scholarly journals On the existence of topological dyons and dyonic black holes in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups

2018 ◽  
Vol 59 (5) ◽  
pp. 052502 ◽  
Author(s):  
J. Erik Baxter
2021 ◽  
Vol 81 (5) ◽  
Author(s):  
Fatemeh Naeimipour ◽  
Behrouz Mirza ◽  
Fatemeh Masoumi Jahromi

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.


2015 ◽  
Vol 747 ◽  
pp. 205-211 ◽  
Author(s):  
Olga Kichakova ◽  
Jutta Kunz ◽  
Eugen Radu ◽  
Yasha Shnir

2010 ◽  
Vol 25 (18) ◽  
pp. 1507-1519 ◽  
Author(s):  
N. BOSTANI ◽  
M. H. DEHGHANI

We present the topological solutions of Einstein gravity in the presence of a non-Abelian Yang–Mills field. In (n+1) dimensions, we consider the SO (n(n-1)/2-1, 1) semisimple group as the Yang–Mills gauge group, and introduce the black hole solutions with hyperbolic horizon. We argue that the four-dimensional solution is exactly the same as the four-dimensional solution of Einstein–Maxwell gravity, while the higher-dimensional solutions are new. We investigate the properties of the higher-dimensional solutions and find that these solutions in five dimensions have the same properties as the topological five-dimensional solution of Einstein–Maxwell (EM) theory although the metric function in five dimensions is different. But in six and higher dimensions, the topological solutions of EYM and EM gravities with non-negative mass have different properties. First, the singularity of EYM solution does not present a naked singularity and is spacelike, while the singularity of topological Reissner–Nordström solution is timelike. Second, there are no extreme six or higher-dimensional black holes in EYM gravity with non-negative mass, while these kinds of solutions exist in EM gravity. Furthermore, EYM theory has no static asymptotically de Sitter solution with non-negative mass, while EM gravity has.


2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Almendra Aragón ◽  
Ramón Bécar ◽  
P. A. González ◽  
Yerko Vásquez

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Mengjie Wang ◽  
Zhou Chen ◽  
Xin Tong ◽  
Qiyuan Pan ◽  
Jiliang Jing
Keyword(s):  

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