Classical and quantum analysis of gravitational singularity from Raychaudhuri equation
arXiv:2409.13719
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.
11 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:2402.17799