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.

7 pages, to appear in EPJC

References in corpus (5)

• Collapsing shear-free perfect fluid spheres with heat flow
• Critical Behavior in the Gravitational Collapse of a Scalar Field with Angular Momentum in Spherical Symmetry
• Self-similar scalar field collapse
• Raychaudhuri's equation and aspects of relativistic charged collapse
• Gravitational Collapse of an Imperfect Non Adiabatic Fluid