On the consequences of Raychaudhuri equation in Kantowski-Sachs space-time
Abstract
The paper aims to study the geometry and physics of the Raychaudhuri equation (RE) in the background of a homogeneous and anisotropic space-time described by Kantowski-Sachs (KS) metric. Role of anisotropy/shear in the context of convergence and possible avoidance of singularity has been analyzed subject to a physically motivated constraint. Moreover, using a suitable transformation the first order RE has been converted to a second order differential equation analogous to a Harmonic Oscillator and criterion for convergence has been shown to be associated with the time varying frequency of the Oscillator. Finally, the paper points out a geometric and physical notion of anisotropy along with their corresponding behavior towards convergence.
Keywords
Cite
@article{arxiv.2312.11134,
title = {On the consequences of Raychaudhuri equation in Kantowski-Sachs space-time},
author = {Madhukrishna Chakraborty and Subenoy Chakraborty},
journal= {arXiv preprint arXiv:2312.11134},
year = {2023}
}
Comments
16 pages, 1 figures