Quantum Gravity Fluctuations in the Timelike Raychaudhuri Equation
arXiv:2212.14010 · doi:10.1007/JHEP05(2023)125
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.
12 pages, 2 figures; v2. published version
References in corpus (12)
- Signatures of the Quantization of Gravity at Gravitational Wave Detectors
- Quantum Mechanics of Gravitational Waves
- The Noise of Gravitons
- Noise and decoherence induced by gravitons
- Quantum Noise of Gravitons and Stochastic Force on Geodesic Separation
- Quantum signatures in nonlinear gravitational waves
- Quantum Singularities
- Quantum gravitational optics: Effective Raychaudhuri equation
- The Raychaudhuri equation for a quantized timelike geodesic congruence
- Quantum Gravity Corrections to the Fall of the Apple
- State-dependent graviton noise in the equation of geodesic deviation
- Bound on Quantum Fluctuations in Gravitational Waves from LIGO-Virgo