Raychaudhuri equation in scalar–tensor theory
Shibendu Gupta Choudhury, Ananda Dasgupta, Narayan Banerjee
Abstract
Implications of the Raychaudhuri equation in focusing of geodesic congruences are studied in the framework of scalar–tensor theory of gravity. Specifically, we investigate the Brans–Dicke theory and Bekenstein’s scalar field theory. In both of these theories, we deal with a static spherically symmetric distribution and a spatially homogeneous and isotropic cosmological model as specific examples. We find that it is possible to violate the convergence condition under reasonable physical assumptions. This leads to the possibility of avoiding a singularity.
Topics & Concepts
GeodesicCongruence relationIsotropyMathematicsScalar (mathematics)Mathematical physicsHomogeneousPhysicsConvergence (economics)Distribution (mathematics)Scalar fieldField (mathematics)Congruence (geometry)Potential theoryMathematical analysisField theory (psychology)Space (punctuation)Continuum hypothesisOrthogonalityTheoretical physicsDomain (mathematical analysis)Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical Physics