scholarly journals Instability proof for Einstein–Yang–Mills solitons and black holes with arbitrary gauge groups

1996 ◽  
Vol 37 (3) ◽  
pp. 1414-1433 ◽  
Author(s):  
Othmar Brodbeck ◽  
Norbert Straumann
Keyword(s):  
Black Holes ◽  
Gauge Groups ◽  
Yang Mills ◽  
Arbitrary Gauge

scholarly journals Yang–Mills black holes in quasitopological gravity

2021 ◽  
Vol 81 (5) ◽  
Author(s):  
Fatemeh Naeimipour ◽  
Behrouz Mirza ◽  
Fatemeh Masoumi Jahromi
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Space Dimension ◽  
Thermally Stable ◽  
Gauge Groups ◽  
Yang Mills ◽  
First Order Phase Transition ◽  
Gravity Coefficient ◽  
First Order Phase ◽  
Black Hole Solutions

AbstractIn this paper, we formulate two new classes of black hole solutions in higher curvature quartic quasitopological gravity with nonabelian Yang–Mills theory. At first step, we consider the SO(n) and $$SO(n-1,1)$$ S O ( n - 1 , 1 ) semisimple gauge groups. We obtain the analytic quartic quasitopological Yang–Mills black hole solutions. Real solutions are only accessible for the positive value of the redefined quartic quasitopological gravity coefficient, $$\mu _{4}$$ μ 4 . These solutions have a finite value and an essential singularity at the origin, $$r=0$$ r = 0 for space dimension higher than 8. We also probe the thermodynamic and critical behavior of the quasitopological Yang–Mills black hole. The obtained solutions may be thermally stable only in the canonical ensemble. They may also show a first order phase transition from a small to a large black hole. In the second step, we obtain the pure quasitopological Yang–Mills black hole solutions. For the positive cosmological constant and the space dimensions greater than eight, the pure quasitopological Yang–Mills solutions have the ability to produce both the asymptotically AdS and dS black holes for respectively the negative and positive constant curvatures, $$k=-1$$ k = - 1 and $$k=+1$$ k = + 1 . This is unlike the quasitopological Yang–Mills theory which can lead to just the asymptotically dS solutions for $$\Lambda >0$$ Λ > 0 . The pure quasitopological Yang–Mills black hole is not thermally stable.

scholarly journals Instability of Einstein-Yang-Mills solitons for arbitrary gauge groups

1994 ◽  
Vol 324 (3-4) ◽  
pp. 309-314 ◽  
Author(s):  
Othmar Brodbeck ◽  
Norbert Straumann
Keyword(s):  
Gauge Groups ◽  
Yang Mills ◽  
Arbitrary Gauge

Wormhole solutions in the Einstein‒Yang‒Mills‒Higgs system - I. General theory of the zero-order structure

1983 ◽  
Vol 386 (1790) ◽  
pp. 223-240 ◽  
Keyword(s):  
Differential Operators ◽  
Broad Class ◽  
Order Structure ◽  
Nonlinear Elliptic System ◽  
Field Equations ◽  
Gauge Groups ◽  
Yang Mills ◽  
Nonlinear Elliptic ◽  
Static Solutions ◽  
Arbitrary Gauge

We show that the field equations for static solutions containing an extreme type of black hole imply severe conditions on the boundary values of all fields at the internal infinity of the holes. These conditions have the form of an overdetermined, nonlinear elliptic system of differential equations on a two-dimensional compact manifold. We simplify the system using positivity of some of its differential operators and prove that for a broad class of Higgs potential functions and for arbitrary gauge groups the only solution is the abelian embedded Reissner‒Nordström one.

DYNAMICS OF EUCLIDEANIZED EINSTEIN-YANG-MILLS SYSTEMS WITH ARBITRARY GAUGE GROUPS

1991 ◽  
Vol 06 (23) ◽  
pp. 4149-4180 ◽  
Author(s):  
O. BERTOLAMI ◽  
J.M. MOURÃO ◽  
R.F. PICKEN ◽  
I.P. VOLOBUJEV
Keyword(s):  
Dynamical System ◽  
Differential Equations ◽  
Broad Class ◽  
Friedmann Equation ◽  
Second Order ◽  
Isotropy Group ◽  
Gauge Groups ◽  
Yang Mills ◽  
Second Order Differential Equations ◽  
Arbitrary Gauge

We describe the dynamics of euclideanized SO(4)-symmetric Einstein-Yang-Mills (EYM) systems with arbitrary compact gauge groups [Formula: see text]. For the case of SO(n) and SU(n) gauge groups and simple embeddings of the isotropy group in [Formula: see text], we show that in the resulting dynamical system, the Friedmann equation decouples from the Yang-Mills equations. Furthermore, the latter can be reduced to a system of two second-order differential equations. This allows us to find a broad class of instanton (wormhole) solutions of the EYM equations. These solutions are not afflicted by the giant-wormhole catastrophe.

scholarly journals Seiberg-Witten maps and noncommutative Yang-Mills theories for arbitrary gauge groups

2002 ◽  
Vol 2002 (08) ◽  
pp. 023-023 ◽  
Author(s):  
Glenn Barnich ◽  
Friedemann Brandt ◽  
Maxim Grigoriev
Keyword(s):  
Gauge Groups ◽  
Yang Mills ◽  
Arbitrary Gauge

scholarly journals EXACT SOLUTIONS OF THE REISSNER–NORDSTRÖM TYPE IN EINSTEIN–YANG–MILLS SYSTEMS WITH ARBITRARY GAUGE GROUPS AND SPACE–TIME DIMENSIONS

1996 ◽  
Vol 11 (28) ◽  
pp. 4999-5014 ◽  
Author(s):  
GERD RUDOLPH ◽  
TORSTEN TOK ◽  
IGOR P. VOLOBUEV
Keyword(s):  
Dimensional Space ◽  
Space Time ◽  
Abelian Gauge ◽  
Gauge Groups ◽  
Yang Mills ◽  
Gravitational Fields ◽  
Dimensional Reduction Method ◽  
Dimensional Space Time ◽  
Spatial Rotations ◽  
Arbitrary Gauge

We present a class of solutions in Einstein–Yang–Mills systems with arbitrary gauge groups and space–time dimensions, which are symmetric under the action of the group of spatial rotations. Our approach is based on the dimensional reduction method for gauge and gravitational fields and relates symmetric Einstein–Yang–Mills solutions to certain solutions of two-dimensional Einstein–Yang–Mills–Higgs-dilaton theory. Application of this method to four-dimensional spherically symmetric (pseudo-)Riemannian space–time yields, in particular, new solutions describing both a magnetic and an electric charge at the center of a black hole. Moreover, we give an example of a solution with non-Abelian gauge group in six-dimensional space–time. We also comment on the stability of the obtained solutions.

scholarly journals Analytic critical points of charged Rényi entropies from hyperbolic black holes

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Jie Ren
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Study Phase ◽  
Zero Temperature ◽  
Charged Scalar ◽  
Yang Mills ◽  
Gravitational Systems ◽  
Rényi Entropies ◽  
Zero Entropy ◽  
Renyi Entropies

Abstract We analytically study phase transitions of holographic charged Rényi entropies in two gravitational systems dual to the $$ \mathcal{N} $$ N = 4 super-Yang-Mills theory at finite density and zero temperature. The first system is the Reissner-Nordström-AdS5 black hole, which has finite entropy at zero temperature. The second system is a charged dilatonic black hole in AdS5, which has zero entropy at zero temperature. Hyperbolic black holes are employed to calculate the Rényi entropies with the entangling surface being a sphere. We perturb each system by a charged scalar field, and look for a zero mode signaling the instability of the extremal hyperbolic black hole. Zero modes as well as the leading order of the full retarded Green’s function are analytically solved for both systems, in contrast to previous studies in which only the IR (near horizon) instability was analytically treated.

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