Hawking Radiation of Massive Vector Particles From Warped AdS$_3$ Black Hole

TL;DR

This paper investigates Hawking radiation of massive vector particles from a rotating Warped AdS3 black hole using quantum tunneling methods, confirming the Hawking temperature through detailed calculations.

Contribution

It applies the Hamilton-Jacobi method to the Proca equation for the first time in this context, providing a detailed derivation of the Hawking temperature for WAdS3 black holes.

Findings

Successfully derived the tunneling rate of massive vector particles.

Reproduced the Hawking temperature consistent with previous results.

Validated the quantum tunneling approach for vector particles in warped AdS3 black holes.

Abstract

Hawking radiation (HR) of massive vector particles from a rotating Warped Anti-de Sitter black hole in 2+1 dimensions (WAdS$_{\text{3}}$BH) is studied in detail. The quantum tunneling approach with the Hamilton-Jacobi method (HJM) is applied in the Proca equation (PE), and we show that the radial function yields the tunneling rate of the outgoing particles. Comparing the result obtained with the Boltzmann factor, we satisfactorily reproduce the Hawking temperature (HT) of the WAdS$_{\text{3}}$BH.