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We present the first results of a self-consistent solution of the semiclassical Einstein field equations corresponding to a Lorentzian wormhole coupled to a quantum scalar field. The specific solution presented here represents a wormhole…

General Relativity and Quantum Cosmology · Physics 2009-10-30 David Hochberg , Arkadiy Popov , Sergey V. Sushkov

In this paper, we are going to review the gravitating electromagnetic field in the 1+3 formalism on a general hyperbolic space-time manifold. We also discuss the recent results on the existence of the local field line solutions of the…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Ion V. Vancea

A new class of solutions which yields an $(n+1)$-dimensional spacetime with a longitudinal nonlinear magnetic field is introduced. These spacetimes have no curvature singularity and no horizon, and the magnetic field is non singular in the…

High Energy Physics - Theory · Physics 2009-08-05 M. H. Dehghani , S. H. Hendi

We obtain a family of regular static, spherically symmetric solutions in Einstein--Cartan theory with an electromagnetic field and a nonminimally coupled scalar field with the correct sign of kinetic energy density. At different values of…

General Relativity and Quantum Cosmology · Physics 2016-12-07 K. A. Bronnikov , A. M. Galiakhmetov

Using a new ansatz for solving the Einstein equations with a scalar field with the sign of the kinetic term inverted, I find a series of formulae to derive axial symmetric stationary exact solutions of the Phantom scalar field in general…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Tonatiuh Matos

We are interested in the global dynamics of a massive scalar field evolving under its own gravitational field and, in this paper, we study spherically symmetric solutions to Einstein's field equations coupled with a Klein-Gordon equation…

General Relativity and Quantum Cosmology · Physics 2022-12-29 Philippe G. LeFloch , Filipe C. Mena , The-Cang Nguyen

We consider the Einstein-Gauss-Bonnet gravity with a negative cosmological constant together with a source given by a scalar field nonminimally coupled in arbitrary dimension D. For a certain election of the cosmological and Gauss-Bonnet…

High Energy Physics - Theory · Physics 2013-11-20 Moises Bravo Gaete , Mokhtar Hassaine

We show that there exist solutions to the semi-classical gravity equations in de Sitter spacetime sourced by the renormalised stress-energy tensor of a free Klein-Gordon field. For the massless scalar, solutions exist for every possible…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Benito A. Juárez-Aubry

We construct exact, regular and topologically non-trivial\ configurations of the coupled Einstein-nonlinear sigma model in (3+1) dimensions. The ansatz for the nonlinear $SU(2)$ field is regular everywhere and circumvents Derrick's theorem…

High Energy Physics - Theory · Physics 2017-09-13 Fabrizio Canfora , Nikolaos Dimakis , Andronikos Paliathanasis

We consider 5-dimensional Einstein-dilaton gravity with antisymmetric forms. Assuming staticity and a restriction on the dilaton coupling parameters, we derive 4-dimensional sigma-model with a target space $SL(2,R)/SO(1,1)\times…

High Energy Physics - Theory · Physics 2008-11-26 Stoytcho S. Yazadjiev

The field equations for Einstein-Maxwell-dilaton gravity in $D$ dimensions are reduced to an effective one-dimensional system under the influence of exponential potentials. Various cases where exact solutions can be found are explored. With…

General Relativity and Quantum Cosmology · Physics 2017-05-10 Yen-Kheng Lim

We prove definitive results on the global stability of the flat space among solutions of the Einstein-Klein-Gordon system. Our main theorems in this monograph include: (1) A proof of global regularity (in wave coordinates) of solutions of…

Analysis of PDEs · Mathematics 2020-02-26 Alexandru D. Ionescu , Benoit Pausader

Using the ansatz of Matos and N\'{u}\~{n}ez, the present article proposes an algorithm for generating several classes, not all independent, of asymptotically flat rotating wormhole solutions in the Brans-Dicke Theory. The algorithm allows…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kamal K. Nandi , Yuan-Zhong Zhang

In the homogeneous and isotropic Friedmann-Robertson-Walker minisuperspace model, it is known that there are no Euclidean wormhole solutions in the pure gravity system. Here it is demonstrated explicitly that in Taub cosmology, which is one…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Hongsu Kim

We present a general solution of the coupled Einstein-Maxwell field equations (without the source charges and currents) in three spacetime dimensions. We also admit any value of the cosmological constant. The whole family of such…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Jiri Podolsky , Matus Papajcik

We derive an exact solution to the Einstein's equations with a stress-energy tensor corresponding to an opposite-sign scalar field, and show that such a solution describes the internal region of a rotating wormhole. We also derive an static…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Tonatiuh Matos , Dario Nunez

A particular type of coupling of the dilaton field to the metric is shown to admit a simple geometric interpretation in terms of a volume element density independent from the metric. For dimension n = 4 two families of either magnetically…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Wolfgang Graf

We present a self-gravitating, analytic and globally regular Skyrmion solution of the Einstein-Skyrme system with winding number w = 1, in presence of a cosmological constant. The static spacetime metric is the direct product RxS3 and the…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Eloy Ayon-Beato , Fabrizio Canfora , Jorge Zanelli

Static spherically symmetric uncoupled scalar space-times have no event horizon and a divergent Kretschmann singularity at the origin of the coordinates. The singularity is always present so that non-static solutions have been sought to see…

General Relativity and Quantum Cosmology · Physics 2011-04-04 Mark D. Roberts

Much attention has been recently devoted to modified theories of gravity in the attempt to efficiently describe both early inflation and late-time acceleration of our universe without referring to the cosmological constant or other ad hoc…

General Relativity and Quantum Cosmology · Physics 2015-06-16 R. Di Criscienzo , R. Myrzakulov , L. Sebastiani