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Classical and quantum analysis of gravitational singularity from Raychaudhuri equation.

Authors :
Chakraborty, Madhukrishna
Chakraborty, Subenoy
Source :
Physics Letters A. Nov2024, Vol. 525, pN.PAG-N.PAG. 1p.
Publication Year :
2024

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03759601
Volume :
525
Database :
Academic Search Index
Journal :
Physics Letters A
Publication Type :
Academic Journal
Accession number :
180821782
Full Text :
https://doi.org/10.1016/j.physleta.2024.129883