Critical Behavior of Dimensionally Continued Black Holes

Details Critical Behavior of Dimensionally Continued Black Holes Critical Behavior of Dimensionally Continued Black Holes

1995-02-12

arxiv.org/abs/gr-qc/9502029v2

Phys.Rev. D53 (1996) 816-823

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages in Latex format, no figures, vastly improved version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.53.816

The critical behavior of black holes in even and odd dimensional spacetimes is studied based on Ba\~nados-Teitelboim-Zanelli (BTZ) dimensionally continued black holes. In even dimensions it is found that asymptotically flat and anti de-Sitter Reissner-Nordstr\"om black holes present up to two second order phase transitions. The case of asymptotically anti-de-Sitter Schwarzschild black holes present only one critical transition and a minimum of temperature, which occurs at the transition. Finally, it is shown that phase transitions are absent in odd dimensions.

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