Rotating black holes with non-Abelian hair

Kleihaus, Burkhard; Kunz, Jutta; Navarro‐Lérida, Francisco

doi:10.1088/0264-9381/33/23/234002

Cited by 18 publications

(17 citation statements)

References 99 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Revival of interest to black holes with nonabelian field started in the late 80-ies of the last century [3][4][5], namely the black holes were observed to be unstable in case of asymptotically flat geometry [6], but later black holes' solutions were derived in anti-de Sitter case which were shown to be stable [7][8][9][10][11][12]. In the following decades there was growing interest to black holes with nonabelian fields not only in the framework of the standard General Relativity, but also in other gravitational frameworks, numerous solutions were obtained and studied [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. It should be pointed out that in nonabelian case there are various gauge groups, but most of the works study the solutions with the gauge groups which are the most relevant to physics, namely the unitary and orthogonal groups.…”

Section: Introductionmentioning

confidence: 99%

Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics

Stetsko

2020

Phys. Rev. D

View full text Add to dashboard Cite

In this work a static spherically symmetric black hole's solution within the Einstein-Maxwell-Yang-Mills-dilaton theory is derived. The obtained solution is examined, in particular, we have calculated the Kretschmann scalar which allowed us to characterize singularity points. Using the obtained black hole's solution we have studied its thermodynamics. Namely, the temperature was calculated, the first law was written, and the heat capacity was studied. The extended thermodynamics approach is utilized to obtain the equation of state. Within the extended thermodynamics the Gibbs free energy is derived and investigated. The analysis of the Gibbs free energy shows that below the critical temperature besides the first order phase transition in addition the zeroth order phase transition occurs, what is typical for other types of black holes with dilaton fields. Finally, we have shown that the critical exponents take the same values as for other types of the dilaton black holes.

show abstract

Section: Introductionmentioning

confidence: 99%

Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics

Stetsko

2020

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…Since for a given value of the mass there can be infinitely many different solutions, the no-hair conjecture is violated. This discovery triggered an extensive search for hairy BHs in various other models -see [32,35,40,41] for reviews. 3 The coloured BHs in [33] are, however, unstable against spherical linear perturbations within the EYM model [42,43].…”

Section: Introductionmentioning

confidence: 99%

“…Strictly speaking, even in the simplest SU(2) case, this holds for the static case only. The spinning solutions necessarily possess an electric charge[40,65,66] but their instability has never been established.…”

mentioning

confidence: 99%

Reissner–Nordström black holes with non-Abelian hair

et al. 2017

View full text Add to dashboard Cite

We consider d 4 Einstein-(extended-)Yang-Mills theory, where the gauge sector is augmented by higher order terms. Linearizing the (extended) Yang-Mills equations on the background of the electric Reissner-Nordström (RN) black hole, we show the existence of normalizable zero modes, dubbed non-Abelian magnetic stationary clouds. The non-linear realization of these clouds bifurcates the RN family into a branch of static, spherically symmetric, electrically charged and asymptotically flat black holes with non-Abelian hair. Generically, the hairy black holes are thermodynamically preferred over the RN solution, which, in this model, becomes unstable against the formation of non-Abelian hair, for sufficiently large values of the electric charge.

show abstract

“…8 Here, e a are the left-invariant one-forms on S 3 satisfying (2.4) and discussed in detail in appendix B. We remark that, due to the range ρ > 0 the metric (7.2) describes only one sheet of the two-sheeted hyperboloid in R 4,1 as a complete model of Euclideanized AdS 4 .…”

Section: Jhep11(2017)017mentioning

confidence: 99%

Finite-action solutions of Yang-Mills equations on de Sitter dS4 and anti-de Sitter AdS4 spaces

Иванова¹,

Lechtenfeld

Popov

2017

J. High Energ. Phys.

View full text Add to dashboard Cite

We consider pure SU(2) Yang-Mills theory on four-dimensional de Sitter dS 4 and anti-de Sitter AdS 4 spaces and construct various solutions to the Yang-Mills equations. On de Sitter space we reduce the Yang-Mills equations via an SU(2)-equivariant ansatz to Newtonian mechanics of a particle moving in R 3 under the influence of a quartic potential. Then we describe magnetic and electric-magnetic solutions, both Abelian and non-Abelian, all having finite energy and finite action. A similar reduction on anti-de Sitter space also yields Yang-Mills solutions with finite energy and action. We propose a lower bound for the action on both backgrounds. Employing another metric on AdS 4 , the SU(2) Yang-Mills equations are reduced to an analytic continuation of the above particle mechanics from R 3 to R 2,1 . We discuss analytical solutions to these equations, which produce infinite-action configurations. After a Euclidean continuation of dS 4 and AdS 4 we also present self-dual (instanton-type) Yang-Mills solutions on these backgrounds.

show abstract

Rotating black holes with non-Abelian hair

Cited by 18 publications

References 99 publications

Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics

Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics

Reissner–Nordström black holes with non-Abelian hair

Finite-action solutions of Yang-Mills equations on de Sitter dS4 and anti-de Sitter AdS4 spaces

Contact Info

Product

Resources

About