Smarr formula and an extended first law for Lovelock gravity

Authors

David Kastor, University of Massachusetts - AmherstFollow
Sourya Ray
Jennie Traschen, University of Massachusetts - AmherstFollow

Publication Date

2010

Journal or Book Title

Classical and Quantum Gravity

Abstract

We study properties of static, asymptotically AdS black holes in Lovelock gravity. Our main result is a Smarr formula that gives the mass in terms of geometrical quantities together with the parameters of the Lovelock theory. As in Einstein gravity, the Smarr formula follows from applying the first law to an infinitesimal change in the overall length scale. However, because the Lovelock couplings are dimensionful, we must first prove an extension of the first law that includes their variations. Key ingredients in this construction are the Killing–Lovelock potentials associated with each of the higher curvature Lovelock interactions. Geometric expressions are obtained for the new thermodynamic potentials conjugate to the variation of the Lovelock couplings.

Comments

This is the pre-published version harvested from ArXiv. The published version is located at http://iopscience.iop.org/0264-9381/27/23/235014/

Volume

27

Issue

23

Recommended Citation

Kastor, David; Ray, Sourya; and Traschen, Jennie, "Smarr formula and an extended first law for Lovelock gravity" (2010). Classical and Quantum Gravity. 1222.
Retrieved from https://scholarworks.umass.edu/physics_faculty_pubs/1222