The thermodynamics of Kaluza–Klein black hole/bubble chains

Authors

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

Publication Date

2008

Journal or Book Title

Classical and Quantum Gravity

Abstract

A Killing bubble is a minimal surface that arises as the fixed surface of a spacelike Killing field. We compute the bubble contributions to the Smarr relations and the mass and tension first laws for spacetimes containing both black holes and Killing bubbles. The resulting relations display an interesting interchange symmetry between the properties of black hole horizons and those of KK bubbles. This interchange symmetry reflects the underlying relation between static bubbles and black holes under double analytic continuation of the time and Kaluza–Klein directions. The thermodynamics of bubbles involve a geometrical quantity that we call the bubble surface gravity, which we show has several properties in common with the black hole surface gravity.

Comments

This is the pre-published version harvested from ArXiv. The published version is located at http://iopscience.iop.org/0264-9381/25/12/125004/

Volume

25

Issue

12

Recommended Citation

Kastor, David; Ray, Sourya; and Traschen, Jennie, "The thermodynamics of Kaluza–Klein black hole/bubble chains" (2008). Classical and Quantum Gravity. 1213.
Retrieved from https://scholarworks.umass.edu/physics_faculty_pubs/1213