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In this article we further develop the solution theory for the Einstein constraint equations on an n-dimensional, asymptotically Euclidean manifold M with interior boundary S. Building on recent results for both the asymptotically Euclidean…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Michael Holst , Caleb Meier

We present new classes of exact solutions with noncommutative symmetries constructed in vacuum Einstein gravity (in general, with nonzero cosmological constant), five dimensional (5D) gravity and (anti) de Sitter gauge gravity. Such…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Sergiu I. Vacaru

We study the polar quasinormal modes of spontaneously scalarized black holes in Einstein-Gauss-Bonnet theory. In previous works we showed that a set of nodeless solutions of the fundamental branch of the model studied in [1] are stable…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Jose Luis Blázquez-Salcedo , Daniela D. Doneva , Sarah Kahlen , Jutta Kunz , Petya Nedkova , Stoytcho S. Yazadjiev

Here we have developed the general parametrization for spherically symmetric and asymptotically flat black-hole spacetimes in an arbitrary metric theory of gravity. The parametrization is similar in spirit to the parametrized post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Roman A. Konoplya , Thomas D. Pappas , Zdenek Stuchlík

We initiate a systematic scan of the landscape of black holes in any spacetime dimension using the recently proposed blackfold effective worldvolume theory. We focus primarily on asymptotically flat stationary vacuum solutions, where we…

High Energy Physics - Theory · Physics 2015-03-13 Roberto Emparan , Troels Harmark , Vasilis Niarchos , Niels A. Obers

In this work we have obtained the set of new exact solutions of the Einstein equations that generalize the known Lemaitre-Tolman-Bondi solution for the certain case of nonzero pressure under zero spatial curvature. These solutions are…

General Relativity and Quantum Cosmology · Physics 2016-11-29 E. Kopteva , P. Jaluvkova , Z. Stuchlik

We investigate the gravitational perturbations of the Schwarzschild black hole in the nonlocal gravity model recently proposed by Deser and Woodard (DW-II). The analysis is performed in the localized version in which the nonlocal…

General Relativity and Quantum Cosmology · Physics 2021-03-19 Che-Yu Chen , Sohyun Park

In this Letter we derive the gravity field equations by varying the action for an ultraviolet complete quantum gravity. Then we consider the case of a static source term and we determine an exact black hole solution. As a result we find a…

General Relativity and Quantum Cosmology · Physics 2011-02-22 Leonardo Modesto , John W. Moffat , Piero Nicolini

A family of spherically symmetric, static and self--dual Lorentzian wormholes is obtained in n--dimensional Einstein gravity. This class of solutions includes the n--dimensional versions of the Schwarzschild black hole and the…

High Energy Physics - Theory · Physics 2009-11-07 M. Cataldo , P. Salgado , P. Minning

This is the first of a series of papers describing a numerical implementation of the conformally rescaled Einstein equation, an implementation designed to calculate asymptotically flat spacetimes, especially spacetimes containing black…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Peter Huebner

We present exact solutions of the Einstein $SU(2)$ non-linear sigma model in $3+1$ spacetime dimensions, describing bumpy black holes and black branes. Using an Ansatz for superfluid pion multi-vortices, the matter sector reduces to a…

High Energy Physics - Theory · Physics 2026-04-17 Fabrizio Canfora , Andrés Gomberoff , Carla Henríquez-Baez , Aldo Vera

An almost Einstein manifold satisfies equations which are a slight weakening of the Einstein equations; Einstein metrics, Poincare-Einstein metrics, and compactifications of certain Ricci-flat asymptotically locally Euclidean structures are…

Differential Geometry · Mathematics 2008-03-26 A. Rod Gover

We argue that the topological structure of Abelian gauge theories, such as Maxwell electrodynamics, in the background of a Euclidean Schwarzschild black hole manifests itself through an asymmetry in Hawking radiation. In particular, the…

High Energy Physics - Theory · Physics 2026-04-06 Archil Kobakhidze , Elden Loomes

We derive exact magnetically charged, static and spherically symmetric black hole solutions of the four-dimensional Einstein-Born-Infeld-dilaton gravity. These solutions are neither asymptotically flat nor (anti)-de Sitter. The properties…

High Energy Physics - Theory · Physics 2009-11-11 Stoytcho S. Yazadjiev

We study isometric embeddings of non-extremal Reissner-Nordstr\"om metric describing a charged black hole. We obtain three new embeddings in the flat ambient space with minimal possible dimension. These embeddings are global, i.e.…

General Relativity and Quantum Cosmology · Physics 2018-12-27 S. A. Paston , A. A. Sheykin

The violation of Lorentz invariance (LI) in gravitational theories, which allows superluminal propagations, dramatically alters the causal structure of the spacetime and modifies the notion of black holes (BHs). Instead of metric horizons,…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Chao Zhang , Anzhong Wang , Tao Zhu

We study linear gravitational perturbations of Schwarzschild spacetime by solving numerically Regge-Wheeler-Zerilli equations in time domain using hyperboloidal surfaces and a compactifying radial coordinate. We stress the importance of…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Anil Zenginoglu

The anholonomic frame method is generalized for non--Riemannian gravity models defined by string corrections to the general relativity and metric-affine gravity (MAG) theories. Such spacetime configurations are modeled as metric-affine…

High Energy Physics - Theory · Physics 2007-05-23 Sergiu I. Vacaru , Evghenii Gaburov , Denis Gontsa

Contents: 1) Introduction and a few excursions [A word on the role of explicit solutions in other parts of physics and astrophysics. Einstein's field equations. "Just so" notes on the simplest solutions: The Minkowski, de Sitter and anti-de…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jiri Bicak

We derive static spherically symmetric regular black holes as vacuum solutions to purely gravitational theories in four dimensions. To that end, we construct four-dimensional non-polynomial gravities starting from subclasses of…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Johanna Borissova , Raúl Carballo-Rubio
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