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The mode stability of the Kerr black hole in four dimensions was demonstrated by Whiting in 1989, by separating the Teukolsky equation that describes gravitational perturbations and then transforming the radial and angular equations in such…

General Relativity and Quantum Cosmology · Physics 2022-11-23 M. Cvetic , C. N. Pope , B. F. Whiting , Haoyu Zhang

Horizonless spacetimes describing highly compact exotic objects with reflecting (instead of absorbing) surfaces have recently attracted much attention from physicists and mathematicians as possible quantum-gravity alternatives to canonical…

High Energy Physics - Theory · Physics 2017-11-22 Shahar Hod

Massless black holes can be understood as bound states of a (positive mass) extreme a=\sqrt{3} black hole and a singular object with opposite (i.e. negative) mass with vanishing ADM (total) mass but non-vanishing gravitational field.…

High Energy Physics - Theory · Physics 2016-08-24 Tomas Ortin

We construct time-dependent charged black string solutions in five-dimensional Einstein-Maxwell theory. In the far region, the spacetime approaches a five-dimensional Kasner universe with a expanding three-dimensional space and a shrinking…

High Energy Physics - Theory · Physics 2016-01-27 Hideki Ishihara , Masashi Kimura , Ken Matsuno

We construct balanced black ring solutions in $d\geq 6$ spacetime dimensions, by solving the Einstein field equations numerically with suitable boundary conditions. The black ring solutions have a regular event horizon with $S^1\times…

High Energy Physics - Theory · Physics 2015-06-05 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

We consider the stability of the toroidal AdS-Schwarzshild black holes as solutions of the Einstein--Klein-Gordon system, with Dirichlet or Neumann boundary conditions for the scalar field. Restricting to perturbations that respect the…

General Relativity and Quantum Cosmology · Physics 2018-11-13 Jake Dunn , Claude Warnick

We investigate the geodesic motions of a massive particle and light ray in the hyperplane orthogonal to the symmetry axis in the 5-dimensional hypercylindrical spacetime. The class of the solutions depends on one constant a which is the…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Bogeun Gwak , Bum-Hoon Lee , Wonwoo Lee

We construct stationary, rotating black binaries in general relativity with a positive cosmological constant. We consider identical black holes with either aligned or anti-aligned spins. Both cases have less entropy than the corresponding…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Oscar J. C. Dias , Jorge E. Santos , Benson Way

We review recent results on the existence of static black holes without spatial isometries in four spacetime dimensions and propose a general framework for their study. These configurations are regular on and outside a horizon of spherical…

General Relativity and Quantum Cosmology · Physics 2020-06-08 Carlos Herdeiro , Eugen Radu

We explore the classical stability of topological black holes in d-dimensional anti-de Sitter spacetime, where the horizon is an Einstein manifold of negative curvature. According to the gauge invariant formalism of Ishibashi and Kodama,…

High Energy Physics - Theory · Physics 2008-11-26 Danny Birmingham , Susan Mokhtari

Stationary circularly symmetric solutions of General Relativity with negative cosmological constant coupled to the Maxwell field are analyzed in three spacetime dimensions. Taking into account that the fall-off of the fields is slower than…

High Energy Physics - Theory · Physics 2015-11-04 Alfredo Perez , Miguel Riquelme , David Tempo , Ricardo Troncoso

We investigate the motion of neutral test particles in the gravitational field of a mass $M$ with charge $Q$ described by the Reissner-Nordstr\"om (RN) spacetime. We focus on the study of circular stable and unstable orbits around…

High Energy Astrophysical Phenomena · Physics 2011-02-02 D. Pugliese , H. Quevedo , R. Ruffini

We find a family of exact solutions of Einstein equations describing the field of a static axisymmetric thin disk living in six-dimensional space-time. In particular, we study the disks constructed (by cutting out the central part of the…

Astrophysics · Physics 2007-08-27 Carlos H. Coimbra-Araujo , Patricio S. Letelier

We present a solution of the vacuum Einstein's equations in five dimensions corresponding to a black ring with horizon topology S^1 x S^2 and rotation in the azimuthal direction of the S^2. This solution has a regular horizon up to a…

High Energy Physics - Theory · Physics 2009-11-11 Pau Figueras

We test the cosmic censorship conjecture for a class of polarized AdS black branes (holes) in the Einstein-Maxwell theory at large number of dimensions $D$. We first derive a new set of effective equations describing the dynamics of the…

High Energy Physics - Theory · Physics 2020-05-20 Norihiro Iizuka , Akihiro Ishibashi , Kengo Maeda

Convergence to stationary solutions in fully nonlinear parabolic systems with general nonlinear boundary conditions is shown in situations where the set of stationary solutions creates a $C^2$-manifold of finite dimension which is normally…

Analysis of PDEs · Mathematics 2014-09-10 Helmut Abels , Nasrin Arab , Harald Garcke

It is shown that gravitational theory allows stable equilibrium configurations of the degenerated Fermi gas, whose masses are many times as large as the Sun. They have no events horizon at the Schwarzchild radius from the center. They are…

Astrophysics · Physics 2008-02-03 L. V. Verozub

We find quasinormal spectrum of the massive scalar field in the background of the Kerr black holes. We show that all found modes are damped under the quasinormal modes boundary conditions when $\mu M$ is not large, thereby implying…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. A. Konoplya , A. Zhidenko

Using a recently developed generalized Weyl formalism, we construct an asymptotically flat, static vacuum Einstein solution that describes a superposition of multiple five-dimensional Schwarzschild black holes. The spacetime exhibits a…

High Energy Physics - Theory · Physics 2009-11-10 H. S. Tan , Edward Teo

Global stability of the spherically symmetric nonisentropic compressible Euler equations with positive density around global-in-time background affine solutions is shown in the presence of free vacuum boundaries. Vacuum is achieved despite…

Analysis of PDEs · Mathematics 2021-06-03 Calum Rickard