Fermions tunnelling with quantum gravity correction

Abstract

Quantum gravity correction is truly important to study tunnelling process of black hole. Base on the generalized uncertainty principle, we investigate the influence of quantum gravity and the result tell us that the quantum gravity correction accelerates the evaporation of black hole. Using corrected Dirac equation in curved spacetime and Hamilton-Jacobi method, we address the tunnelling of fermions in a 4-dimensional Schwarzschild spacetime. After solving the equation of motion of the spin 1/2 field, we obtain the corrected Hawking temperature. It turns out that the correction depends not only on the mass of black hole but aslo on the mass of emitted fermions. In our calculation, the quantum gravity correction accelerates the increasing of Hawking temperature during the radiation explicitly. This correction leads to the increasing of the evaporation of black hole.

5pages

References in corpus (24)

• Hawking Radiation as Tunneling
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Quantum gravity and minimum length
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Discreteness of Space from the Generalized Uncertainty Principle
• Nonpointlike Particles in Harmonic Oscillators
• Minimal Length Uncertainty Relation and Ultraviolet Regularisation
• Fermions Tunnelling from Black Holes
• Effect of Self-Interaction on Charged Black Hole Radiance
• Hawking radiation as tunneling from the Kerr and Kerr-Newman black holes
• Signatures in the Planck Regime
• Charged particles' tunnelling from the Kerr-Newman black hole
• Dirac particles tunneling from BTZ black hole
• Hawking radiation of Dirac particles via tunnelling from rotating black holes in de Sitter spaces
• (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
• Fermion Tunneling from Dynamical Horizons
• Hawking temperature from tunnelling formalism
• Self-consistency in Theories with a Minimal Length
• Generalised Uncertainty Principle, Remnant Mass and Singularity Problem in Black Hole Thermodynamics
• Natural Cutoffs and Quantum Tunneling from Black Hole Horizon
• Observing remnants by fermions' tunneling
• Remnants, fermions' tunnelling and effects of quantum gravity
• Remarks on remnants by fermions' tunnelling from black strings
• Dirac particles' tunnelling from 5-dimensional rotating black strings influenced by the generalized uncertainty principle

Cited by in corpus (6)

• The GUP effect on Hawking Radiation of the 2+1 dimensional Black Hole
• Quantum gravity effect on the Hawking radiation of charged rotating BTZ black hole
• Quantum gravity correction to Hawking radiation of the 2+1 dimensional wormhole
• Quantum Gravity Effect on the Tunneling Particles from 2+1 dimensional New-type Black Hole
• The GUP effect on tunnelling of massive vector bosons from the 2+1 dimensional black hole
• Effect of GUP on Hawking radiation of BTZ black hole