English

Quantum Gravity Fluctuations in the Timelike Raychaudhuri Equation

General Relativity and Quantum Cosmology 2023-05-29 v2 High Energy Physics - Theory

Abstract

We 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.

Keywords

Cite

@article{arxiv.2212.14010,
  title  = {Quantum Gravity Fluctuations in the Timelike Raychaudhuri Equation},
  author = {Sang-Eon Bak and Maulik Parikh and Sudipta Sarkar and Francesco Setti},
  journal= {arXiv preprint arXiv:2212.14010},
  year   = {2023}
}

Comments

12 pages, 2 figures; v2. published version

R2 v1 2026-06-28T07:55:08.903Z