Singularities in Quantum Corrected Space-times

Abstract

In this paper we consider a static and regular fluid generating a locally spherically symmetric and time-independent space-time and calculate the leading quantum corrections to the metric to first order in curvature. Starting from a singularity free classical solution of general relativity, we show that singularities can be introduced in the curvature invariants by quantum gravitational corrections calculated using an effective field theory approach to quantum gravity. We identify non-trivial conditions that ensure that curvature invariants remain singularity free to leading order in the curvature expansion of the effective action.

10 pages

References in corpus (4)

• Regular black holes with asymptotically Minkowski cores
• Non-local quantum effects in cosmology 1: Quantum memory, non-local FLRW equations and singularity avoidance
• Quantum Gravitational Corrections to a Star Metric and the Black Hole Limit
• Singularity avoidance in quantum gravity

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• Probing Quantum Gravity in Stellar Spacetimes: Phenomenological Insights
• Singularity Avoidance in Gravitational Collapse of an Inhomogeneous Fluid in Rastall Gravity