Generalization of Bosonic Quantum Tunneling with Quantum Effects

Abstract

The Hawking radiation via quantum tunneling process for scalar particles in (3 + 1) and (2 + 1) dimensional BHs is studied by considering Hamilton-Jacobi technique and WKB method. We obtain the required tunneling rate of emitted particles and recover the general form of Hawking temperatures, TˆH. Moreover, by utilizing modified Klein Gordon equation, we analyze the quantum corrected tunneling rate and corrected temperatures, Tˆ eˆ−Hˆ for spin-0 particles in (3 + 1) and (2 + 1) dimensional BHs.