CRITICAL-BEHAVIOR OF DIMENSIONALLY CONTINUED BLACK-HOLES

The critical behavior of black holes in even and odd dimensional space times is studied based on Banados-Teitelboim-Zanelli dimensionally con tinued black holes. In even dimensions it is found that asymptotically hat and anti-de Sitter Reissner-Nordstrom black holes present up to t wo second-order phase transitions. The case of asymptotically anti-de Sitter-Schwarzschild black holes presents 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.