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Related papers: Multiple Killing Horizons

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In this paper, we show that some five-dimensional rotating black hole solutions of both gauged and ungauged supergravity, with independent rotation parameters and three charges admit separable solutions to the massless Hamilton-Jacobi and…

High Energy Physics - Theory · Physics 2009-11-11 Paul Davis

Recent work has demonstrated an attractor mechanism for extremal rotating black holes subject to the assumption of a near-horizon SO(2,1) symmetry. We prove the existence of this symmetry for any extremal black hole with the same number of…

High Energy Physics - Theory · Physics 2008-11-26 Hari K. Kunduri , James Lucietti , Harvey S. Reall

We analyze asymptotic symmetries on the Killing horizon of the four-dimensional Kerr--Newman black hole. We first derive the asymptotic Killing vectors on the Killing horizon, which describe the asymptotic symmetries, and find that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jun-ichirou Koga

We define the notion of a Killing (super)algebra for a connection on a spinor bundle associated to a generalised spin structure on a pseudo-Riemannian manifold of any signature. We are led naturally to include in the even subspace not only…

Differential Geometry · Mathematics 2025-11-12 Andrew D. K. Beckett

In this paper, we study the non-projectable 2d Ho\v{r}ava gravity coupled with a non-relativistic scalar field, where the coupling is in general non-minimal and of the form $f(\phi)R$, where $f(\phi)$ is an arbitrary function of the scalar…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Bao-Fei Li , Madhurima Bhattacharjee , Anzhong Wang

The gravitational collapse of an infinite cylindrical thin shell of generic matter in an otherwise empty spacetime is considered. We show that geometries admitting two hypersurface orthogonal Killing vectors cannot contain trapped surfaces…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sergio M. C. V. Goncalves

Certain dynamical black hole solutions can be mapped to static spacetimes by conformal metric transformations. This mapping provides a physical link between the conformal Killing horizon of the dynamical black hole and a Killing horizon of…

General Relativity and Quantum Cosmology · Physics 2018-05-02 Alex B. Nielsen , Andrey A. Shoom

A new solution of four-dimensional vacuum General Relativity is presented. It describes the near horizon region of the extreme (maximally spinning) binary black hole system with two identical extreme Kerr black holes held in equilibrium by…

High Energy Physics - Theory · Physics 2019-10-02 Jacob Ciafre , Maria J. Rodriguez

We show that two stationary, asymptotically flat vacuum black holes in 5 dimensions with two commuting axial symmetries are identical if and only if their masses, angular momenta, and their ``rod structures'' coincide. We also show that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefan Hollands , Stoytcho Yazadjiev

Many extensions of General Relativity are based on considering metric and affine structures as independent properties of spacetime. This leads to the possibility of introducing torsion as an independent degree of freedom. In this article we…

Differential Geometry · Mathematics 2019-07-17 Daniela D'Ascanio , Peter Gilkey , Pablo Pisani

We define and examine the notion of a Killing section of a Riemannian Lie algebroid as a natural generalisation of a Killing vector field. We show that the various expression for a vector field to be Killing naturally generalise to the…

Differential Geometry · Mathematics 2018-01-12 Andrew James Bruce

We consider generic static spacetimes with Killing horizons and study properties of curvature tensors in the horizon limit. It is determined that the Weyl, Ricci, Riemann and Einstein tensors are algebraically special and mutually aligned…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. Pravda , O. B. Zaslavskii

We discuss some general features of black holes of five-dimensional supergravity, such as the first law of black hole mechanics. We also discuss some special features of rotating supersymmetric black holes. In particular, we show that the…

High Energy Physics - Theory · Physics 2010-11-19 J. P. Gauntlett , R. C. Myers , P. K. Townsend

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…

General Relativity and Quantum Cosmology · Physics 2009-08-18 Stefan Hollands , Akihiro Ishibashi

We present a systematic study of the geometric structure of non-singular spacetimes describing black holes in Lorentz-violating gravity. We start with a review of the definition of trapping horizons, and the associated notions of trapped…

General Relativity and Quantum Cosmology · Physics 2022-03-09 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

We explore spacetime torsion in a two-dimensional setting, wherein it corresponds to a vector field. Without invoking field equations of a particular gravitational theory, we develop visualization techniques for such torsion fields,…

General Relativity and Quantum Cosmology · Physics 2025-04-09 Jens Boos

We use the recipe of arXiv:1003.2974 to find half-BPS near-horizon geometries in the t$^3$ model of $N=2$, $D=4$ gauged supergravity, and explicitely construct some new examples. Among these are black holes with noncompact horizons, but…

High Energy Physics - Theory · Physics 2021-10-04 Federico Faedo , Silke Klemm , Adriano Viganò

In this paper, we employ the {\bf mimetic-like} field equations coupled with the Lagrange multiplier and %mimetic {\bf potential} to derive non-trivial spherically symmetric black hole (BH) solutions. We divided this study into three cases:…

General Relativity and Quantum Cosmology · Physics 2022-05-18 G. G. L. Nashed , Shin'ichi Nojiri

In a recent paper it was suggested that some multi-black hole solutions in five or more dimensions have horizons that are not smooth. These black hole configurations are solutions to $d$-dimensional Einstein gravity (with no dilaton) and…

High Energy Physics - Theory · Physics 2016-08-24 Dean L. Welch

We consider $n$-dimensional spacetimes which are axisymmetric--but not necessarily stationary (!)--in the sense of having isometry group $U(1)^{n-3}$, and which satisfy the Einstein equations with a non-negative cosmological constant. We…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Stefan Hollands