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In this paper we provide a method capable of producing an infinite number of solutions for Einstein's equation on static spacetimes with perfect fluid as a matter field. All spacetimes of this type which are symmetric with respect to a…

Differential Geometry · Mathematics 2018-02-08 Marcelo Barbosa , Benedito Leandro , Romildo Pina

We find the general form of all the supersymmetric configurations and solutions of N=2,d=4 Einstein-Yang-Mills theories. In the timelike case, which we study in great detail, giving many examples, the solutions to the full supergravity…

High Energy Physics - Theory · Physics 2009-12-10 Mechthild Huebscher , Patrick Meessen , Tomas Ortin , Silvia Vaula

We investigated the SU(2) Einstein-Yang-Mills system on a time-dependent non-diagonal cylindrical symmetric space-time. From the numerical investigation, wave-like solutions are found, consistent with the familiar string-like features. They…

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

The purpose of this study is to show that the exact solutions to Yang-Mills theory can occur in two-dimensional space-time. We show that the instability of the stationary solutions for the nonabelian gauge field theories questioned by the…

High Energy Physics - Theory · Physics 2018-05-24 Abolfazl Jafari

We construct finite mass, asymptotically flat black hole solutions in d=5 Einstein--Yang-Mills--Chern-Simons theory. Our results indicate the existence of a second order phase transition between Reissner-Nordstrom solutions and the…

High Energy Physics - Theory · Physics 2011-02-23 Yves Brihaye , Eugen Radu , D. H. Tchrakian

We establish the global existence and stability to the future of non-linear perturbation of de Sitter-like solutions to the Einstein-Yang-Mills system in $n \geq 4$ spacetime dimension. This generalizes Friedrich's Einstein-Yang-Mills…

General Relativity and Quantum Cosmology · Physics 2024-01-12 Chao Liu , Todd A. Oliynyk , Jinhua Wang

We present exact solutions in Einstein-Yang-Mills-Dirac theories with gauge groups SU(2) and SU(4) in Robertson-Walker space-time $R \times S^3 $, which are symmetric under the action of the group SO(4) of spatial rotations. Our approach is…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Gerd Rudolph , Torsten Tok , Igor P. Volobuev

We discuss static axially symmetric solutions of SU(2) Einstein-Yang-Mills-Higgs theory for large scalar coupling. These regular asymptotically flat solutions represent monopole-antimonopole chain and vortex ring solutions, as well as new…

High Energy Physics - Theory · Physics 2008-11-26 Jutta Kunz , Ulrike Neemann , Yasha Shnir

Local solutions of the static, spherically symmetric Einstein-Yang-Mills (EYM) equations with SU(2) gauge group are studied on the basis of dynamical systems methods. This approach enables us to classify EYM solutions in the origin…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Yu. Zotov

For gauge groups SO$(n{+}1)$, SU$(m{+}1)$ and Sp$(\ell{+}1)$, we construct equivariant Yang-Mills solutions on de Sitter space in $n{+}1$, $2(m{+}1)$ and $4(\ell{+}1)$ spacetime dimensions. The latter is conformally mapped to a finite…

High Energy Physics - Theory · Physics 2018-10-17 Olaf Lechtenfeld , Gönül Ünal

We construct a new class of asymptotically flat black hole solutions in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These black hole solutions are static, and they have a regular event horizon. However, they possess only…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz

We find exact multi-instanton solutions to the selfdual Yang-Mills equation on a large class of curved spaces with $SO(3)$ isometry, generalizing the results previously found on $\mathbb{R}^4$. The solutions are featured with explicit…

High Energy Physics - Theory · Physics 2021-07-02 Jun Nian , Yachao Qian

The time independent spherically symmetric solutions of General Relativity (GR) coupled to a dynamical unit timelike vector are studied. We find there is a three-parameter family of solutions with this symmetry. Imposing asymptotic flatness…

General Relativity and Quantum Cosmology · Physics 2010-02-05 Christopher Eling , Ted Jacobson

We prove local existence and uniqueness of static spherically symmetric solutions of the Einstein-Yang-Mills equations for an arbitrary compact semisimple gauge group in the so-called regular case. By this we mean the equations obtained…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Todd A. Oliynyk , H. P. Kunzle

Numerical evidence for a cosmological version of the Bartnik-McKinnon family of particle-like solutions of the Einstein-Yang-Mills system is presented. Our solutions are also static, but space has the topology of a three-sphere. By…

General Relativity and Quantum Cosmology · Physics 2008-02-03 P. Molnar

We present new exact solutions of the Einstein-Yang-Mills system. The solutions are described by a null Yang-Mills field in a Kundt spacetime. They generalize a previously known solution for a metric of $pp$ wave type. The solutions are…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Andrea Fuster

We present new spherically symmetric, dyonic soliton and black hole solutions of the ${\mathfrak {su}}(N)$ Einstein-Yang-Mills equations in four-dimensional asymptotically anti-de Sitter space-time. The gauge field has nontrivial electric…

General Relativity and Quantum Cosmology · Physics 2016-03-30 Ben L. Shepherd , Elizabeth Winstanley

First we review some of the attempts made to find exact spherically symmetric solutions of Einstein field equations in the presence of scalar fields .Wyman solution in both static and non static scalar field is discussed briefly and it is…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Mohammad Mehrpooya , D. Momeni

According to Birkhoff's theorem the only spherically symmetric solution of the vacuum Einstein field equations is the Schwarzschild solution. Inspite of imposing asymptotically flatness and staticness as initial conditions we obtain that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Amir H. Abbassi

We construct new regular solutions in Einstein-Yang-Mills theory. They are static, axially symmetric and asymptotically flat. They are characterized by a pair of integers (k,n), where k is related to the polar angle and $n$ to the azimuthal…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Yasha Shnir
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