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We discuss simple vacuum solutions to the Einstein Equations in five dimensional space-times compactified in two different ways. In such spaces, one black hole phase and more then one black string phase may exist. Several old metrics are…

High Energy Physics - Theory · Physics 2009-11-11 Mihai Bondarescu

The Siklos class of solutions of Einstein's field equations is investigated by analytical methods. By studying the behaviour of free particles we reach the conclusion that the space-times represent exact gravitational waves propagating in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Podolsky

In the model of de Sitter gauge theory of gravity, the empty homogenous and isotropic spacetimes with constant curvature scalar and nonvanishing homogenous and isotropic torsion must have de Sitter metrics. The static de Sitter spacetime…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Chao-Guang Huang , Meng-Sen Ma

We present exact non-singular bounce solutions of general relativity in the presence of a positive cosmological constant and an electromagnetic field, without any exotic matter. The solutions are distinguished by being spatially…

High Energy Physics - Theory · Physics 2019-10-02 Andres Anabalon , Sebastian F. Bramberger , Jean-Luc Lehners

Two new exact analytical solutions of the euclidean Einstein equations for a minimal massless scalar field and negative cosmological constant have been obtained. These solutions are given in terms of Jacobian elliptic or circular functions,…

General Relativity and Quantum Cosmology · Physics 2016-08-14 P. F. González-Díaz

The cosmological constant problem is studied in a two component cosmological model. The universe contains a cosmological constant of an arbitrary size and sign and an additional component with an inhomogeneous equation of state. It is shown…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Hrvoje Stefancic

The existence of a simple spherically symmetric and static solution of the Einstein equations in the presence of a cosmological constant vanishing outside a definite value of the radial distance is investigated. A particular succession of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alejandro Cabo , Alejandro Garcia-Chung , Alejandro Rosabal

We obtain an approximate global stationary and axisymmetric solution of Einstein's equations which can be thought as a simple two layers star model: a self-gravitating ball built up by two layers of perfect fluid having different linear…

General Relativity and Quantum Cosmology · Physics 2018-06-12 Alfred Molina , Eduardo Ruiz

Ricci-flat solutions to Einstein's equations in four dimensions are obtained as the flat limit of Einstein spacetimes with negative cosmological constant. In the limiting process, the anti-de Sitter energy--momentum tensor is expanded in…

High Energy Physics - Theory · Physics 2023-12-19 Andrea Campoleoni , Arnaud Delfante , Simon Pekar , P. Marios Petropoulos , David Rivera-Betancour , Matthieu Vilatte

We study solutions of Einstein gravity coupled to a positive cosmological constant and matter, which are asymptotically de Sitter and homogeneous. Regarded as perturbations of de Sitter space, a theorem of Gao and Wald implies that…

High Energy Physics - Theory · Physics 2010-02-03 Frederic Leblond , Donald Marolf , Robert C. Myers

We investigate the physical properties of equilibrium sequences of non-self-gravitating surfaces that characterize thick disks around a rotating deformed compact object described by a stationary generalization of the static q-metric. The…

General Relativity and Quantum Cosmology · Physics 2025-02-14 Shokoufe Faraji , Audrey Trova , Hernando Quevedo

Charged, rotating black hole solutions of Einstein's gravitational equations are investigated in the presence of a cosmological constant. A pair of wave equations governing the electromagnetic and gravitational perturbations are derived.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zoltán Perjés

A class of exact solutions of the Einstein-Maxwell equations is presented which describes an accelerating and rotating charged black hole in an asymptotically de Sitter or anti-de Sitter universe. The metric is presented in a new and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Podolsky , J. B. Griffiths

We show that if the rotation set of a homeomorphism of the torus is stable under small perturbations of the dynamics, then it is a convex polygon with rational vertices. We also show that such homeomorphisms are $C^0$-generic and have…

Dynamical Systems · Mathematics 2017-03-08 Pierre-Antoine Guihéneuf , Andres Koropecki

All non-twisting Petrov-type N solutions of vacuum Einstein field equations with cosmological constant Lambda are summarized. They are shown to belong either to the non-expanding Kundt class or to the expanding Robinson-Trautman class.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Bicak , J. Podolsky

The imposition of a constraint between the metric tensor elements in both three- and four-dimensional, rotating AdS space-times is shown to reduce the number of independent equations of motion and to result in new families of solutions to…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Benjamin Harms

The stability under radial and vertical perturbations of circular orbits associated to particles orbiting a spherically symmetric center of attraction is study in the context of the n-dimensional: Newtonian theory of gravitation, Einstein's…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Valeria M. Rosa , Patricio S. Letelier

In hep-th/0506040 we discussed a classically constrained model of gravity. This theory contains known solutions of General Relativity (GR), and admits solutions that are absent in GR. Here we study cosmological implications of some of these…

High Energy Physics - Theory · Physics 2008-11-26 Gregory Gabadadze , Yanwen Shang

A multidimensional cosmological model with space-time consisting of n (n>1) Einstein spaces M_i is investigated in the presence of a cosmological constant Lambda and a homogeneous minimally coupled free scalar field. Generalized de Sitter…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Zhuk

A global solution of the Einstein equations is given, consisting of a perfect fluid interior and a vacuum exterior. The rigidly rotating and incompressible perfect fluid is matched along the hypersurface of vanishing pressure with the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 László Á. Gergely , Zoltán Perjés , Gyula Fodor
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