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Article
The first law for boosted Kaluza-Klein black holes
Journal of High Energy Physics
  • David Kastor, University of Massachusetts - Amherst
  • Sourya Ray
  • Jennie Traschen, University of Massachusetts - Amherst
Publication Date
2007
Abstract
We study the thermodynamics of Kaluza-Klein black holes with momentum along the compact dimension, but vanishing angular momentum. These black holes are stationary, but non-rotating. We derive the first law for these spacetimes and find that the parameter conjugate to variations in the length of the compact direction is an effective tension, which generally differs from the ADM tension. For the boosted black string, this effective tension is always positive, while the ADM tension is negative for large boost parameter. We also derive two Smarr formulas, one that follows from time translation invariance, and a second one that holds only in the case of exact translation symmetry in the compact dimension. Finally, we show that the `tension first law' derived by Traschen and Fox in the static case has the form of a thermodynamic Gibbs-Duhem relation and give its extension in the stationary, non-rotating case.
Comments
This is the pre-published version harvested from ArXiv. The published version is located at http://iopscience.iop.org/1126-6708/2007/06/026/
Citation Information
David Kastor, Sourya Ray and Jennie Traschen. "The first law for boosted Kaluza-Klein black holes" Journal of High Energy Physics Vol. 2007 Iss. JHEP06(2007) (2007)
Available at: http://works.bepress.com/david_kastor/3/