Mohajan, Haradhan (2013): SpaceTime Singularities and Raychaudhuri Equations. Published in: Journal of Natural Sciences , Vol. 1, No. 2 (31. December 2013): pp. 1830.

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Abstract
Raychaudhuri equations play important roles to describe the gravitational focusing and spacetime singularities. Amal Kumar Raychaudhuri established it in 1955 to describe gravitational focusing properties in cosmology. When the star is heavier than a few solar masses, it could undergo an endless gravitational collapse without achieving any equilibrium state. The final outcome of gravitational collapse of a massive star must necessarily be a black hole which covers the resulting spacetime singularity and causal message from the singularity cannot reach the external observer at infinity. In this article Raychaudhuri equations are derived with the help of general relativity and topological properties. An attempt has been taken here to describe gravitational focusing and spacetime singularities in some detail with easier mathematical calculations.
Item Type:  MPRA Paper 

Original Title:  SpaceTime Singularities and Raychaudhuri Equations 
English Title:  SpaceTime Singularities and Raychaudhuri Equations 
Language:  English 
Keywords:  Gravitational focusing, Raychaudhuri equations, singularities. 
Subjects:  C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods 
Item ID:  54069 
Depositing User:  Haradhan Kumar Mohajan 
Date Deposited:  03. Mar 2014 01:36 
Last Modified:  03. Mar 2014 01:52 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/54069 