Raychaudhuri Equation,Geometrical Flows and Geometrical Entropy
General Relativity and Quantum Cosmology
2021-04-13 v1
Abstract
Raychaudhuri equation is derived by assuming geometric flow in spacetime M of n+1 dimensions. The equation turns into a harmonic oscillator form under suitable transformations.Thereby a relation between geometrical entropy and mean geodesic deviation is established. This has a connection to chaos theory where the trajectories diverge exponentially. We discuss its application to cosmology and black holes. Thus we present a connection between chaos theory and general relativity.
Keywords
Cite
@article{arxiv.2104.05419,
title = {Raychaudhuri Equation,Geometrical Flows and Geometrical Entropy},
author = {Lawrence Paul Horwitz and Vishnu S Namboothiri and Gautham Varma K and Asher Yahalom and Yossi Strauss and Jacob Levitan},
journal= {arXiv preprint arXiv:2104.05419},
year = {2021}
}