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A revisit to classical and quantum aspects of Raychaudhuri equation and possible resolution of singularity

Subenoy Chakraborty, Madhukrishna Chakraborty

2024International Journal of Geometric Methods in Modern Physics15 citationsDOI

Abstract

In this review, we provide a concrete overview of the Raychaudhuri equation, Focusing Theorem and convergence conditions in a plethora of backgrounds and discuss the consequences. We also present various classical and quantum approaches suggested in the literature that could potentially mitigate the initial big-bang singularity and the black-hole singularity.

Topics & Concepts

SingularityQuantumMathematical physicsPhysicsTheoretical physicsMathematicsQuantum mechanicsMathematical analysisNonlinear Waves and SolitonsQuantum chaos and dynamical systemsSpectral Theory in Mathematical Physics
A revisit to classical and quantum aspects of Raychaudhuri equation and possible resolution of singularity | Litcius