Singularity: Raychaudhuri equation once again

 

NARESH DADHICH

Inter-University Centre for Astronomy and Astrophysics,

Post Bag 4, Pune 411 007, India

E-mail: nkd@iucaa.ernet.in

 

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.

 

Keywords. Cosmology; Raychaudhuri equation; Universe; quantum

gravity; loop quantum gravity; loop quantum cosmology.

 

PACS Nos 04.20.Jb; 04.2.Cv; 98.80.Dr