天体物理环境中静态轴对称黑洞和超紧凑物体的无毛和几乎无毛结果

IF 3.6 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
Carlos Barceló, Raúl Carballo-Rubio, Luis J Garay and Gerardo García-Moreno
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引用次数: 0

摘要

无毛定理是广义相对论中约束黑洞度规形式的唯一性结果。这些定理通常是在理想化的假设下制定的,涉及局部(视界的规律性)和整体方面(处处是真空时空和渐近平坦性)的混合。这限制了它们对天体物理场景的适用性,比如双黑洞和吸积系统,以及它们对水平物体的扩展。先前由于g rlebeck的结果约束了包含被物质包围的黑洞的静态时空的渐近多极结构,尽管没有揭示度规本身的可能结构。在这项工作中,我们在静态和轴对称情况下解开了这些假设中的一些。具体来说:(i)我们表明,只有一个单一参数的黑洞几何形状家族与给定的外部引力场兼容;(ii)我们还分析了中心物体接近形成事件视界但仍然是水平的情况,并表明在曲率有界的物理原理下,当接近黑洞极限时,与自然黑洞形状的偏差必须消失。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
No-hair and almost-no-hair results for static axisymmetric black holes and ultracompact objects in astrophysical environments
No-hair theorems are uniqueness results constraining the form of the metric of black holes in general relativity. These theorems are typically formulated under idealized assumptions, involving a mixture of local (regularity of the horizon) and global aspects (everywhere vacuum spacetime and asymptotic flatness). This limits their applicability to astrophysical scenarios of interest such as binary black holes and accreting systems, as well as their extension to horizonless objects. A previous result due to Gürlebeck constrains the asymptotic multipolar structure of static spacetimes containing black holes surrounded by matter although not revealing the possible structure of the metric itself. In this work, we disentangle some of these assumptions in the static and axisymmetric case. Specifically: (i) we show that only a one-parameter family of black-hole geometries is compatible with a given external gravitational field, (ii) we also analyze the case in which the central object is close to forming an event horizon but is still horizonless and show that the deviations from the natural black-hole shape have to die off as one approaches the black hole limit under the physical principle that curvatures are bounded.
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来源期刊
Classical and Quantum Gravity
Classical and Quantum Gravity 物理-天文与天体物理
CiteScore
7.00
自引率
8.60%
发文量
301
审稿时长
2-4 weeks
期刊介绍: Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.
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