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We analyze the nonlinear evolution of spherically symmetric wormhole solutions coupled to a massless ghost scalar field using numerical methods. In a previous article we have shown that static wormholes with these properties are unstable…

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

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

In this paper we investigate wormhole and spherically symmetric solutions in 4D gravity plus a matter source consisting of a ghost scalar field with a sine-Gordon potential. For the wormhole solutions we also include the possibility of…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Vladimir Dzhunushaliev , Vladimir Folomeev , Ratbay Myrzakulov , Douglas Singleton

Static, spherically symmetric, traversable wormhole solutions with electric or magnetic charges are shown to exist in general relativity in the presence of scalar fields nonminimally coupled to gravity. These wormholes, however, turn out to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , S. Grinyok

Static, spherically symmetric, traversable wormholes, induced by massless, nonminimally coupled scalar fields in general relativity, are shown to be unstable under spherically symmetric perturbations. The instability is related to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , S. Grinyok

The Schwarzschild solution describes a classical static black hole in general relativity. When general relativity is extended by including semiclassical corrections in the form of a renormalized energy-momentum tensor, the horizon of the…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Ben Kain

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 discuss several properties of static, spherically symmetric wormholes with particular emphasis on the behavior of causal geodesics and the propagation of linear fields. We show there always exist null geodesics which are trapped in a…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Olivier Sarbach , Thomas Zannias

We study the stability of static, spherically symmetric, traversable wormholes with or without an electric charge, existing due to conformal continuations in a class of scalar-tensor theories with zero scalar field potential (so that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , S. V. Grinyok

Quadratic scale-invariant gravity non minimally coupled to a scalar field provides a competitive model for inflation, characterized by the transition from an unstable to a stable fixed point, both characterized by constant scalar field…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Simon Boudet , Massimiliano Rinaldi , Samuele Marco Silveravalle

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

It is concluded in the literature that Ellis wormhole is unstable under small perturbations and would decay either to the Schwarzschild black hole or expand away to infinity. While this deterministic conclusion of instability is correct, we…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Kamal K. Nandi , Alexander A. Potapov , Ramil Izmailov , Amarjit Tamang , James C. Evans

We investigate the classical stability of the higher-dimensional Schwarzschild black holes against linear perturbations, in the framework of a gauge-invariant formalism for gravitational perturbations of maximally symmetric black holes,…

High Energy Physics - Theory · Physics 2009-11-10 Akihiro Ishibashi , Hideo Kodama

We study the stability of static, spherically symmetric, traversable wormholes existing due to conformal continuations in a class of scalar-tensor theories with zero scalar field potential (so that Fisher's well-known scalar-vacuum solution…

General Relativity and Quantum Cosmology · Physics 2016-08-31 K. A. Bronnikov , S. V. Grinyok

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

We review nonsingular static, spherically symmetric solutions of general relativity with a minimally coupled scalar field $\phi$ as a source. Considered are wormholes and regular black holes without a center, including black universes…

General Relativity and Quantum Cosmology · Physics 2018-03-16 Kirill A. Bronnikov

We study the stability of new neutral and electrically charged four-dimensional black hole solutions of Einstein's equations with a positive cosmological constant and conformally coupled scalar field. The neutral black holes are always…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Tom J. T. Harper , Paul A. Thomas , Elizabeth Winstanley , Phil M. Young

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

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

Five and six dimensional static, spherically symmetric, asymptotically Euclidean black holes, are unstable under gravitational perturbations if their mass is lower than a critical value set by the string tension. The instability is due to…

High Energy Physics - Theory · Physics 2008-11-26 Martin Beroiz , Gustavo Dotti , Reinaldo J. Gleiser
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