Critical Behavior of Dimensionally Continued Black Holes

Abstract

The critical behavior of black holes in even and odd dimensional spacetimes is studied based on Bañados-Teitelboim-Zanelli (BTZ) dimensionally continued black holes. In even dimensions it is found that asymptotically flat and anti de-Sitter Reissner-Nordström 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.

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

References in corpus (5)

• Evanescent Black Holes
• Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid
• Dimensionally Continued Black Holes
• The Emergence of an Effective two - dimensional Quantum Description from the study of Critical Phenomena in Black Holes
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