Phase Transitions for Flat adS Black Holes

There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

Abstract

We reexamine the thermodynamics of adS black holes with Ricci flat horizons using the adS soliton as the thermal background. We find that there is a phase transition which is dependent not only on the temperature, but also on the black hole area, which is an independent parameter. As in the spherical adS black hole, this phase transition is related via the adS/CFT correspondence to a confinement-deconfinement transition in the large N gauge theory on the conformal boundary at infinity.

Related collections

Most cited references 2

Record: found
Abstract: found
Article: found

Is Open Access

Black holes with unusual topology

L. Vanzo (1997)

The Einstein's equations with a negative cosmological constant admit solutions which are asymptotically anti-de Sitter space. Matter fields in anti-de Sitter space can be in stable equilibrium even if the potential energy is unbounded from below, violating the weak energy condition. Hence there is no fundamental reason that black hole's horizons should have spherical topology. In anti-de Sitter space the Einstein's equations admit black hole solutions where the horizon can be a Riemann surface with genus \(g\). The case \(g=0\) is the asymptotically anti-de Sitter black hole first studied by Hawking-Page, which has spherical topology. The genus one black hole has a new free parameter entering the metric, the conformal class to which the torus belongs. The genus \(g>1\) black hole has no other free parameters apart from the mass and the charge. All such black holes exhibits a natural temperature which is identified as the period of the Euclidean continuation and there is a mass formula connecting the mass with the surface gravity and the horizon area of the black hole. The Euclidean action and entropy are computed and used to argue that the mass spectrum of states is positive definite.

0 comments Cited 124 times – based on 0 reviews

Preprint

     Review now

Bookmark

Record: found
Abstract: found
Article: found

Is Open Access

Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons

Dieter R. Brill, Peter Peldan, Jorma Louko (1997)

We examine counterparts of the Reissner-Nordstrom-anti-de Sitter black hole spacetimes in which the two-sphere has been replaced by a surface Sigma of constant negative or zero curvature. When horizons exist, the spacetimes are black holes with an asymptotically locally anti-de Sitter infinity, but the infinity topology differs from that in the asymptotically Minkowski case, and the horizon topology is not S^2. Maximal analytic extensions of the solutions are given. The local Hawking temperature is found. When Sigma is closed, we derive the first law of thermodynamics using a Brown-York type quasilocal energy at a finite boundary, and we identify the entropy as one quarter of the horizon area, independent of the horizon topology. The heat capacities with constant charge and constant electrostatic potential are shown to be positive definite. With the boundary pushed to infinity, we consider thermodynamical ensembles that fix the renormalized temperature and either the charge or the electrostatic potential at infinity. Both ensembles turn out to be thermodynamically stable, and dominated by a unique classical solution.

0 comments Cited 83 times – based on 0 reviews

Preprint

     Review now

Bookmark

All references

Author and article information

Journal

Publication date Created: 19 January 2001

Publication date Updated: 2001-01-31

Article

DOI: 10.1103/PhysRevLett.86.5231

ArXiV ID: hep-th/0101134

SO-VID: eb60fca7-fb91-466a-b76b-7ec1f018c208

History

Custom metadata

Journal reference Phys.Rev.Lett.86:5231-5234,2001

Comments 5 pages, Revtex, no figures. Minor changes, typos corrected, some references added

Phase Transitions for Flat adS Black Holes

Read this article at

Abstract

Related collections

Special Issue: Social pedagogical work with children, youth and their families with refugee and migrant background in Europe

Most cited references 2

Black holes with unusual topology

Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons

Author and article information

Journal

Article

History

Custom metadata

Comments

Comment on this article

Similar content 310

Cited by 37

Most referenced authors 8