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arXiv · 2409.13719

Classical and quantum analysis of gravitational singularity from Raychaudhuri equation

Madhukrishna Chakraborty·Subenoy Chakraborty
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Abstract

The present work deals with the Raychaudhuri equation (RE) to examine the space-time singularity both from classical and quantum point of view. The RE has been looked upon in terms of a classical linear Harmonic oscillator and Focusing theorem has been studied. Also, the Raychaudhuri scalar has been shown to affect the convergence and singularity formation in Black-holes and cosmology. Finally, resolution of initial big-bang singularity has been attempted quantum mechanically in two ways namely by canonical quantization and by formulation of Bohmian trajectories.

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Madhukrishna Chakraborty, Subenoy Chakraborty. 2024-09-08. Classical and quantum analysis of gravitational singularity from Raychaudhuri equation. https://arxiv.org/abs/2409.13719

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