们考虑轴对称旋转黑洞的度规。我们不指定度规的具体形式,只依赖于它在视界附近的行为。通常,它的特征(在推广Boyer-Lindquist的坐标中)是两个整数\(p\)和\(q\),它们在主近似中进入时间和径向度量系数的渐近展开式。对于给定的\(p\)和\(q\),我们找到了度规是规则的一般形式,以及度规系数的展开式是什么样的。我们比较了两种类型的要求:(i)曲率不变量的有界性,(ii)自由落体中曲率张量的独立分量的有界性。分别对非极值、极值和超极值视界进行了分析。
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来源期刊
Gravitation and Cosmology
Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-
CiteScore
1.70
自引率
22.20%
发文量
31
审稿时长
>12 weeks
期刊介绍: Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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