Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes

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.

arXiv comment18 pages

References in corpus (48)

• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
• Particle production and complex path analysis
• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• Self-Interaction Correction to Black Hole Radiance
• Hawking Radiation as Tunneling for Extremal and Rotating Black Holes
• Tunnelling, Temperature and Taub-NUT Black Holes
• Hawking Spectrum and High Frequency Dispersion
• Effect of Self-Interaction on Charged Black Hole Radiance
• Hawking temperature in the tunneling picture
• Radiation via Tunneling from a de Sitter Cosmological Horizon
• Signatures in the Planck Regime
• Quantum Tunneling and Back Reaction
• Noncommutative Black Hole Thermodynamics
• Hawking Radiation as Tunneling through the Quantum Horizon
• Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Non-commutative geometry inspired higher-dimensional charged, black holes
• Temporal contribution to gravitational WKB-like calculations
• Black Hole Remnants and Dark Matter
• Subtleties in the quasi-classical calculation of Hawking radiation
• Semiclassical Corrections to the Bekenstein-Hawking entropy of the BTZ Black Hole via Self-Gravitation
• Black hole thermodynamics with generalized uncertainty principle
• Thermal radiation of various gravitational backgrounds
• How classical are TeV-scale black holes?
• Comments on anomaly versus WKB/tunneling methods for calculating Unruh radiation
• Black hole thermodynamics with generalized uncertainty principle
• Remarks on Hawking radiation as tunneling from the BTZ black holes
• Generalised Uncertainty Principle, Remnant Mass and Singularity Problem in Black Hole Thermodynamics
• Trans-Planckian Effects in Inflationary Cosmology and the Modified Uncertainty Principle
• Natural Cutoffs and Quantum Tunneling from Black Hole Horizon
• Problems with Tunneling of Thin Shells from Black Holes
• Observing remnants by fermions' tunneling
• Thermodynamics of a black hole based on a generalized uncertainty principle
• Quantum Black Hole in the Generalized Uncertainty Principle Framework
• Noncommutative Schwarzschild Black Hole and Area Law
• No Existence of Black Holes at LHC Due to Minimal Length in Quantum Gravity
• Black Hole Entropy and the Modified Uncertainty Principle: A heuristic analysis
• Remnants, fermions' tunnelling and effects of quantum gravity
• Hawking Radiation as Tunneling: the D-dimensional rotating case
• Fermion's tunnelling with effects of quantum gravity
• Modified Dispersion Relation, Photon's Velocity, and Unruh Effect
• Black Hole Entropy with minimal length in Tunneling formalism
• Tunnelling from black holes and tunnelling into white holes
• The spectrum of strings on BTZ black holes and spectral flow in the SL(2,R) WZW model
• Quantum Black Hole and the Modified Uncertainty Principle
• Remarks on remnants by fermions' tunnelling from black strings
• Deformed Hamilton-Jacobi Method in Covariant Quantum Gravity Effective Models

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