Critical Behavior of Dimensionally Continued Black Holes
General Relativity and Quantum Cosmology
2009-10-28 v2
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/9502029,
title = {Critical Behavior of Dimensionally Continued Black Holes},
author = {Javier P. Muniain and Dardo Piriz},
journal= {arXiv preprint arXiv:gr-qc/9502029},
year = {2009}
}
Comments
21 pages in Latex format, no figures, vastly improved version to appear in Phys. Rev. D