Bak, Sang-EonSang-EonBakParikh, MaulikMaulikParikhSarkar, SudiptaSudiptaSarkarSetti, FrancescoFrancescoSetti2025-08-222025-08-222022-12-012331-8422https://arxiv.org/abs/2212.14010https://d8.irins.org/handle/IITG2025/18509We consider a timelike geodesic congruence in the presence of perturbative quantum fluctuations of the spacetime metric. We calculate the change in the volume of a bundle of geodesics due to such fluctuations and thereby obtain a quantum-gravitationally modified timelike Raychaudhuri equation. Quantum gravity generically increases the convergence of congruences and the production of caustics.en-USRaychaudhuri equationGeodesic congruenceQuantum fluctuationsSpacetime metricQuantum gravitye-Printe-Print123456789/615