(反)德西特时空中加速Kerr-Newman黑洞的微分曲率不变量和事件视界探测

IF 2.1 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
G. V. Kraniotis
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引用次数: 0

摘要

我们计算了具有宇宙常数\(\varLambda \)的加速、旋转和带电黑洞的解析微分曲率不变量。具体来说,我们计算了Karlhede和Abdelqader-Lake不变量的新颖封闭形式表达式,用于加速(反)de Sitter时空或其子集中的Kerr-Newman黑洞,目的是检测物理上相关的表面,如视界和遍历球。我们明确地证明了某些特定时空的计算不变量在事件视界、柯西视界和加速度视界或遍历面上消失。利用Bianchi恒等式,我们以Newman-Penrose四分体的封闭形式计算了一般加速、旋转和带电Plebański-Demiański黑洞的Page-Shoom曲率不变量,并证明了\(\varLambda \not =0\)在相关表面上为零。对于在视界半径处消失的不变量,我们表明在其他任何地方都是非零的,或者在存在额外根的情况下,这些根不影响它们探测物理相关表面的能力。这种曲率不变量是局部可测量的量,因此可以允许局部实验检测事件和加速视界或外部遍历面。微分不变量是与前两个Weyl不变量的梯度相关的范数,对其进行了详细的探讨。尽管这两家公司都在本地单独列出了地平线,但它们的全球行为也很有趣。两者都反映了背景角动量和电荷,因为空间体积允许类时梯度随着自旋和电荷的增加而减小。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Differential curvature invariants and event horizon detection for accelerating Kerr–Newman black holes in (anti-)de Sitter spacetime

We compute analytically differential curvature invariants for accelerating, rotating and charged black holes with a cosmological constant \(\varLambda \). Specifically, we compute novel closed-form expressions for the Karlhede and the Abdelqader-Lake invariants, for accelerating Kerr–Newman black holes in (anti-)de Sitter spacetime or subsets thereof with the aim of detecting physically relevant surfaces, like horizons and ergospheres. We explicitly show that some of the computed invariants of the particular class of spacetimes are vanishing at the event, Cauchy and acceleration horizons or ergosurface. Using the Bianchi identities we calculate in the Newman-Penrose tetrad formalism in closed-form the Page-Shoom curvature invariant for the general class of accelerating, rotating and charged Plebański-Demiański black holes with \(\varLambda \not =0\) and we prove that is zero at the relevant surfaces. For the invariants that vanish at horizon radii we show that are non-zero everywhere else, or in the case there are additional roots such roots do not affect their capability to detect the physically relevant surfaces. Such curvature invariants are locally measurable quantities and thus could allow the local experimental detection of the event and acceleration horizons or outer ergosurface. The differential invariants which are norms associated with the gradients of the first two Weyl invariants, are explored in detail. Although both locally single out the horizons, their global behaviour is also intriguing. Both reflect the background angular momentum and electric charge as the volume of space allowing a timelike gradient decreases with increasing spin and charge.

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来源期刊
General Relativity and Gravitation
General Relativity and Gravitation 物理-天文与天体物理
CiteScore
4.60
自引率
3.60%
发文量
136
审稿时长
3 months
期刊介绍: General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation. It welcomes in particular original articles on the following topics of current research: Analytical general relativity, including its interface with geometrical analysis Numerical relativity Theoretical and observational cosmology Relativistic astrophysics Gravitational waves: data analysis, astrophysical sources and detector science Extensions of general relativity Supergravity Gravitational aspects of string theory and its extensions Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations Quantum field theory in curved spacetime Non-commutative geometry and gravitation Experimental gravity, in particular tests of general relativity The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.
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