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相关论文: Extended Kerr-Schild spacetimes: General propertie…

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We extend the concept of the Kodama symmetry, a quasi-local time translation symmetry for dynamical spherically symmetric spacetimes, to a specific class of dynamical axisymmetric spacetimes, namely the families of Kerr-Vaidya and…

广义相对论与量子宇宙学 · 物理学 2024-07-12 Philipp Dorau , Rainer Verch

Motivated by recent studies on the uniqueness or non-uniqueness of higher dimensional black hole spacetime, we investigate the asymptotic structure of spatial infinity in n-dimensional spacetimes($n \geq 4$). It turns out that the geometry…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Tetsuya Shiromizu , Shinya Tomizawa

Parameterized Kerr spacetimes allow us to test the nature of black holes in model-independent ways. Such spacetimes contain several arbitrary functions and, as a matter of practicality, one Taylor expands them about infinity and keeps only…

广义相对论与量子宇宙学 · 物理学 2024-01-22 Kent Yagi , Samantha Lomuscio , Tristen Lowrey , Zack Carson

We review recent developments and applications of the classification of the Weyl tensor in higher dimensional Lorentzian geometries. First, we discuss the general setup, i.e. main definitions and methods for the classification, some…

广义相对论与量子宇宙学 · 物理学 2012-12-17 Marcello Ortaggio , Vojtech Pravda , Alena Pravdova

We study the existence of a non-spacelike isometry, \zeta, in higher dimensional Kundt spacetimes with constant scalar curvature invariants (CSI). We present the particular forms for the null or timelike Killing vectors and a set of…

微分几何 · 数学 2012-11-30 David McNutt , Nicos Pelavas , Alan Coley

Solution generating techniques for general relativity with a conformally (and minimally) coupled scalar field are pushed forward to build a wide class of asymptotically flat, axisymmetric and stationary spacetimes continuously connected to…

广义相对论与量子宇宙学 · 物理学 2015-03-31 Marco Astorino

We study in some detail the "extended Kerr-Schild" formulation of general relativity, which decomposes the gauge-independent degrees of freedom of a generic metric into two arbitrary functions and the choice of a flat background tetrad. We…

广义相对论与量子宇宙学 · 物理学 2016-11-29 Xun Wang , Jianwei Mei

We extend one of the Hawking-Penrose singularity theorems in general relativity to the case of some scalar-tensor gravity theories in which the scalar field has a geometrical character and space-time has the mathematical structure of a Weyl…

广义相对论与量子宇宙学 · 物理学 2015-10-28 I. P. Lobo , A. B. Barreto , C. Romero

Using asymptotic characterization results of spacetimes at conformal infinity, we prove that Kerr-Schild-de Sitter spacetimes are in one-to-one correspondence with spacetimes in the Kerr-de Sitter-like class with conformally flat…

广义相对论与量子宇宙学 · 物理学 2022-02-23 Marc Mars , Carlos Peón-Nieto

We provide a characterisation of the Kerr spacetime close to future null infinity using the asymptotic characteristic initial value problem in a conformally compactified spacetime. Stewart's gauge is used to set up the past-oriented…

广义相对论与量子宇宙学 · 物理学 2024-12-05 Robert Sansom , Juan A. Valiente Kroon

In a previous paper [S.Q. Wu, Phys. Rev. D 83, 121502(R) (2011)], a new kind of metric ansatz was found to fairly describe all already known black hole solutions in the ungauged Kaluza-Klein (KK) supergravity theories. That metric ansatz…

高能物理 - 理论 · 物理学 2015-06-01 Shuang-Qing Wu , He Wang

A characterization of the Kerr-NUT-(A)de Sitter metric among four dimensional \Lambda-vacuum spacetimes admitting a Killing vector is obtained in terms of the proportionality of the self-dual Weyl tensor and a natural self-dual double…

广义相对论与量子宇宙学 · 物理学 2016-12-20 Marc Mars , José M. M. Senovilla

We study exact vacuum solutions to quadratic gravity (QG) of the Weyl types N and III. We show that in an arbitrary dimension all Einstein spacetimes of the Weyl type N with an appropriately chosen effective cosmological constant $\Lambda$…

广义相对论与量子宇宙学 · 物理学 2011-08-12 Tomáš Málek , Vojtěch Pravda

We investigate the implications of the existence of Killing spinors in a spacetime. In particular, we show that in vacuum and electrovacuum a Killing spinor, along with some assumptions on the associated Killing vector in an asymptotic…

广义相对论与量子宇宙学 · 物理学 2016-05-25 Michael J. Cole , Juan A. Valiente Kroon

The original Kerr theorem provides the foundation for Kerr-Schild transformations by classifying all shear-free and geodesic null congruences in flat spacetime; the key ingredient of the Kerr-Schild ansatz. However, due to the high level of…

广义相对论与量子宇宙学 · 物理学 2025-08-28 Eloy Ayón-Beato , Daniel Flores-Alfonso , Mokhtar Hassaine

We show that, contrary to what is usually claimed in the literature, the zero mass limit of Kerr spacetime is not flat Minkowski space but a spacetime whose geometry is only locally flat. This limiting spacetime, as the Kerr spacetime…

高能物理 - 理论 · 物理学 2017-08-02 Gary W. Gibbons , Mikhail S. Volkov

We analyze the stationary, uncharged, rotating, vacuum solution to Weyl conformal gravity. We elucidate the causal and ergoregion structure of the spacetimes found in the parameter space of the metric for positive mass. These are then…

广义相对论与量子宇宙学 · 物理学 2025-10-29 Miguel Yulo Asuncion , Keith Horne , Reinosuke Kusano , Martin Dominik

We show that both the interior region $r<M-\sqrt{M^2-a^2}$ of a Kerr black hole and the $a^2>M^2$ Kerr naked singularity admit unstable solutions of the Teukolsky equation for any value of the spin weight. For every harmonic number there is…

广义相对论与量子宇宙学 · 物理学 2012-08-10 Gustavo Dotti , Reinaldo J. Gleiser , Ignacio F. Ranea-Sandoval

We consider a general class of four-dimensional geometries admitting a null vector field that has no twist and no shear but has an arbitrary expansion. We explicitly present the Petrov classification of such Robinson-Trautman (and Kundt)…

广义相对论与量子宇宙学 · 物理学 2017-05-08 Jiri Podolsky , Robert Svarc

This paper is motivated by the non-linear stability problem for the expanding region of Kerr de Sitter cosmologies in the context of Einstein's equations with positive cosmological constant. We show that under dynamically realistic…

偏微分方程分析 · 数学 2021-03-03 Volker Schlue