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.

v1: 10 pages, 3 figures; v2: 12 pages, clarifications & discussions added, matches version accepted for publication in CQG

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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
• What happens to topological invariants (and black holes) in singularity-free theories?
• Singularity and differentiability at the origin of static and spherically symmetric black holes
• Regular Black Hole Cores via Gravitational Evanescence of Collapsing Matter
• Charting GLOBs in Asymptotically Safe Gravity