AdS solitons with conformal scalar hair

Brihaye, Yves; Hartmann, Betti; Tojiev, S.R.

doi:10.1103/physrevd.88.104006

Cited by 11 publications

(15 citation statements)

References 68 publications

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“…Furthermore, there is a forbidden band for the intermediate values of the gauge coupling of charges for the hairy solitons. Conformal scalar hairs have also been studied for the AdS solutions [144]. The shadows of Kerr black holes with scalar hair have been investigated by using backwards ray tracing [145].…”

Section: Phase Transition Points Through Heat Capacitymentioning

confidence: 99%

Charged dilatonic black holes in gravity’s rainbow

et al. 2016

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In this paper, we present charged dilatonic black holes in gravity's rainbow. We study the geometric and thermodynamic properties of black hole solutions. We also investigate the effects of rainbow functions on different thermodynamic quantities for these charged black holes in dilatonic gravity's rainbow. Then we demonstrate that the first law of thermodynamics is valid for these solutions. After that, we investigate thermal stability of the solutions using the canonical ensemble and analyze the effects of different rainbow functions on the thermal stability. In addition, we present some arguments regarding the bound and phase transition points in context of geometrical thermodynamics. We also study the phase transition in extended phase space in which the cosmological constant is treated as the thermodynamic pressure. Finally, we use another approach to calculate and demonstrate that the obtained critical points in extended phase space represent a second order phase transition for these black holes.

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Section: Phase Transition Points Through Heat Capacitymentioning

confidence: 99%

Charged dilatonic black holes in gravity’s rainbow

et al. 2016

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“…Including gravitating matter leads to a much richer set of possible phase structures in the dual theory. Solutions of this type may or may not have horizons, and have been classified as versions of the AdS black hole or the AdS soliton with hair, respectively [17][18][19][20]. In [21,22] new types of such asymptotically AdS solutions in three space-time dimensions were found for rotating black holes.…”

Section: Introductionmentioning

confidence: 99%

Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography

Cartwright

Harms

Kaminski

2021

J. High Energ. Phys.

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We report analytically known states at non-zero temperature which may serve as a powerful tool to reveal common topological and thermodynamic properties of systems ranging from the QCD phase diagram to topological phase transitions in condensed matter materials. In the holographically dual gravity theory, these are analytic solutions to a five-dimensional non-linear-sigma (Skyrme) model dynamically coupled to Einstein gravity. This theory is shown to be holographically dual to $$ \mathcal{N} $$ N = 4 Super-Yang-Mills theory coupled to an SU(2)-current. All solutions are fully backreacted asymptotically Anti-de Sitter (AdS) black branes or holes. One family of global AdS black hole solutions contains non-Abelian gauge field configurations with positive integer Chern numbers and finite energy density. Larger Chern numbers increase the Hawking-Page transition temperature. In the holographically dual field theory this indicates a significant effect on the deconfinement phase transition. Black holes with one Hawking temperature can have distinct Chern numbers, potentially enabling topological transitions. A second family of analytic solutions, rotating black branes, is also provided. These rotating solutions induce states with propagating charge density waves in the dual field theory. We compute the Hawking temperature, entropy density, angular velocity and free energy for these black holes/branes. These correspond to thermodynamic data in the dual field theory. For these states the energy-momentum tensor, (non-)conserved current, and topological charge are interpreted.

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“…[1] Examples of such solutions are AdS black holes, [2] AdS solitons, [3] and their hairy extensions. [4], [5], [6], [7] Here we show the existence of asymptotically AdS 3 σ-model solitons. Their stability requires the fields to be rotating.…”

Section: Introductionmentioning

confidence: 54%

Spinning σ-model solitons in 2 + 1 anti-de Sitter space

Harms

Stern

2016

Physics Letters B

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We obtain numerical solutions for rotating topological solitons of the nonlinear σ-model in threedimensional Anti-de Sitter space. Two types of solutions, i) and ii), are found. The σ-model fields are everywhere well defined for both types of solutions, but they differ in their space-time domains. Any time slice of the space-time for the type i) solution has a causal singularity, despite the fact that all scalars constructed the curvature tensor are bounded functions. No evidence of a horizon is seen for any of the solutions, and therefore the type i) solutions have naked singularities. On the other hand, the space-time domain, along with the fields, for the type ii) solutions are singularity free. Multiple families of solutions exhibiting bifurcation phenomena are found for this case. *

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AdS solitons with conformal scalar hair

Cited by 11 publications

References 68 publications

Charged dilatonic black holes in gravity’s rainbow

Charged dilatonic black holes in gravity’s rainbow

Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography

Spinning σ-model solitons in 2 + 1 anti-de Sitter space

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