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We review recent progress in the construction of black holes in three dimensional higher spin gravity theories. Starting from spin-3 gravity and working our way toward the theory of an infinite tower of higher spins coupled to matter, we…

High Energy Physics - Theory · Physics 2015-06-11 Martin Ammon , Michael Gutperle , Per Kraus , Eric Perlmutter

Highly accurate numerical solutions to the problem of Black Holes surrounded by uniformly rotating rings in axially symmetric, stationary spacetimes are presented. The numerical methods developed to handle the problem are discussed in some…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Marcus Ansorg , David Petroff

Black holes represent outstanding astrophysical laboratories to test the strong gravity regime, since alternative theories of gravity may predict black hole solutions whose may differ distinctly from those of General Relativity. When higher…

General Relativity and Quantum Cosmology · Physics 2022-03-03 Jose Luis Blázquez-Salcedo , Burkhard Kleihaus , Jutta Kunz

The set of all metrics that can be placed on a given manifold defines an infinite-dimensional `superspace' that can itself be imbued with the structure of a Riemannian manifold. Geodesic distances between points on Met$(M)$ measure how…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Arthur G Suvorov

Many fundamental issues remain for black hole thermodynamics after almost half a century of its conception. For example, what are the underlying degrees of freedom of a black hole horizon that give rise to said thermodynamical properties?…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Yen Chin Ong

The black hole rigidity theorem asserts that a rotating stationary black hole must be axisymmetric. This theorem holds for General Relativity with suitable matter fields, in four or more dimensions. We show that the theorem can be extended…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Stefan Hollands , Akihiro Ishibashi , Harvey S. Reall

We show that an analytical continuation of the Vuorio solution to three-dimensional topologically massive gravity leads to a two-parameter family of black hole solutions, which are geodesically complete and causally regular within a certain…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Karim Ait Moussa , Gerard Clement , Cedric Leygnac

Exploring the characterization of singular black hole spacetimes, we study the relation between energy density, curvature invariants, and geodesic completeness using a quadratic $f(R)$ gravity theory coupled to an anisotropic fluid. Working…

High Energy Physics - Theory · Physics 2017-04-05 Cecilia Bejarano , Gonzalo J. Olmo , Diego Rubiera-Garcia

Space-time singularities, viz. Big bang, Big crunch and black holes have been shown to follow from the singularity theorems of General relativity. Whether the entropy at such infinite proper-time objects can be other than zero has also been…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Akinbo Ojo

We show via an explicit construction how an infinite tower of higher-curvature corrections generically leads to a resolution of the Schwarzschild singularity in any spacetime dimension $D \ge 5$. The theories we consider have two key…

General Relativity and Quantum Cosmology · Physics 2024-03-20 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar

We generalise uniqueness theorems for non-extremal black holes with three mutually independent Killing vector fields in five-dimensional minimal supergravity in order to account for the existence of non-trivial 2-cycles in the domain of…

High Energy Physics - Theory · Physics 2015-05-22 Jay Armas

In a Randall-Sundrum theory (RS1) 3+1 dimensional black holes and higher dimensional black holes are not the natural continuations of each other. 3+1 dimensional black holes decay into a large number of 4+1 dimensional black holes at a…

High Energy Physics - Theory · Physics 2007-05-23 P. Suranyi , L. C. R. Wijewardhana

Under certain conditions, we give a new way to prove the uniqueness of static black hole in higher dimensional asymptotically flat spacetimes. In the proof, the Penrose inequality plays a key role in higher dimensions as well as four…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Ryosuke Mizuno , Seiju Ohashi , Tetsuya Shiromizu

In this paper, we investigate the topological number of de-Sitter black hole solutions with different charges $(q)$ and rotational $(a)$ parameters. By using generalized free energy and Duan's $\phi$-mapping topological current theory, we…

General Relativity and Quantum Cosmology · Physics 2023-10-17 Yongbin Du , Xiangdong Zhang

We present an overview of recent developments in numerical relativity studies of higher dimensional spacetimes with a focus on time evolutions of black-hole systems. After a brief review of the numerical techniques employed for these…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Ulrich Sperhake

We prove the uniqueness of higher dimensional (dilatonic) charged black holes in static and asymptotically flat spacetimes for arbitrary vector-dilaton coupling constant. An application to the uniqueness of a wide class of black p-branes is…

High Energy Physics - Theory · Physics 2009-10-07 Gary W. Gibbons , Daisuke Ida , Tetsuya Shiromizu

We determine hidden conformal symmetries behind the evolution equations of black hole perturbations in a vector-tensor theory of gravity. Such hidden symmetries are valid everywhere in the exterior region of a spherically symmetric,…

General Relativity and Quantum Cosmology · Physics 2023-12-04 Bill Atkins , Gianmassimo Tasinato

We revisit and generalize a recent result of Cederbaum [C2, C3] concerning the rigidity of the Schwarzschild manifold for spin manifolds. This includes the classical black hole uniqueness theorems [BM, GIS, Hw] as well as the more recent…

Differential Geometry · Mathematics 2021-06-09 Simon Raulot

A new class of vacuum black holes for the most general gravity theory leading to second order field equations in the metric in even dimensions is presented. These space-times are locally AdS in the asymptotic region, and are characterized…

High Energy Physics - Theory · Physics 2015-05-30 Andres Anabalon , Fabrizio Canfora , Alex Giacomini , Julio Oliva

We make use of an internal symmetry of a truncation of the bosonic sector of the superstring and N=4 supergravity theories to write down an analogue of Robinson's identity for the black holes of this theory. This allows us to prove the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Clive G. Wells
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