Asymptotic Safety, Singularities, and Gravitational Collapse
arXiv:1008.2768 · doi:10.1016/j.physletb.2010.10.060
Abstract
Asymptotic safety (an ultraviolet fixed point with finite-dimensional critical surface) offers the possibility that a predictive theory of quantum gravity can be obtained from the quantization of classical general relativity. However, it is unclear what becomes of the singularities of classical general relativity, which, it is hoped, might be resolved by quantum effects. We study dust collapse with a running gravitational coupling and find that a future singularity can be avoided if the coupling becomes exactly zero at some finite energy scale. The singularity can also be avoided (pushed off to infinite proper time) if the coupling approaches zero sufficiently rapidly at high energies. However, the evolution deduced from perturbation theory still implies a singularity at finite proper time.
6 pages, latex. Version to appear in Physics Letters B
References in corpus (11)
- Exact evolution equation for the effective potential
- The Confrontation between General Relativity and Experiment
- Nonperturbative Evolution Equation for Quantum Gravity
- The Confrontation between General Relativity and Experiment
- Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
- The Asymptotic Safety Scenario in Quantum Gravity -- An Introduction
- Asymptotic Safety of Gravity Coupled to Matter
- Contraints on Matter from Asymptotic Safety
- Gravitational Correction to Running of Gauge Couplings
- Asymptotically Safe Inflation
- Grand unification and enhanced quantum gravitational effects
Cited by in corpus (33)
- The nonperturbative functional renormalization group and its applications
- Renormalisation group and the Planck scale
- Non-singular quantum-inspired gravitational collapse
- Classical collapse to black holes and quantum bounces: A review
- Black holes within Asymptotic Safety
- Asymptotically safe cosmology - a status report
- Structural aspects of asymptotically safe black holes
- Curvature dependence of quantum gravity
- Black hole shadow of a rotating scale--dependent black hole
- Towards a Non-singular Paradigm of Black Hole Physics
- Singularity-free gravitational collapse and asymptotic safety
- Non-polynomial Lagrangian approach to Regular Black Holes
- Singularity avoidance in quantum-inspired inhomogeneous dust collapse
- Asymptotically Safe gravity and non-singular inflationary Big Bang with vacuum birth
- Avoidance of singularities in asymptotically safe Quantum Einstein Gravity
- Accretion disk around a Schwarzschild black hole in asymptotic safety
- Black Holes in Asymptotically Safe Gravity
- Cosmological constant problem: deflation during inflation
- A solution of the dark energy and its coincidence problem based on local antigravity sources without fine-tuning or new scales
- Singularity formation in asymptotically safe cosmology with inhomogeneous equation of state
- Asymptotically safe phantom cosmology
- Quantum Hair During Gravitational Collapse
- Five-dimensional scale-dependent black holes with constant curvature and Solv horizons
- Gravitational Collapse without Singularity Formation in Brans-Dicke Theory
- Entropic force, running gravitational coupling and future singularities
- Gravitational renormalization of quantum field theory
- Gravitational collapse of Hagedorn fluids
- Non-Singular Collapse Scenario From Matter-Curvature Coupling
- Black holes in asymptotic safety with higher derivatives: accretion and stability analysis
- Regular Black Hole Cores via Gravitational Evanescence of Collapsing Matter
- Asymptotic Safety and the Cosmic Coincidence Problem
- Renormalization group approaches to Quantum Gravity and Tensions in Modern Cosmology
- Charting GLOBs in Asymptotically Safe Gravity