Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes

TL;DR

This paper explores how a minimal length scale influences quantum tunnelling and Hawking radiation from spherically symmetric black holes, revealing modifications to temperature and black hole evaporation dynamics.

Contribution

It derives deformed Hamilton-Jacobi equations incorporating minimal length effects for scalars and fermions, and analyzes their impact on black hole thermodynamics.

Findings

Minimal length modifies Hawking temperature depending on black hole and particle properties

Black hole luminosity is affected by minimal length corrections

Black holes evaporate completely in infinite time with minimal length effects

Abstract

In this paper, we investigate effects of the minimal length on quantum tunnelling from spherically symmetric black holes using the Hamilton-Jacobi method incorporating the minimal length. We first derive the deformed Hamilton-Jacobi equations for scalars and fermions, both of which have the same expressions. The minimal length correction to the Hawking temperature is found to depend on the black hole's mass and the mass and angular momentum of emitted particles. Finally, we calculate a Schwarzschild black hole's luminosity and find the black hole evaporates to zero mass in infinite time.