Reissner–Nordström black holes with non-Abelian hair

Herdeiro, Carlos; Paturyan, Vanush; Radu, Eugen; Tchrakian, D. H.

doi:10.1016/j.physletb.2017.06.041

Cited by 16 publications

(12 citation statements)

References 98 publications

(156 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The thermodynamics of the hairy black hole has been analyzed in detail. The behavior one obtains is qualitatively similar to the recent results found numerically in [59] in a different context.…”

Section: Summary and Perspectivessupporting

confidence: 89%

Black hole and BTZ black string in the Einstein- SU(2) Skyrme model

et al. 2018

View full text Add to dashboard Cite

We present novel analytic hairy black holes with a flat base manifold in the (3+1)-dimensional Einstein SU (2)-Skyrme system with negative cosmological constant. We also construct (3+1)dimensional black strings in the Einstein SU (2)-non linear sigma model theory with negative cosmological constant. The geometry of these black strings is a three-dimensional charged BTZ black hole times a line, without any warp factor. The thermodynamics of these configurations (and its dependence on the discrete hairy parameter) is analyzed in details. A very rich phase diagram emerges.

show abstract

Section: Summary and Perspectivessupporting

confidence: 89%

Black hole and BTZ black string in the Einstein- SU(2) Skyrme model

et al. 2018

View full text Add to dashboard Cite

show abstract

“…The interesting thermodynamical features of these black holes remain in this case as well. This is qualitatively similar (in a phenomenological setting such as the Einstein-Pions system) to the recent findings of [26] in which a family of asymptotically flat black holes with non-Abelian hair has been presented which are thermodynamically favoured over the Reissner-Nordström solution.…”

Section: Introductionsupporting

confidence: 88%

“…This allows one to set = 0, if desired, thus recovering the known toroidal vacuum solution [31-35]this limit is however only "formal", since the Pionic field (22), (26) degenerates discontinuously to a single point in the internal space. 9 Here we are interested in solutions in AdS, but in (25) Λ can take any sign or vanish.…”

Section: Uncharged Black Holementioning

confidence: 99%

Hairy AdS black holes with a toroidal horizon in 4D Einstein-nonlinear σ-model system

et al. 2018

View full text Add to dashboard Cite

An exact hairy asymptotically locally AdS black hole solution with a flat horizon in the Einsteinnonlinear sigma model system in (3+1) dimensions is constructed. The ansatz for the nonlinear SU (2) field is regular everywhere and depends explicitly on Killing coordinates, but in such a way that its energy-momentum tensor is compatible with a metric with Killing fields. The solution is characterized by a discrete parameter which has neither topological nor Noether charge associated with it and therefore represents a hair. A U (1) gauge field interacting with Einstein gravity can also be included. The thermodynamics is analyzed. Interestingly, the hairy black hole is always thermodynamically favored with respect to the corresponding black hole with vanishing Pionic

show abstract

“…But unlike in the YM case, where the gravity decoupling solutions are topologically stable in even spacetime dimensions only, in the Skyrme case they are stable in all dimensions, like in the monopole case. 10 As found in [64,65], the inclusion of a F (4) 2 term in the Yang-Mills action (which is optional in this case) leads to a variety of new features also for d = 4, e.g. the existence of stable hairy non-Abelian BHs.…”

Section: Discussionmentioning

confidence: 72%

Skyrmions, Skyrme stars and black holes with Skyrme hair in five spacetime dimension

Brihaye

Herdeiro

Radu

et al. 2017

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We consider a class of generalizations of the Skyrme model to five spacetime dimensions (d = 5), which is defined in terms of an O(5) sigma model. A special ansatz for the Skyrme field allows angular momentum to be present and equations of motion with a radial dependence only. Using it, we obtain: 1) everywhere regular solutions describing localised energy lumps (Skyrmions); 2) Self-gravitating, asymptotically flat, everywhere non-singular solitonic solutions (Skyrme stars), upon minimally coupling the model to Einstein's gravity; 3) both static and spinning black holes with Skyrme hair, the latter with rotation in two orthogonal planes, with both angular momenta of equal magnitude. In the absence of gravity we present an analytic solution that satisfies a BPS-type bound and explore numerically some of the non-BPS solutions. In the presence of gravity, we contrast the solutions to this model with solutions to a complex scalar field model, namely boson stars and black holes with synchronised hair. Remarkably, even though the two models present key differences, and in particular the Skyrme model allows static hairy black holes, when introducing rotation, the synchronisation condition becomes mandatory, providing further evidence for its generality in obtaining rotating hairy black holes.

show abstract

Reissner–Nordström black holes with non-Abelian hair

Cited by 16 publications

References 98 publications

Black hole and BTZ black string in the Einstein- SU(2) Skyrme model

Black hole and BTZ black string in the Einstein- SU(2) Skyrme model

Hairy AdS black holes with a toroidal horizon in 4D Einstein-nonlinear σ-model system

Skyrmions, Skyrme stars and black holes with Skyrme hair in five spacetime dimension

Contact Info

Product

Resources

About