The Petrov type D equation on genus $>0$ sections of isolated horizons
TLDR
The Petrov type D equation imposed on the 2-metric tensor and the rotation scalar of a cross-section of an isolated horizon can be used to uniquely distinguish the Kerr-anti-de Sitter spacetime in the case the topology of the crosssection is that of a sphere as mentioned in this paper.About:
This article is published in Physics Letters B.The article was published on 2018-08-10 and is currently open access. It has received 8 citations till now. The article focuses on the topics: De Sitter universe & Cosmological constant.read more
Citations
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Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
Roy P. Kerr,Roy P. Kerr +1 more
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The Near Horizon Geometry equation on compact 2-manifolds including the general solution for g > 0
TL;DR: In this article, the NHG equation with a cosmological constant Λ is considered on compact 2-dimensional manifolds and it is shown that every solution satisfies the Type D equation at every point of the manifold.
Journal ArticleDOI
The Petrov type D isolated null surfaces
TL;DR: In this paper, the authors studied generic black holes in vacuum-de-Sitter / anti-de Sitter spacetimes, where the relevant properties are captured in the intrinsic geometry of the null surface (the horizon).
Journal ArticleDOI
The Petrov type D isolated null surfaces
TL;DR: In this article, the authors studied generic black holes in vacuum-de-Sitter / anti-de Sitter spacetimes, where the relevant properties are captured in the intrinsic geometry of the null surface (the horizon).
Journal ArticleDOI
Projectively nonsingular horizons in Kerr-NUT–de Sitter spacetimes
TL;DR: In this article, the authors investigated the outermost and nonextremal horizons of the generic Kerr-NUT-de Sitter spacetimes and found that they are outermost, nonextreme, and non-singular.
References
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Phillip Griffiths,Joe Harris +1 more
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