Suppression of spacetime singularities in quantum gravity

Abstract

We investigate the requirement of suppressing spacetime geometries with a curvature singularity via destructive interference in the Lorentzian gravitational path integral as a constraint on the microscopic action for gravity. Based on simple examples of static spherically symmetric spacetimes, we demonstrate that complete singularity suppression in the path integral stipulates that the action for gravity be of infinite order in the curvature.

arXiv commentv1: 10 pages, 3 figures; v2: 12 pages, clarifications & discussions added, matches version accepted for publication in CQG

References in corpus (60)

• The Confrontation between General Relativity and Experiment
• Formation and evaporation of non-singular black holes
• Towards singularity and ghost free theories of gravity
• The Spin Foam Approach to Quantum Gravity
• Super-renormalizable Quantum Gravity
• Renormalization group improved black hole spacetimes
• Notes on non-singular models of black holes
• Quantum Gravity from Causal Dynamical Triangulations: A Review
• A Short Review of Loop Quantum Gravity
• Super-renormalizable & Finite Gravitational Theories
• Planck stars
• Some remarks on high derivative quantum gravity
• Lorentzian Quantum Cosmology
• Superrenormalizable quantum gravity with complex ghosts
• Spherically Symmetric Solutions in Higher-Derivative Gravity
• Hořava Gravity at a Lifshitz Point: A Progress Report
• Quadratic Gravity
• Not quite a black hole
• No smooth beginning for spacetime
• Super-renormalizable or Finite Lee-Wick Quantum Gravity
• Black holes and asymptotically safe gravity
• Quantum Gravity effects near the null black hole singularity
• A proper-time cure for the conformal sickness in quantum gravity
• Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
• No Rescue for the No Boundary Proposal
• Dynamical renormalization of black-hole spacetimes
• Perturbative unitarity of Lee-Wick quantum field theory
• The Real No-Boundary Wave Function in Lorentzian Quantum Cosmology
• Decorated tensor network renormalization for lattice gauge theories and spin foam models
• Black holes in an asymptotically safe gravity theory with higher derivatives
• Review of the No-Boundary Wave Function
• Quantum Improved Schwarzschild-(A)dS and Kerr-(A)dS Space-times
• Towards a phase diagram for spin foams
• Damped perturbations in the no-boundary state
• On the fate of singularities and horizons in higher derivative gravity
• On the geometry of the black-to-white hole transition within a single asymptotic region
• Towards conditions for black-hole singularity-resolution in asymptotically safe quantum gravity
• Singularity-free gravitational collapse and asymptotic safety
• Generalized ghost-free propagators in nonlocal field theories
• A Safe Beginning for the Universe?
• Effective delta sources and regularity in higher-derivative and ghost-free gravity
• Local Invariants Vanishing on Stationary Horizons: A Diagnostic for Locating Black Holes
• Avoidance of singularities in asymptotically safe Quantum Einstein Gravity
• Identification of black hole horizons using scalar curvature invariants
• Action principle selection of regular black holes
• Non-Singular Black Holes, the Cosmological Constant and Asymptotic Safety
• Cosmological consequences of a principle of finite amplitudes
• Formation and evaporation of quantum black holes from the decoupling mechanism in quantum gravity
• Partition function for a volume of space
• Scalar Polynomial Curvature Invariant Vanishing on the Event Horizon of Any Black Hole Metric Conformal to a Static Spherical Metric
• Higher-order regularity in local and nonlocal quantum gravity
• Form Factors in Quantum Gravity - contrasting non-local, ghost-free gravity and Asymptotic Safety
• Towards effective actions for the continuum limit of spin foams
• Finite Action Principle Revisited
• Fixed-Topology Lorentzian Triangulations: Quantum Regge Calculus in the Lorentzian Domain
• Existence of real time quantum path integrals
• Complex, Lorentzian, and Euclidean simplicial quantum gravity: numerical methods and physical prospects
• Finite Action Principle and Horava-Lifshitz Gravity: early universe, black holes and wormholes
• Scale-invariance at the core of quantum black holes
• Asymptotically nonlocal gravity

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• Regular black holes from pure gravity in four dimensions
• All $2D$ generalised dilaton theories from $d\ge 4$ gravities
• Weighing the curvature invariants
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