scholarly journals Static axially symmetric Einstein-Yang-Mills-dilaton solutions. II. Black hole solutions

1998 ◽  
Vol 57 (10) ◽  
pp. 6138-6157 ◽  
Author(s):  
Burkhard Kleihaus ◽  
Jutta Kunz
Keyword(s):  
Black Hole ◽  
Axially Symmetric ◽  
Yang Mills ◽  
Black Hole Solutions

scholarly journals Existence of black hole solutions for the Einstein-Yang/Mills equations

1993 ◽  
Vol 154 (2) ◽  
pp. 377-401 ◽  
Author(s):  
J. A. Smoller ◽  
A. G. Wasserman ◽  
S. T. Yau
Keyword(s):  
Black Hole ◽  
Yang Mills ◽  
Black Hole Solutions

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 Sequences of globally regular and black hole solutions in SU(4) Einstein-Yang-Mills theory

1998 ◽  
Vol 58 (8) ◽  
Author(s):  
Burkhard Kleihaus ◽  
Jutta Kunz ◽  
Abha Sood ◽  
Marion Wirschins
Keyword(s):  
Black Hole ◽  
Yang Mills ◽  
Black Hole Solutions

scholarly journals New black hole solutions with axial symmetry in Einstein–Yang–Mills theory

2005 ◽  
Vol 627 (1-4) ◽  
pp. 180-187 ◽  
Author(s):  
Rustam Ibadov ◽  
Burkhard Kleihaus ◽  
Jutta Kunz ◽  
Marion Wirschins
Keyword(s):  
Black Hole ◽  
Axial Symmetry ◽  
Yang Mills ◽  
Black Hole Solutions
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