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We prove uniqueness of the Kerr black holes within the connected, non-degenerate, analytic class of regular vacuum black holes.

广义相对论与量子宇宙学 · 物理学 2012-06-20 Piotr T. Chruściel , João Lopes Costa

We define a notion of extrinsic black hole in pure Lovelock gravity of degree $k$ which captures the essential features of the so-called Lovelock-Schwarzschild solutions, viewed as rotationally invariant hypersurfaces with null $2k$-mean…

微分几何 · 数学 2021-10-13 Levi Lopes de Lima , Frederico Girão , José Natário

We review uniqueness theorems as well as other general results about higher dimensional black hole spacetimes. This includes in particular theorems about the topology of higher dimensional spacetimes, theorems about their symmetries…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Stefan Hollands , Akihiro Ishibashi

We study some features of static and spherically symmetric solutions (SSS) with a horizon in $f(R)$ theories of gravitation by means of a near-horizon analysis. A necessary condition for an $f(R)$ theory to have this type of solution is…

广义相对论与量子宇宙学 · 物理学 2013-05-29 Santiago Esteban Perez Bergliaffa , Yves Eduardo Chifarelli de Oliveira Nunes

Singularities associated with an incomplete space-time (S) are not well-defined until a boundary is attached to it. Moreover, each boundary gives rise to a different singularity structure for the resulting total space-time (TST). Since S is…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Leonard S. Abrams

We present a new class of black hole solutions in third-order Lovelock gravity whose horizons are Einstein space with two supplementary conditions on their Weyl tensors. These solutions are obtained with the advantage of higher curvature…

广义相对论与量子宇宙学 · 物理学 2015-06-22 N. Farhangkhah , M. H. Dehghani

We consider arbitrary stationary and axisymmetric black holes in general relativity in $(d +1)$ dimensions (with $d \geq 3$) that satisfy the vacuum Einstein equation and have a non-degenerate horizon. We prove that the canonical energy of…

广义相对论与量子宇宙学 · 物理学 2017-12-06 Kartik Prabhu , Robert M. Wald

We give a covariant characterisation of the Penrose plane wave limit: the plane wave profile matrix $A(u)$ is the restriction of the null geodesic deviation matrix (curvature tensor) of the original spacetime metric to the null geodesic,…

高能物理 - 理论 · 物理学 2009-11-10 Matthias Blau , Monica Borunda , Martin O'Loughlin , George Papadopoulos

We demonstrate the existence of static, spherically symmetric globally regular, i.e. solitonic solutions of a shift-symmetric scalar-tensor gravity model with negative cosmological constant. The norm of the Noether current associated to the…

广义相对论与量子宇宙学 · 物理学 2018-08-01 Yves Brihaye , Betti Hartmann , Jon Urrestilla

An approach to black hole quantization is proposed wherein it is assumed that quantum coherence is preserved. A consequence of this is that the Penrose diagram describing gravitational collapse will show the same topological structure as…

广义相对论与量子宇宙学 · 物理学 2010-04-06 C. R. Stephens , G. 't Hooft , B. F. Whiting

A short review on spherically symmetric static regular black holes and spherically symmetric non singular cosmological space-time is presented. Several models of regular black holes, including new ones, are considered. First, a large class…

广义相对论与量子宇宙学 · 物理学 2022-11-24 Lorenzo Sebastiani , Sergio Zerbini

A class of nonstationary spacetimes is obtained by means of a conformal transformation of the Schwarzschild metric, where the conformal factor $a(t)$ is an arbitrary function of the time coordinate only. We investigate several situations…

广义相对论与量子宇宙学 · 物理学 2017-05-05 Marina M. C. Mello , Alan Maciel , Vilson T. Zanchin

This is the first of series of papers in which we investigate stability of the spherically symmetric space-time with de Sitter center. Geometry, asymptotically Schwarzschild for large $r$ and asymptotically de Sitter as $r\to 0$, describes…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Irina Dymnikova , Evgeny Galaktionov

Using a second law of complexity, we prove a black hole singularity theorem. By introducing the notion of trapped extremal surfaces, we show that their existence implies null geodesic incompleteness inside globally hyperbolic black holes.…

高能物理 - 理论 · 物理学 2025-07-31 Vyshnav Mohan

Aretakis has proved that a massless scalar field has an instability at the horizon of an extreme Reissner-Nordstr\"om black hole. We show that a similar instability occurs also for a massive scalar field and for coupled linearized…

广义相对论与量子宇宙学 · 物理学 2015-06-12 James Lucietti , Keiju Murata , Harvey S. Reall , Norihiro Tanahashi

We provide a simple, unified proof of Birkhoff's theorem for the vacuum and cosmological constant case, emphasizing its local nature. We discuss its implications for the maximal analytic extensions of Schwarzschild, Schwarzschild(-anti)-de…

广义相对论与量子宇宙学 · 物理学 2015-05-14 Kristin Schleich , Donald M. Witt

Static spherically symmetric black holes and particle like solutions with self interacting minimally coupled scalar field {\phi} are analyzed. They are asymptotically flat or anti-de Sitter (AdS). We express them in terms of a single…

广义相对论与量子宇宙学 · 物理学 2016-02-12 J. Tafel

We investigate the pair creation of noncommutative black holes in a background with positive cosmological constant. As a first step we derive the noncommutative geometry inspired Schwarzschild deSitter solution. By varying the mass and the…

广义相对论与量子宇宙学 · 物理学 2011-09-14 Robert B. Mann , Piero Nicolini

A straightforward generalization of the celebrated uniqueness theorem to dimensions greater than four was recently found to fail in two pure gravity cases - the 5d rotating black ring and the black string on R^{3,1} * S^1. Two amendments…

高能物理 - 理论 · 物理学 2007-05-23 Barak Kol

We consider static spherically symmetric Lovelock black holes and generalize the dimensionally continued black holes in such a way that they asymptotically for large r go over to the d-dimensional Schwarzschild black hole in dS/AdS…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Naresh Dadhich , Josep M. Pons , Kartik Prabhu