Phase transitions for charged planar solitons in AdS

Abstract

In this work we study the phase transitions between the planar charged AdS black hole and the planar charged soliton. The planar soliton is obtained as a double analytic continuation of the charged black hole metric, which also involves analytically continuing the electric charge. We show that there are phase transitions between both solutions depending on the electric potential, magnetic flux and temperature. The analysis is carried out in the Grand-Canonical ensemble.

Supersymmetric solitons in gauged $\mathcal{N}=8$ supergravity

“…We believe this is a generic feature of such boundary conditions; we intend to provide a general proof in a forthcoming paper. It is also possible to construct black holes in this theory [15][16][17][18][19][20][21] and endow them with Wilson lines along the lines of [22]. This will provide an even more complete phase diagram of this model that we leave to analyze in the future.…”

Exact hairy black holes asymptotically $AdS_{2+1}$

“…Indeed in this manifold, the Riemann tensor is a function of the Ricci tensor and metric R αβγσ (R µν , g µν ), them if we consider the Einstein-Hilbert action there is no solutions, nevertheless, when a negative cosmological constant is considered Banados, Teitelboim and Zanelli found the BTZ black hole solution [3,4]. The procedure to overcome the non-hair theorem consist in coupling (minimal, non-minimal or conformal) another fields to Einstein-Hilbert, but under the special conditions [2,[5][6][7][8][9][10], And no less important is the route of higherderivative gravities [11][12][13], another examples with scalar hair and gauge fields in fourth dimensions can be found in [14][15][16][17][18][19][20] Here we present a family of hairy black hole solutions in three dimensions with a non-trivial scalar potential minimally coupling. This scalar field contributes to the metric, therefore, in to the thermodynamics of the black hole.…”