Quantum tunnelling for Hawking radiation from a dynamical Black Hole

TL;DR

This paper investigates quantum tunnelling and Hawking radiation from a dynamic black hole, incorporating quantum corrections beyond semi-classical approximation, leading to a modified entropy formula considering back reaction effects.

Contribution

It introduces a Hamilton-Jacobi method to include quantum corrections for non-static black holes, deriving a generalized entropy formula with back reaction effects.

Findings

Quantum corrections satisfy the same differential equation as the semiclassical action.

Proper proportionality factors yield back reaction effects in spacetime.

Modified Hawking temperature leads to a new black hole entropy expression.

Abstract

The paper deals with Hawking radiation related to non-static spherically symmetric black hole. Quantum corrections are incorporated using Hamilton-Jacobi method beyond semi-classical approximation. It is found that different order correction terms satisfy identical differential equation as the semiclassical action and are solved by a typical technique. It has been shown that with proper choice of the proportionality factors, one loop back reaction effect in the space time can be obtained. Finally, using the law of black hole mechanics, a general modified form of the black hole entropy is obtained considering modified Hawking temperature.