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The critical behavior of black holes in even and odd dimensional space times is studied based on Bañados-Teitelboim-Zanelli 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 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. © 1996 The American Physical Society.
Physical Review D – American Physical Society (APS)
Published: Jan 15, 1996
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