The Thermodynamics of Kaluza-Klein Black Hole/Bubble Chains

Details The Thermodynamics of Kaluza-Klein Black Hole/Bubble Chains The Thermodynamics of Kaluza-Klein Black Hole/Bubble Chains

2008-03-13

arxiv.org/abs/0803.2019v1

Class.Quant.Grav.25:125004,2008

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 1 figure

Scientific paper

10.1088/0264-9381/25/12/125004

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.

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