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This article reviews black hole solutions of higher-dimensional General Relativity. The focus is on stationary vacuum solutions and recent work on instabilities of such solutions.

广义相对论与量子宇宙学 · 物理学 2015-06-11 Harvey S. Reall

We review the theory of stationary black hole solutions of vacuum Einstein equations.

广义相对论与量子宇宙学 · 物理学 2023-07-25 Robert Beig , Piotr T. Chruściel

In these notes we discuss various methods relevant to the numerical construction of stationary black hole solutions in General Relativity with negative cosmological constant. We focus on solutions which explicitly break translational…

高能物理 - 理论 · 物理学 2017-12-14 Tomas Andrade

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 consider a class of Einstein-Maxwell-dilaton theories in general dimensions and construct both static and dynamic charged black holes. We adopt the reverse engineering procedure and make a specific ansatz for the scalar field and then…

高能物理 - 理论 · 物理学 2020-01-08 Hyat Huang , Zhong-Ying Fan , H. Lü

We prove the uniqueness theorem for asymptotically flat static vacuum black hole solutions in higher dimensional space-times. We also construct infinitely many non-asymptotically flat regular static black holes on the same spacetime…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Gary W. Gibbons , Daisuke Ida , Tetsuya Shiromizu

In this work we address a way to capture scalar field solutions on static spacetimes by using BPS formalism and relaxing the general covariance condition. We focus on configurations where the background geometry describes topological black…

高能物理 - 理论 · 物理学 2023-02-06 D. C. Moreira , F. A. Brito , D. Bazeia

A four-dimensional static black hole solution of Einstein equation conformally coupled to a massive and self interacting scalar field is obtained. A nontrivial scalar solution proposes a weak scalar hair. A dressed black hole shows a trace…

广义相对论与量子宇宙学 · 物理学 2008-05-30 P. I. Kuriakose , V. C. Kuriakose

We provide a geometric framework for the construction of non-vacuum black holes whose metrics are stationary and axisymmetric. Under suitable assumptions we show that the Einstein equations reduce to an Einstein-harmonic map type system and…

广义相对论与量子宇宙学 · 物理学 2015-10-28 Otis Chodosh , Yakov Shlapentokh-Rothman

The spectrum of known black-hole solutions to the stationary Einstein equations has been steadily increasing, sometimes in unexpected ways. In particular, it has turned out that not all black-hole-equilibrium configurations are…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Piotr T. Chruściel , João Lopes Costa , Markus Heusler

A relativistic framework for the description of bound states consisting of a large number of quantum constituents is presented, and applied to black-hole interiors. At the parton level, the constituent distribution, number and energy…

高能物理 - 理论 · 物理学 2015-10-27 Stefan Hofmann , Tehseen Rug

We describe the first convergent numerical method to determine static black hole solutions (with S^3 horizon) in 5d compactified spacetime. We obtain a family of solutions parametrized by the ratio of the black hole size and the size of the…

高能物理 - 理论 · 物理学 2009-11-10 Evgeny Sorkin , Barak Kol , Tsvi Piran

We study static black hole solutions in scalar tensor gravity. We present exact solutions in hiperextended models with a quadratic scalar potential.

广义相对论与量子宇宙学 · 物理学 2016-08-31 Caroline Santos

This paper is concerned with several not-quantum aspects of black holes, with emphasis on theoretical and mathematical issues related to numerical modeling of black hole space-times. Part of the material has a review character, but some new…

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

This paper presents a quasi-local method of studying the physics of dynamical black holes in numerical simulations. This is done within the dynamical horizon framework, which extends the earlier work on isolated horizons to time-dependent…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Erik Schnetter , Badri Krishnan , Florian Beyer

We are entering an era where the numerical construction of generic spacetimes is becoming a reality. The use of computer simulations, in principle, allows us to solve Einstein equations in their full generality and unravel important…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Luis Lehner

The purpose of this work is to review the status about stationary solutions of the axially symmetric Einstein-Vlasov system with a focus on open problems of both analytical and numerical nature. For the latter we emphasize that the code…

广义相对论与量子宇宙学 · 物理学 2023-10-03 E. Ames , H. Andréasson

Recent results of arXiv:1907.08788 on universal black holes in $d$ dimensions are summarized. These are static metrics with an isotropy-irreducible homogeneous base space which can be consistently employed to construct solutions to…

广义相对论与量子宇宙学 · 物理学 2020-07-02 Sigbjørn Hervik , Marcello Ortaggio

We construct time-dependent multi-centre solutions to three-dimensional general relativity with zero or negative cosmological constant. These solutions correspond to dynamical systems of freely falling black holes and conical singularities,…

广义相对论与量子宇宙学 · 物理学 2009-12-30 Gérard Clément

The wide applications of higher dimensional gravity and gauge/gravity duality have fuelled the search for new stationary solutions of the Einstein equation (possibly coupled to matter). In this topical review, we explain the mathematical…

高能物理 - 理论 · 物理学 2016-06-22 Oscar J. C. Dias , Jorge E. Santos , Benson Way
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