Critical Behavior of Dimensionally Continued Black Holes

TL;DR

This paper investigates the phase transition behavior of dimensionally continued black holes across different spacetime dimensions, revealing multiple phase transitions in even dimensions and none in odd dimensions.

Contribution

It provides a comprehensive analysis of the critical phenomena of BTZ dimensionally continued black holes in various dimensions, highlighting differences between even and odd cases.

Findings

Even dimensions exhibit up to two second order phase transitions.

Asymptotically anti-de-Sitter Schwarzschild black holes have one critical transition.

Odd dimensions show no phase transitions.

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.