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Singularities in Quantum Corrected Space-times

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arxiv 2003.04220 v2 pith:3G5BVC62 submitted 2020-03-09 hep-th gr-qc

Singularities in Quantum Corrected Space-times

classification hep-th gr-qc
keywords curvaturequantumcorrectionseffectivefreeinvariantsleadingorder
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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