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The thermodynamics of Kaluza–Klein black hole/bubble chains
Classical and Quantum Gravity
  • David Kastor, University of Massachusetts - Amherst
  • Sourya Ray
  • Jennie Traschen, University of Massachusetts - Amherst
Publication Date
2008
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/
Citation Information
David Kastor, Sourya Ray and Jennie Traschen. "The thermodynamics of Kaluza–Klein black hole/bubble chains" Classical and Quantum Gravity Vol. 25 Iss. 12 (2008)
Available at: http://works.bepress.com/david_kastor/32/