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Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity

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arxiv 2011.11815 v3 pith:A5KKC7WB submitted 2020-11-24 gr-qc

Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity

classification gr-qc
keywords singularityequationblackgravityholeloopquantumraychaudhuri
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We derive loop quantum gravity corrections to the Raychaudhuri equation in the interior of a Schwarzschild black hole and near the classical singularity. We show that the resulting effective equation implies defocusing of geodesics due to the appearance of repulsive terms. This prevents the formation of conjugate points, renders the singularity theorems inapplicable, and leads to the resolution of the singularity for this spacetime.

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Cited by 3 Pith papers

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