Application of the Raychaudhuri Equation in Gravitational Systems

TL;DR

This paper explores how the Raychaudhuri equation can be applied to understand spacetime singularities and the universe's accelerated expansion without exotic matter, aiming to provide classical explanations for these phenomena.

Contribution

It offers new insights into classical approaches to singularities and cosmic acceleration using the Raychaudhuri equation, addressing unresolved issues in gravitational physics.

Findings

Potential classical routes from spacetime singularities

Explanation of accelerated expansion without exotic matter

Enhanced understanding of gravitational dynamics

Abstract

The works reported in this thesis primarily address the application of the Raychaudhuri equation in two intriguing problems in gravitational physics. These problems still lack universally accepted explanations. The first problem is related to the existence of spacetime singularities. We aim to find possible escape routes from these problematic singularities at the classical level. The second problem is associated with the late time accelerated expansion of the Universe. In this context, our goal is to find a possible explanation of this phenomenon without assuming the presence of any exotic contribution to the stress-energy tensor.