Singularity: Raychaudhuri Equation once again

Abstract

I first recount Raychaudhuri's deep involvement with the singularity problem in general relativity. I then argue that precisely the same situation has arisen today in loop quantum cosmology as obtained when Raychaudhuri discovered his celebrated equation. We thus need a new analogue of the Raychaudhuri equation in quantum gravity.

11 pages, Contribution to Special issue of Pramana on Raychaudhuri Equation at Cross-roads, edited by Naresh Dadhich, Pankaj Joshi and Probir Roy

References in corpus (6)

• Quantum Nature of the Big Bang
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Loop Quantum Cosmology
• Black hole evaporation: A paradigm
• Group Integral Techniques for the Spinfoam Graviton Propagator
• A singularity theorem based on spatial averages

Cited by in corpus (10)

• Are loop quantum cosmos never singular?
• Covariant kinematics and gravitational bounce in Finsler space-times
• Focusing of geodesic congruences in an accelerated expanding Universe
• How the Big Bang Ends up Inside a Black Hole
• Raychaudhuri's equation and aspects of relativistic charged collapse
• Some generalizations of the Raychaudhuri equation
• The peculiar Raychaudhuri equation
• Raychaudhuri equation with zero point length
• FLRW cosmology in Weyl-Integrable Space-Time
• Gravitational convergence, shear deformation and rotation of magnetic forcelines