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Quantum gravity fluctuations in the timelike Raychaudhuri equation

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [2]
  1. Arizona State Univ., Tempe, AZ (United States); Arizona State Univ., Tempe, AZ (United States)
  2. Arizona State Univ., Tempe, AZ (United States)
  3. Indian Inst. of Technology (IIT), Gujarat (India)
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.
Research Organization:
Arizona State Univ., Tempe, AZ (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0019470
OSTI ID:
2421339
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 5 Vol. 2023; ISSN 1029-8479
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

References (17)

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The GUP and quantum Raychaudhuri equation journal June 2018
Bound on quantum fluctuations in gravitational waves from LIGO-Virgo journal March 2023
Noise and decoherence induced by gravitons journal February 2021
Signatures of the quantization of gravity at gravitational wave detectors journal August 2021
Quantum noise of gravitons and stochastic force on geodesic separation journal April 2022
Quantum singularities journal March 2023
Quantum gravity corrections to the fall of an apple journal March 2023
Quantum gravitational optics: Effective Raychaudhuri equation journal August 2006
Quantum Raychaudhuri equation journal April 2014
Quantum focusing conjecture journal March 2016
Quantum Mechanics of Gravitational Waves journal August 2021
State-dependent graviton noise in the equation of geodesic deviation journal January 2021
The Raychaudhuri equation for a quantized timelike geodesic congruence journal October 2021
The noise of gravitons journal July 2020
Quantum signatures in nonlinear gravitational waves journal December 2022

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