Quantum gravitational optics: Effective Raychaudhuri equation

Derivation of the Raychaudhuri Equation

As a homage to A K Raychaudhuri, I derive in a straightforward way his famous equation and also indicate the problems he was last engaged in. PACS numbers: 04.20.Jb, 04.2.Cv, 98.80 Dr Let us consider a collection of bodies falling freely under their own gravity. They would all attract each other and would tend to converge. If they are expanding or contracting and their gravitational potential e...

Singularity: Raychaudhuri Equation once again

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. PACS numbers: 04.20.Jb, 04.2.Cv, 98.80 Dr 1 Singularity and AKR ...

Quantum Noise in Quantum Optics: the Stochastic Schrödinger Equation

Lecture Notes for the Les Houches Summer School LXIII on Quantum Fluctuations in July 1995: “Quantum Noise in Quantum Optics: the Stochastic Schroedinger Equation” to appear in Elsevier Science Publishers B.V. 1997, edited by E. Giacobino and S. Reynaud. 0.

Gravitational-wave probe of effective quantum gravity

On a Raychaudhuri equation for hot gravitating flu- ids

We generalize the Raychaudhuri equation for the evolution of a self gravitating fluid to include an Abelian and non-Abelian hybrid magneto fluid at a finite temperature. The aim is to utilize this equation for investigating the dynamics of astrophysical high temperature Abelian and non-Abelian plasmas.