Effects of quantum gravity on black holes

Abstract

In this review, we discuss effects of quantum gravity on black hole physics. After a brief review of the origin of the minimal observable length from various quantum gravity theories, we present the tunneling method. To incorporate quantum gravity effects, we modify the Klein-Gordon equation and Dirac equation by the modified fundamental commutation relations. Then we use the modified equations to discuss the tunneling radiation of scalar particles and fermions. The corrected Hawking temperatures are related to the quantum numbers of the emitted particles. Quantum gravity corrections slow down the increase of the temperatures. The remnants are observed as $M_{Res}\gtrsim \frac{M_p}{\sqrt{{\beta }_0}}$. The mass is quantized by the modified Wheeler-DeWitt equation and is proportional to $n$ in quantum gravity regime. The thermodynamical property of the black hole is studied by the influence of quantum gravity effects.

Invited review for Int. J. Mod. Phys. A, 48 pages

References in corpus (31)

• Universality of Quantum Gravity Corrections
• Discreteness of Space from the Generalized Uncertainty Principle
• Fermions Tunnelling from Black Holes
• Tunnelling, Temperature and Taub-NUT Black Holes
• Charged Fermions Tunnelling from Kerr-Newman Black Holes
• Quantum Tunneling and Back Reaction
• Temporal contribution to gravitational WKB-like calculations
• Hawking radiation of Dirac particles via tunnelling from rotating black holes in de Sitter spaces
• Subtleties in the quasi-classical calculation of Hawking radiation
• Hydrogen-atom spectrum under a minimal-length hypothesis
• Fermion Tunneling from Dynamical Horizons
• Fermion Tunneling Beyond Semiclassical Approximation
• Quantum Tunneling and Trace Anomaly
• Thermal radiation of various gravitational backgrounds
• Hawking temperature from tunnelling formalism
• Hawking radiation of Dirac particles via tunneling from Kerr black hole
• Dirac particles' tunnelling from black rings
• Remarks on Hawking radiation as tunneling from the BTZ black holes
• Fermions tunnelling from the charged dilatonic black holes
• Problems with Tunneling of Thin Shells from Black Holes
• Black Hole Thermodynamics and the Factor of 2 Problem
• Hawking Radiation, Effective Actions and Covariant Boundary Conditions
• Black hole spectroscopy via adiabatic invariance
• Hydrogen atom in momentum space with a minimal length
• Insights and possible resolution to the information loss paradox via the tunneling picture
• Hawking radiation as tunneling for spherically symmetric black holes: A generalized treatment
• Hawking Radiation as Quantum Tunneling in Rindler Coordinate
• Quantum Black Hole and the Modified Uncertainty Principle
• Charged fermions tunneling from accelerating and rotating black holes
• Quantum Gravity Corrections and Entropy at the Planck time
• Remarks on remnants by fermions' tunnelling from black strings

Cited by in corpus (4)

• Tunneling of Massive Vector Particles from Types of BTZ-like Black Holes
• Quantum Tunneling and Quasinormal Modes in the Spacetime of Alcubierre Warp Drive
• Tunneling and thermodynamics evolution of the magnetized Ernst-like black hole
• Can Gibbons-Hawking Radiation and Inflation Arise Due to Spacetime Quanta?