Fermions Tunneling from Higher-Dimensional Reissner-Nordstr\"om Black Hole: Semiclassical and Beyond Semiclassical Approximation

TL;DR

This paper investigates charged fermions tunneling from higher-dimensional Reissner-Nordström black holes, deriving Hawking temperature and entropy corrections using semiclassical and beyond semiclassical methods.

Contribution

It extends tunneling analysis to higher-dimensional charged black holes and calculates entropy beyond the semiclassical approximation.

Findings

Derived Hawking temperature for higher-dimensional Reissner-Nordström black holes.

Calculated entropy corrections beyond semiclassical approximation.

Analyzed fermions tunneling rates at the event horizon.

Abstract

Based on semiclassical tunneling method, we focus on charged fermions tunneling from higher-dimensional Reissner-Nordstr\"{o}m black hole. We first simplify the Dirac equation by semiclassical approximation, and then a semiclassical Hamilton-Jacobi equation is obtained. Using the Hamilton-Jacobi equation, we study the Hawking temperature and fermions tunneling rate at the event horizon of the higher-dimensional Reissner-Nordstr\"{o}m black hole spacetime. Finally, the correct entropy is calculation by the method beyond semiclassical approximation.