Fermion's tunnelling with effects of quantum gravity

Abstract

In this paper, using Hamilton-Jacobi method, we address the tunnelling of fermions in a 4-dimensional Schwarzschild spacetime. Base on the generalized uncertainty principle, we introduce the influence of quantum gravity. After solving the equation of motion of the spin 1/2 field, we derive the corrected Hawking temperature. It turns out that the correction depends not only on the black hole's mass but also on the mass (energy) of emitted fermions. It is of interest that, in our calculation, the quantum gravity correction decelerates the temperature increase during the radiation explicitly. This observation then naturally leads to the remnants in black hole evaporation. Our calculation shows that the residue mass is $\gtrsim M_p/{\beta }_0$, where $M_p$ is the Planck mass and ${\beta }_0$ is a dimensionless parameter accounting for quantum gravity effects. The evaporation singularity is then avoided.

V2, 14 pages, references added, typos corrected

References in corpus (17)

• Discreteness of Space from the Generalized Uncertainty Principle
• Charged Fermions Tunnelling from Kerr-Newman Black Holes
• Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
• Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Dirac particles tunneling from BTZ black hole
• Hawking radiation of Dirac particles via tunnelling from rotating black holes in de Sitter spaces
• Fermion Tunneling from Dynamical Horizons
• Hawking temperature from tunnelling formalism
• Thermal radiation of various gravitational backgrounds
• Natural Cutoffs and Quantum Tunneling from Black Hole Horizon
• Problems with Tunneling of Thin Shells from Black Holes
• Quantum Gravity and Recovery of Information in Black Hole Evaporation
• Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black Holes
• Thermodynamics of a black hole based on a generalized uncertainty principle
• No Existence of Black Holes at LHC Due to Minimal Length in Quantum Gravity
• Quantum Black Hole and the Modified Uncertainty Principle

Cited by in corpus (31)

• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• The GUP effect on Hawking Radiation of the 2+1 dimensional Black Hole
• 30 years in: Quo vadis generalized uncertainty principle?
• Entangled Particles Tunneling From a Schwarzschild Black Hole immersed in an Electromagnetic Universe with GUP
• Tunneling of Massive Vector Particles under the Influence of Quantum Gravity
• Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
• Gravity Effects on Hawking Radiation from Charged Black Strings in Rastall Theory
• Remarks on remnants by fermions' tunnelling from black strings
• Dirac particles' tunnelling from 5-dimensional rotating black strings influenced by the generalized uncertainty principle
• Quantum gravity correction to Hawking radiation of the 2+1 dimensional wormhole
• Constraining the Generalized Uncertainty Principle with the light twisted by rotating black holes and M87*
• Quantum Gravity Effect on the Tunneling Particles from 2+1 dimensional New-type Black Hole
• Hawking radiation of charged rotating AdS black holes in conformal gravity for charged massive particles, complex scalar and Dirac particles
• Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Static Frame
• Quantum tunneling from high dimensional Gödel black hole
• The Effects of Minimal Length, Maximal Momentum and Minimal Momentum in Entropic Force
• The GUP effect on tunnelling of massive vector bosons from the 2+1 dimensional black hole
• On the difference between Poincaré and Lorentz gravity
• The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
• Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Free-fall Frame
• Gravitational Analysis of Einstein-Non-Linear-Maxwell-Yukawa Black Hole under the Effect of Newman-Janis Algorithm
• Minimal Length Effects on Entanglement Entropy of Spherically Symmetric Black Holes in Brick Wall Model
• Hawking radiation of massive bosons via tunneling from black strings
• Deformed Hamilton-Jacobi Method in Covariant Quantum Gravity Effective Models
• Thermodynamic phase transition of a Schwarzschild black hole with global monopole under GUP
• Free-fall Rainbow BTZ Black Hole
• Hawking radiation of scalar particles and fermions from squashed Kaluza-Klein black holes based on a generalized uncertainty principle
• Quantum gravity corrections to the tunneling radiation of scalar particles
• Remark on Remnant and Residue Entropy with GUP
• Ideal Quantum Gases with Planck Scale Limitations
• Minimal Length Effects on Motion of a Particle in Rindler Space