Self Similar Collapse and the Raychaudhuri equation

Abstract

The role of the Raychaudhuri equation in studying gravitational collapse is discussed. A self-similar distribution of a scalar field along with an imperfect fluid in a conformally flat spacetime is considered for the purpose. The general focusing condition is found out and verified against the available exact solutions. The connection between the Raychaudhuri equation and the critical phenomena is also explored.

arXiv comment7 pages, to appear in EPJC

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• Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory
• From Geometry to Observation: Gravitational Waves and the Raychaudhuri Equation
• Torsional four-fermion interaction and the Raychaudhuri equation
• Role of a magnetic field in the context of inhomogeneous gravitational collapse