Quantum Gravity Fluctuations in the Timelike Raychaudhuri Equation
Sang-Eon Bak, Maulik Parikh, Sudipta Sarkar, and Francesco Setti
TL;DR
This paper derives a quantum-gravitationally modified timelike Raychaudhuri equation by analyzing how perturbative quantum fluctuations of the spacetime metric affect geodesic congruences, revealing increased convergence and caustic formation.
Contribution
It introduces a novel quantum correction to the classical Raychaudhuri equation considering metric fluctuations, advancing understanding of quantum gravity effects on spacetime geometry.
Findings
Quantum fluctuations increase geodesic convergence.
Enhanced formation of caustics in quantum gravity.
Modified Raychaudhuri equation incorporating quantum effects.
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.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories