Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-11-23
Pramana69:49,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
35 pages, two figures, to appear in the special issue of Pramana dedicated to the memory of A. K. Raychaudhuri
Scientific paper
10.1007/s12043-007-0110-9
We present a brief review on the Raychaudhuri equations. Beginning with a summary of the essential features of the original article by Raychaudhuri and subsequent work of numerous authors, we move on to a discussion of the equations in the context of alternate non--Riemannian spacetimes as well as other theories of gravity, with a special mention on the equations in spacetimes with torsion (Einstein--Cartan--Sciama--Kibble theory). Finally, we give an overview of some recent applications of these equations in General Relativity, Quantum Field Theory, String Theory and the theory of relativisitic membranes. We conclude with a summary and provide our own perspectives on directions of future research.
Kar Sayan
SenGupta Soumitra
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