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Author Kastor, David ♦ Ray, Sourya ♦ Traschen, Jennie
Source CiteSeerX
Content type Text
File Format PDF
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Compact Direction ♦ Kaluza-klein Black Hole ♦ Time Translation Invariance ♦ Large Boost Parameter ♦ Black Hole ♦ Static Case ♦ Second One ♦ Angular Momentum ♦ Boosted Kaluza Klein Black Hole ♦ Effective Tension ♦ Adm Tension ♦ Thermodynamic Gibbs-duhem Relation ♦ Parameter Conjugate ♦ Compact Dimension ♦ Exact Translation Symmetry ♦ First Law ♦ Boosted Black String ♦ Smarr Formula
Description 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
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Institution JHEP 06 (2007) 026, arXiv:0704.0729 [hep-th