Hawking radiation from z=3 and z=1-Lifshitz black holes

TL;DR

This paper analyzes Hawking radiation as a tunneling process for z=3 and z=1-Lifshitz black holes, revealing differences in tunneling rates and entropy relations, especially noting the violation of the Area/4-law in the z=3 case.

Contribution

It compares tunneling rates and entropy changes in z=3 and z=1-Lifshitz black holes using Hamilton-Jacobi method, highlighting deviations from expected thermodynamic behavior.

Findings

Tunneling rate for z=3-Lifshitz black hole does not match the expected exp(ΔS) form.

z=1-Lifshitz (BTZ) black hole satisfies the Area/4-law.

Differences in entropy relations affect the tunneling process interpretation.

Abstract

The Hawking radiation considered as a tunneling process, by using a Hamilton-Jacobi prescription, is discussed for both z=3 and z=1-Lifshitz black holes. We have found that the tunneling rate (which is not thermal but related to the change of entropy) for the z=3-Lifshitz black hole (which does not satisfy the Area/4-law) does not yield (give us) the ecpected tunneling rate: $\Gamma\simeq exp(\Delta S)$, where $\Delta S$ is the change of black hole entropy, if we compare with the z=1-Lifshitz black hole (BTZ black hole, which satisfies the Area/4-law).