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A key result in the proof of black hole uniqueness in 4-dimensions is that a stationary black hole that is ``rotating''--i.e., is such that the stationary Killing field is not everywhere normal to the horizon--must be axisymmetric. The…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Stefan Hollands , Akihiro Ishibashi , Robert M. Wald

All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the…

广义相对论与量子宇宙学 · 物理学 2009-08-18 Stefan Hollands , Akihiro Ishibashi

The final equilibrium stage of stellar evolution can result in either a black hole or a compact object such as a white dwarf or neutron star. In general relativity, both stationary black holes and stationary stellar configurations are known…

广义相对论与量子宇宙学 · 物理学 2026-05-08 Nitesh K. Dubey , Sanved Kolekar , Sudipta Sarkar

We consider a generalized three-dimensional theory of gravity which is specified by two fields, the graviton and the dilaton, and one parameter. This theory contains, as particular cases, three-dimensional General Relativity and…

高能物理 - 理论 · 物理学 2014-11-18 P. M. Sá , J. P. S. Lemos

We prove a black hole rigidity result for slowly rotating stationary solutions of the Einstein vacuum equations. More precisely, we prove that the domain of outer communications of a regular stationary vacuum is isometric to the domain of…

广义相对论与量子宇宙学 · 物理学 2015-01-14 S. Alexakis , A. D. Ionescu , S. Klainerman

In recent years there has been some progress in the understanding of the global structure of stationary black hole space-times. In this paper we review some new results concerning the structure of stationary black hole space-times. In…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Piotr T. Chruściel

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

This article outlines the search for an exact general relativistic description of the exterior (vacuum) gravitational field of a rotating spheroidal black hole surrounded by a realistic axially symmetric disc of matter. The problem of…

广义相对论与量子宇宙学 · 物理学 2016-11-09 O. Semerak

Recently, there has been a lot of interest in Carroll black holes and in particular whether or not one could find a Carrollian analogue of a rotating black hole spacetime. Here we show that every stationary and axisymmetric solution (and…

高能物理 - 理论 · 物理学 2026-03-31 Ivan Kolář , David Kubiznak , Poula Tadros

Effective field theory methods suggest that some rather-general extensions of General Relativity include, or are mimicked by, certain higher-order curvature corrections, with coupling constants expected to be small but otherwise arbitrary.…

广义相对论与量子宇宙学 · 物理学 2023-08-29 Vitor Cardoso , Masashi Kimura , Andrea Maselli , Leonardo Senatore

Shape dynamics is a classical theory of gravity which agrees with general relativity in many important aspects, but which possesses different gauge symmetries and can present some fundamental global differences with respect to Einstein…

广义相对论与量子宇宙学 · 物理学 2014-10-07 Henrique Gomes , Gabriel Herczeg

We modify and generalize the known solution for the electromagnetic field when a vacuum, stationary, axisymmetric black hole is immersed in a uniform magnetic field to the case of nonvacuum black holes (of modified gravity) and determine…

广义相对论与量子宇宙学 · 物理学 2016-07-26 Mustapha Azreg-Aïnou

We prove that in Einstein-Maxwell theory the inequality $(8\pi J)^2+(4\pi Q^2)^2 < A^2$ holds for any sub-extremal axisymmetric and stationary black hole with arbitrary surrounding matter. Here $J, Q$, and $A$ are angular momentum, electric…

广义相对论与量子宇宙学 · 物理学 2009-12-04 Jörg Hennig , Carla Cederbaum , Marcus Ansorg

We present a generalization of the black hole solution with spherical symmetry already known in the literature for $N$-dimensional $F(R)$ gravity with a conformally invariant Maxwell field and constant scalar curvature $R$. This solution…

广义相对论与量子宇宙学 · 物理学 2022-04-21 Ernesto F. Eiroa , Griselda Figueroa-Aguirre

In this paper we describe a model of a four-dimensional spherically symmetric black hole in a limiting curvature theory of gravity. In this theory the Einstein-Hilbert action is modified by adding to the action terms providing inequality…

广义相对论与量子宇宙学 · 物理学 2022-02-02 Valeri P. Frolov , Andrei Zelnikov

New Massive Gravity is an alternative theory to General Relativity that is used to describe the gravitational field in a (2+1)-dimensional spacetime. Black hole solutions have been found in this theory, in particular an asymptotically…

广义相对论与量子宇宙学 · 物理学 2017-05-15 Andrés Aceña , Ericson López , Mario Llerena

The metric of a spacetime can be greatly simplified if the spacetime is circular. We prove that in generic effective theories of gravity, the spacetime of a stationary, axisymmetric and asymptotically flat solution must be circular if the…

广义相对论与量子宇宙学 · 物理学 2021-06-22 Yiqi Xie , Jun Zhang , Hector O. Silva , Claudia de Rham , Helvi Witek , Nicolas Yunes

It has recently been shown that the uniqueness theorem for stationary black holes cannot be extended to five dimensions. However, uniqueness is an important assumption of the string theory black hole entropy calculations. This paper…

高能物理 - 理论 · 物理学 2014-11-18 Harvey S. Reall

Shape dynamics is a classical theory of gravity which agrees with general relativity in many important cases, but possesses different gauge symmetries and constraints. Rather than spacetime diffeomorphism invariance, shape dynamics takes…

广义相对论与量子宇宙学 · 物理学 2017-09-27 Gabriel Herczeg

We discuss universal properties of axisymmetric and stationary configurations consisting of a central black hole and surrounding matter in Einstein-Maxwell theory. In particular, we find that certain physical equations and inequalities…

广义相对论与量子宇宙学 · 物理学 2011-04-28 Marcus Ansorg , Jörg Hennig , Carla Cederbaum
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