Dolan, Brian P. (2014) Thermodynamic stability of asymptotically anti-de Sitter rotating black holes in higher dimensions. Classical and Quantum Gravity, 31 (165011). pp. 1-23. ISSN 0264-9381

Preview

Download (352kB) | Preview

Abstract

Conditions for thermodynamic stability of asymptotically anti-de Sitter rotating black holes in D-dimensions are determined. Local thermodynamic stability requires not only positivity conditions on the specific heat and the moment of inertia tensor but it is also necessary that the adiabatic compressibility be positive. It is shown that, in the absence of a cosmological constant, neither rotation nor charge is sufficient to ensure full local thermodynamic stability of a black hole. Thermodynamic stability properties of anti-de Sitter Myers-Perry black holes are investigated for both singly spinning and multi-spinning black holes. Simple expressions are obtained for the specific heat and moment of inertia tensor in any dimension. An analytic expression is obtained for the boundary of the region of parameter space in which such space-times are thermodynamically stable.

Item Type:	Article
Additional Information:	Postprint version of published article. The definitive version of this article is available at Thermodynamic stability of asymptotically anti-de Sitter rotating black holes in higher dimensions; Brian P Dolan 2014 Class. Quantum Grav. 31 165011 DOI: 10.1088/0264-9381/31/16/165011
Keywords:	black holes; higher dimensions; anti-de Sitter; rotation; thermodynamics;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	5819
Identification Number:	https://doi.org/10.1088/0264-9381/31/16/165011
Depositing User:	Dr. Brian Dolan
Date Deposited:	11 Feb 2015 15:02
Journal or Publication Title:	Classical and Quantum Gravity
Publisher:	Institute of Physics
Refereed:	Yes
URI:
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

Repository Staff Only(login required)

Item control page

Downloads

Origin of downloads