Quantum Tunneling of Spin-1 Particles from a 5D Einstein-Yang-Mills-Gauss-Bonnet Black Hole Beyond Semiclassical Approximation

TL;DR

This paper investigates quantum tunneling of spin-1 particles from a 5D Einstein-Yang-Mills-Gauss-Bonnet black hole, deriving Hawking temperature and entropy corrections beyond semiclassical approximation, suggesting possible black hole remnants.

Contribution

It extends the analysis of Hawking radiation to spin-1 particles in a 5D EYMGB black hole beyond semiclassical approximation, including quantum corrections to entropy.

Findings

Derived Hawking temperature using Proca equation and WKB approximation.

Calculated logarithmic quantum corrections to black hole entropy.

Indicated the potential existence of black hole remnants due to quantum effects.

Abstract

In the present paper we study the Hawking radiation as a quantum tunneling effect of spin-$1$ particles from a five-dimensional, spherically symmetric, Einstein-Yang-Mills-Gauss-Bonnet (5D EYMGB) black hole. We solve the Proca equation (PE) by applying the WKB approximation and separation of variables via Hamilton-Jacobi (HJ) equation which results in a set of five differential equations, and reproduces in this way, the Hawking temperature. In the second part of this paper, we extend our results beyond the semiclassical approximation. In particular, we derive the logarithmic correction to the entropy of the 5D EYMGB black hole and show that the quantum corrected specific heat indicates the possible existence of a remnant.