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As a consequence of Birkhoff's theorem, the exterior gravitational field of a spherically symmetric star or black hole is always given by the Schwarzschild metric. In contrast, the exterior gravitational field of a rotating (axisymmetric)…

General Relativity and Quantum Cosmology · Physics 2022-09-22 R. Meinel

A straightforward generalization of the celebrated uniqueness theorem to dimensions greater than four was recently found to fail in two pure gravity cases - the 5d rotating black ring and the black string on R^{3,1} * S^1. Two amendments…

High Energy Physics - Theory · Physics 2007-05-23 Barak Kol

Cosmic strings, as topological spacetime defects, show striking resemblance to defects in solid continua: distortions, which can be classified into disclinations and dislocations, are line-like defects characterized by a delta…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Roland A. Puntigam , Harald H. Soleng

We have shown that higher dimensional Reissner-Nordstr\"om-de Sitter black holes are gravitationally unstable for large values of the electric charge and cosmological constant in $D \geq 7$ space-time dimensions. We have found the shape of…

High Energy Physics - Theory · Physics 2009-10-29 R. A. Konoplya , A. Zhidenko

We study the classical solutions of the Einstein-Yang-Mills model in five dimensions in the presence of a cosmological constant $\Lambda$. Using a spherically symmetric ansatz and assuming that the fields do not depend on the extra…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Y. Brihaye , F. Bakkali Taheri

It is widely believed that the curvature singularities are an artifact of general relativity and may not exist in the Universe, and likely to be defined by the quantum gravity. In the absence of successful quantum gravity, significant…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Fazlay Ahmed , Dharm Veer Singh , Sushant G Ghosh

Regular black holes, nonsingular solutions to gravitational collapse with quantum corrections, offer a compelling alternative to classical black holes with curvature singularities. In this work, we investigate how the presence of skewed…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Chen Lan , Ying-Lei Tian , Hao Yang , Zhen-Xiao Zhang , Yan-Gang Miao

Black rings are the black objects found in $D$ spacetime dimensional gravity when $D \geq 5$. These have event horizon topology $S^{D-3}\times S^1$. In this work the solutions of the large $D$ membrane paradigm dual to stationary black…

High Energy Physics - Theory · Physics 2021-02-24 Mangesh Mandlik

The behaviour of stationary gravitational perturbations is studied for generalised static black holes in spacetimes of greater than three dimensions, using the formulation developed by the present author and Ishibashi. For the case in which…

High Energy Physics - Theory · Physics 2009-11-10 Hideo Kodama

We present detailed physics analyses of two different 4+1-dimensional asymptotically flat vacuum black hole solutions with spin in two independent planes: the doubly spinning black ring and the bicycling black ring system ("bi-rings"). The…

High Energy Physics - Theory · Physics 2008-11-26 Henriette Elvang , Maria J. Rodriguez

The inverse problem for electromagnetic field produced by arbitrary altered charge distribution in dipole approximation is solved. The charge distribution is represented by its dipole moment. It is assumed that the spectral properties of…

Classical Physics · Physics 2015-05-06 V. Epp , J. G. Janz

We investigate axial gravitational perturbations and quasinormal modes of regular black holes supported by an Einasto distribution of matter. Halo matter not only removes the central singularity but also modifies the quasinormal spectrum.…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Bekir Can Lütfüoğlu , Javlon Rayimbaev , Sardor Murodov , Mardon Abdullaev , Munisbek Akhmedov

Various higher-dimensional black holes have been shown to be unstable by studying linearized gravitational perturbations. A simpler method for demonstrating instability is to find initial data that describes a small perturbation of the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Pau Figueras , Keiju Murata , Harvey S. Reall

We present three-dimensional, {\it non-axisymmetric} distorted black hole initial data which generalizes the axisymmetric, distorted, non-rotating [Bernstein93a] and rotating [Brandt94a] single black hole data developed by Bernstein,…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Steven Brandt , Karen Camarda , Edward Seidel , Ryoji Takahashi

In this article charged black rings and black saturns are constructed in Einstein-Maxwell-dilaton theory in five dimensions. The neutral black ring and black saturn solutions are embedded in six dimensions and boosted with respect to the…

General Relativity and Quantum Cosmology · Physics 2014-09-16 Saskia Grunau

We study black hole linear perturbation theory in a four-dimensional Schwarzschild (anti) de Sitter background. When dealing with a positive cosmological constant, the corresponding spectral problem is solved systematically via the…

High Energy Physics - Theory · Physics 2023-11-17 Gleb Aminov , Paolo Arnaudo , Giulio Bonelli , Alba Grassi , Alessandro Tanzini

Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered. Their properties…

General Relativity and Quantum Cosmology · Physics 2015-06-25 U. Bleyer , K. A. Bronnikov , S. B. Fadeev , V. N. Melnikov

Using the inverse scattering method we construct a six-parameter family of exact, stationary, asymptotically flat solutions of the 4+1 dimensional vacuum Einstein equations, with U(1)^2 rotational symmetry. It describes the superposition of…

High Energy Physics - Theory · Physics 2009-12-07 Carlos A. R. Herdeiro , Carmen Rebelo , Miguel Zilhao , Miguel S. Costa

Using G2(2) dualities we construct the most general black string solution of minimal five-dimensional ungauged supergravity. The black string has five independent parameters, namely, the magnetic one-brane charge, smeared electric…

High Energy Physics - Theory · Physics 2010-11-30 Geoffrey Compère , Sophie de Buyl , Sean Stotyn , Amitabh Virmani

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