Correlation of Horizons and Black Hole Thermodynamics

TL;DR

This paper investigates the thermodynamics of multi-horizon black holes, proposing a global temperature via quantum tunneling that differs from Hawking temperature, enhancing understanding of black hole thermodynamics.

Contribution

It introduces a method to define a global temperature for multi-horizon black holes in specific gravity theories, addressing an unresolved issue in black hole thermodynamics.

Findings

Global temperature differs from Hawking temperature in studied cases.

Quantum tunneling method successfully finds a consistent global temperature.

Results apply to asymptotically AdS_3 and warped AdS_3 black holes.

Abstract

For black holes with more than one horizon, the existence of a global temperature is not fully understood. This can affect the thermodynamics of these black holes to be unclear. In this paper, using the method of quantum tunneling, we find a global temperature for asymptotically AdS_3 multi-horizon black holes appeared in three dimensional quasitopological gravities. We also find a global temperature for the asymptotically warped AdS3 black holes. In all of the cases the global temperature differs from the conventional Hawking temperature