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

Understand

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.