On the Thermodynamics of Goedel Black Holes

TL;DR

This paper explores the thermodynamic properties of Goedel black holes in string theory, highlighting entropy bounds, temperature limits, and challenges in formulating consistent thermodynamics for such exotic backgrounds.

Contribution

It provides a detailed analysis of the thermodynamics of Goedel black holes, addressing key issues and proposing potential solutions for their consistent theoretical description.

Findings

Entropy bounded, indicating finite-dimensional dual Hilbert space

Minimum black hole temperature suggests phase transition behavior

Identifies and discusses challenges in defining consistent thermodynamics

Abstract

After a brief review of Goedel-type universes in string theory, we discuss some intriguing properties of black holes immersed in such backgrounds. Among these are the upper bound on the entropy that points towards a finite-dimensional Hilbert space of a holographically dual theory, and the minimum black hole temperature that is reminiscent of the Hawking-Page transition. Furthermore, we discuss several difficulties that are encountered when one tries to formulate a consistent thermodynamics of Goedel black holes, and point out how they may be circumvented.