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We construct explicit examples of globally regular static, spherically symmetric solutions of general relativity with a phantom scalar field as the source of gravity, describing traversable wormholes with flat asymptotic regions on both…

General Relativity and Quantum Cosmology · Physics 2017-09-19 K. A. Bronnikov , P. A. Korolyov

We construct explicit examples of globally regular static, spherically symmetric solutions in general relativity with scalar and electromagnetic fields describing traversable wormholes with flat and AdS asymptotics and regular black holes,…

General Relativity and Quantum Cosmology · Physics 2015-09-07 K. A. Bronnikov , P. A. Korolyov

We construct explicit examples of globally regular static, spherically symmetric solutions in general relativity with scalar and electromagnetic fields, describing traversable wormholes with flat and AdS asymptotics and regular black holes,…

General Relativity and Quantum Cosmology · Physics 2016-03-30 S. V. Bolokhov , K. A. Bronnikov , P. A. Korolyov , M. V. Skvortsova

We construct exact nonstatic nonhomogeneous spherically symmetric solutions in the theory of gravity with a scalar field possessing the exponential potential. The solution of particular interest corresponds to the scalar field with negative…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergey V. Sushkov , Yuan-Zhong Zhang

We test the stability of various wormholes and black holes supported by a scalar field with a negative kinetic term. The general axial perturbations and the monopole type of polar perturbations are considered in the linear approximation.…

General Relativity and Quantum Cosmology · Physics 2013-07-15 K. A. Bronnikov , R. A. Konoplya , A. Zhidenko

We study the stability of static, spherically symmetric solutions to the Einstein equations with a scalar field as the source. We describe a general methodology of studying small radial perturbations of scalar-vacuum configurations with…

General Relativity and Quantum Cosmology · Physics 2015-05-30 K. A. Bronnikov , J. C. Fabris , A. Zhidenko

We construct examples of static, spherically symmetric wormhole solutions in general relativity with a minimally coupled scalar field $\phi$ whose kinetic energy is negative in a restricted region of space near the throat (of arbitrary…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Kirill A. Bronnikov , Sergey V. Sushkov

The aim of this paper is to report on the existence of a wide variety of exact solutions, ranging from black holes to wormholes, when a conformally coupled scalar field with a self interacting potential containing a linear, a cubic and a…

High Energy Physics - Theory · Physics 2015-06-03 Andres Anabalon , Adolfo Cisterna

Some recent papers have claimed the existence of static, spherically symmetric wormhole solutions to gravitational field equations in the absence of ghost (or phantom) degrees of freedom. We show that in some such cases the solutions in…

General Relativity and Quantum Cosmology · Physics 2014-11-21 K. A. Bronnikov , M. V. Skvortsova , A. A. Starobinsky

It is proved that no wormholes can be formed in viable scalar-tensor models of dark energy admitting its phantom-like ($w < -1$) behaviour in cosmology, even in the presence of electric or magnetic fields, if the non-minimal coupling…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kirill A. Bronnikov , Alexei A. Starobinsky

We consider static spherically symmetric solutions of a general scalar field theory with non-standard kinetic energy coupled to gravity with a view to explain dark matter halos as a coherent state of the scalar field. Consistent solutions…

High Energy Physics - Theory · Physics 2008-06-04 Ratindranath Akhoury , Christopher S. Gauthier

We enumerate all possible types of spacetime causal structures that can appear in static, spherically symmetric configurations of a self-gravitating, real, nonlinear, minimally coupled scalar field \phi in general relativity, with an…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kirill A. Bronnikov

We construct explicit examples of globally regular static, spherically symmetric solutions in general relativity with scalar and electromagnetic fields which describe traversable wormholes (with flat and AdS asymptotics) and regular black…

General Relativity and Quantum Cosmology · Physics 2015-03-20 S. V. Bolokhov , K. A. Bronnikov , M. V. Skvortsova

I prove that general relativity admits no asymptotically well-behaved static spherically symmetric traversable wormholes supported by classical scalar fields and nonexotic matter. The theorem holds for all values of the scalar field…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Luke M. Butcher

We examine the linear stability of static, spherically symmetric wormhole solutions of Einstein's field equations coupled to a massless ghost scalar field. These solutions are parametrized by the areal radius of their throat and the product…

General Relativity and Quantum Cosmology · Physics 2008-12-25 J. A. Gonzalez , F. S. Guzman , O. Sarbach

We prove some theorems characterizing the global properties of static, spherically symmetric configurations of a self-gravitating real scalar field in general relativity (GR) in various dimensions, with an arbitrary potential $V$, not…

General Relativity and Quantum Cosmology · Physics 2010-11-19 K. A. Bronnikov , G. N. Shikin

We study compact configurations with a nontrivial wormholelike spacetime topology supported by a complex ghost scalar field with a quartic self-interaction. For this case, we obtain regular asymptotically flat equilibrium solutions…

General Relativity and Quantum Cosmology · Physics 2018-01-09 Vladimir Dzhunushaliev , Vladimir Folomeev , Burkhard Kleihaus , Jutta Kunz

Some novel regular spacetimes are considered that show a non-stationary wormhole structure. A Simpson-Visser-like procedure is applied to reconstruct these regular spacetimes, free of time-like and space-like singularities. Such a procedure…

General Relativity and Quantum Cosmology · Physics 2025-08-13 G. Alencar , R. Dárlla , Shin'ichi Nojiri , Sergei D. Odintsov , Diego Sáez-Chillón Gómez

In previous work, we analyzed the linear and nonlinear stability of static, spherically symmetric wormhole solutions to Einstein's field equations coupled to a massless ghost scalar field. Our analysis revealed that all these solutions are…

General Relativity and Quantum Cosmology · Physics 2010-03-25 J. A. Gonzalez , F. S. Guzman , O. Sarbach

It is shown that the existence of static, cylindrically symmetric wormholes does not require violation of the weak or null energy conditions near the throat, and cylindrically symmetric wormhole geometries can appear with less exotic…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Kirill A. Bronnikov , José P. S. Lemos
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