Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-10-10
Phys.Rev. D69 (2004) 064032
Physics
High Energy Physics
High Energy Physics - Theory
42 pages, 19 eps figures; v2: 3 references added, version to appear in Phys.Rev.D
Scientific paper
10.1103/PhysRevD.69.064032
We describe the first convergent numerical method to determine static black hole solutions (with S^3 horizon) in 5d compactified spacetime. We obtain a family of solutions parametrized by the ratio of the black hole size and the size of the compact extra dimension. The solutions satisfy the demanding integrated first law. For small black holes our solutions approach the 5d Schwarzschild solution and agree very well with new theoretical predictions for the small corrections to thermodynamics and geometry. The existence of such black holes is thus established. We report on thermodynamical (temperature, entropy, mass and tension along the compact dimension) and geometrical measurements. Most interestingly, for large masses (close to the Gregory-Laflamme critical mass) the scheme destabilizes. We interpret this as evidence for an approach to a physical tachyonic instability. Using extrapolation we speculate that the system undergoes a first order phase transition.
Kol Barak
Piran Tsvi
Sorkin Evgeny
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