Quantum Tunnelling of non-zero mass particle and evolution of the horizon for a static black hole

TL;DR

This paper investigates Hawking radiation from static black holes considering massive particles, demonstrating that temperature calculations are mass-independent and exploring quantum corrections to entropy and surface gravity.

Contribution

It introduces a detailed analysis of massive particle tunnelling and quantum corrections to black hole thermodynamics, extending previous massless particle studies.

Findings

Hawking temperature is independent of particle mass

Quantum corrections to entropy are not always logarithmic

Modified expressions for entropy and surface gravity are derived

Abstract

In this work, we study Hawking radiation from a general static black hole due to tunnelling of particle having nonzero mass. Hawking temperature has been calculated using both the tunnelling method and the Hamilton-Jacobi method and the results do no depend on the mass of the particle. Due to complicated form of the equations involved quantum corrections are evaluated only upto first order and it is possible to interprete the correction term as loop corrections of the back reaction effects in the space time. Finally, modified expressions for entropy and surface gravity has been evaluated and it is found that the leading order correction term to the entropy is not necessarily logarithmic in nature.