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arXiv · 2312.11134

On the consequences of Raychaudhuri equation in Kantowski-Sachs space-time

Madhukrishna Chakraborty·Subenoy Chakraborty
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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.

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Madhukrishna Chakraborty, Subenoy Chakraborty. 2023-12-18. On the consequences of Raychaudhuri equation in Kantowski-Sachs space-time. https://arxiv.org/abs/2312.11134

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