Raychaudhuri Equation,Geometrical Flows and Geometrical Entropy

Raychaudhuri Equation,Geometrical Flows and Geometrical Entropy

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 th...

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Veröffentlicht in:arXiv.org 2021-04
Hauptverfasser: Horwitz, Lawrence Paul, Namboothiri, Vishnu S, Gautham, Varma K, Yahalom, Asher, Strauss, Yossi, Levitan, Jacob
Format: Artikel
Sprache:eng
Schlagworte:
Chaos theory
Cosmology
Differential geometry
Entropy
Harmonic oscillators
Relativity
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Zusammenfassung: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.
ISSN:2331-8422