I want to learn about Raychaudhuri equation and its applications. I already have looked into papers by Kar & Sengupta, Dadhich but I want more rigorous treatment than these papers. Would you please mention some references?
Chapter 2 of Eric Poissons book, The Relativists Toolkit: The Mathematics of Black Holes apparently has a good discussion.
You might also find interesting this semi-technical exposition by John Baez which is where I first heard of Raychauduri equation.