Effect of Spin-Torsion Interaction on Raychaudhuri Equation

Abstract

Raychaudhuri equation is generalized in the parameterized absolute parallelism geometry. This version of absolute parallelism is more general than the conventional one. The generalization takes into account the suggested interaction between the quantum spin of the moving elementary particle and the torsion of the background gravitational field. The generalized Raychaudhuri equation obtained contains some extra terms, depending on the torsion of space-time, that would have some effects on the singularity theorems of general relativity. Under a certain condition, this equation could be reduced to the original Raychaudhuri equation without any need for a vanishing torsion.

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References in corpus (4)

• A singularity-free space-time
• Motion of Spinning Particles in Gravitational Fields
• The Accelerating Expansion of the Universe and Torsion Energy
• Gravitomagnetic effect and spin-torsion coupling

Cited by in corpus (7)

• Covariant kinematics and gravitational bounce in Finsler space-times
• Focusing of geodesic congruences in an accelerated expanding Universe
• Raychaudhuri equation in spacetimes with torsion
• Raychaudhuri equations and gravitational collapse in Einstein-Cartan theory
• Kinematics in Metric-Affine Geometry
• Lagrangian Formulation of the Raychaudhuri Equation in Non-Riemannian Geometry
• Light propagation and optical scalars in torsion theories of gravity