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The aim of this note is to clarify the structure of nontrivial global solutions with nonpositive ADM mass for the static, spherically symmetric Einstein-Yang-Mills equations with SU(2) gauge group. The presented numerical results…

General Relativity and Quantum Cosmology · Physics 2010-11-19 M. Yu. Zotov

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

By replacing the scalar $\phi$ with $i\phi$ in the solution constructed in Ref\cite{Huang:2019lsl}, we obtain electrically-charged wormhole and black hole solutions in the Einstein-Maxwell-scalar theory, in which the scalar is a phantom…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Hyat Huang , Jinbo Yang

We discuss new exact solutions to nonminimally extended Einstein-Yang-Mills equations describing spherically symmetric static wormholes supported by the gauge field of the Wu-Yang type in a dark energy environment. We focus on the analysis…

General Relativity and Quantum Cosmology · Physics 2014-08-22 Alexander B. Balakin , Alexei E. Zayats

In the Bogomol'nyi-Prasad-Sommerfield (BPS) limit of Einstein-Yang-Mills-Higgs theory, we construct numerically a non-Abelian wormhole supported by a phantom field. The probe limit is the Yang-Mills-Higgs field in the background of Ellis…

General Relativity and Quantum Cosmology · Physics 2021-01-06 Xiao Yan Chew , Kok-Geng Lim

We present our results on numerical study of evolution of nonlinear perturbations inside spherically symmetric black holes in the SU(2) Einstein-Yang-Mills (EYM) theory. Recent developments demonstrate a new type of the behavior of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. E. Donets , M. N. Tentyukov , M. M. Tsulaia

We construct a large family of Euclidean supersymmetric wormhole solutions of type IIB supergravity which are asymptotically AdS$_5 \times S^5$. The solutions are constructed using consistent truncation to maximally gauged supergravity in…

High Energy Physics - Theory · Physics 2023-09-07 Davide Astesiano , Fridrik Freyr Gautason

We investigate the existence of black hole and soliton solutions to four dimensional, anti-de Sitter (adS), Einstein-Yang-Mills theories with general semisimple connected and simply connected gauge groups, concentrating on the so-called…

General Relativity and Quantum Cosmology · Physics 2018-12-14 J. Erik Baxter

We use a combination of numerical and analytical methods, exploiting the equations derived in a preceding paper, to classify all spherically symmetric self-similar solutions which are asymptotically Friedmann at large distances and contain…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hideki Maeda , Tomohiro Harada , B. J. Carr

Four-dimensional cylindrically symmetric spacetimes with homothetic self-similarity are studied in the context of Einstein's Theory of Gravity, and a class of exact solutions to the Einstein-massless scalar field equations is found. Their…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Anzhong Wang

A phase space is built that allows to study, classify and compare easily large classes of static spherically symmetric wormholes solutions, sustained by an isotropic perfect fluid in General Relativity. We determine the possible locations…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Stephane Fay

In this work, we investigate wormhole geometries with multiple throats and anti-throats in general relativity. The existence of these structures is identified through the analysis of minima and maxima in the area of the solution. Using…

General Relativity and Quantum Cosmology · Physics 2025-04-09 T. M. Crispim , Marcos V. de S. Silva , G. Alencar , Celio R. Muniz , Diego Sáez-Chillón Gómez

We consider the Einstein/Yang-Mills equations in $3+1$ space time dimensions with $\SU(2)$ gauge group and prove rigorously the existence of a globally defined smooth static solution. We show that the associated Einstein metric is…

Analysis of PDEs · Mathematics 2015-06-26 Joel Smoller , Arthur G. Wasserman , Shing-Tung Yau , J. Bryce McLeod

We present interesting relationship between what are called stationary axisymmetric black hole solutions for the vacuum Einstein equations in the ordinary four-dimensions and exact solutions for self-dual Yang-Mills fields in flat $2+2$…

High Energy Physics - Theory · Physics 2009-10-28 Hitoshi Nishino

We investigated numerically dyon-like solutions of the SU(2) Einstein-Yang-Mills system on a cylindrically symmetric space time with a cosmological constant. We find a new kind of behaviour not found in the spherically symmetric models. For…

Mathematical Physics · Physics 2007-05-23 Reinoud J. Slagter

Static spherically symmetric asymptotically flat particle-like and black hole solutions are constructed within the SU(2) sector of 4-dimensional heterotic string effective action. They separate topologically distinct Yang-Mills vacua and…

High Energy Physics - Theory · Physics 2010-11-19 E. E. Donets , D. V. Gal'Tsov

We present new spherically symmetric solutions of an SU(2) Einstein-Yang-Mills model coupled to a doublet of scalar fields. Sequences of asymptotically flat, Yang-Mills-boson star-type configurations are constructed numerically by…

High Energy Physics - Theory · Physics 2009-11-10 Yves Brihaye , Betti Hartmann , Eugen Radu

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

Analytical formulas are presented describing a generic singularity inside the static spherically symmetric black holes in the SU(2) Einstein-Yang-Mills-Higgs theories with triplet or doublet Higgs field. The singularity is spacelike and…

General Relativity and Quantum Cosmology · Physics 2009-10-30 D. V. Gal'tsov , E. E. Donets

We investigate dyonic black hole and dyon solutions of four-dimensional $SU(N)$ Einstein-Yang-Mills theory with a negative cosmological constant. We derive a set of field equations in this case, and prove the existence of non-trivial…

General Relativity and Quantum Cosmology · Physics 2016-02-04 J. Erik Baxter