Hawking Radiation of Topological Massive Warped-AdS3 Black Hole Families

TL;DR

This paper studies Hawking radiation via Dirac particle tunnelling in Warped AdS3 black holes within Topological Massive Gravity, analyzing temperature differences between extremal and non-extremal cases.

Contribution

It applies the Hamilton-Jacobi method to compute tunnelling probabilities and Hawking temperatures for these black holes, including extremal cases, revealing temperature variations.

Findings

Hawking temperature is higher for non-extremal black holes when ω < 2r0/3.

Non-extremal black holes become unstable in certain parameter regimes.

The method provides insights into quantum radiation processes of Warped AdS3 black holes.

Abstract

We investigate the Dirac particles tunnelling as a radiation of Warped AdS$_{3}$ black hole family in Topological Massive Gravity. Using the Hamilton-Jacobi method, we discuss tunnelling probability and Hawking temperature of the spin-1/2 particles for the black hole and its extremal cases. We observe that the Hawking temperature of the non-extremal black hole higher than the extremal black hole when $\omega <\frac{2\ r_{0}}{3}$, because the non-extremal black hole become unstable in this case.