Raychaudhuri Equation and Weyl-Driven Shear: A Weak-Field Approach to Lensing and Gravitational Waves

Abstract

The letter studies phenomena like gravitational wave propagation and gravitational lensing using the celebrated Raychaudhuri equation (RE) in the weak field limit. Newtonian analogue of Relativistic RE has been explored. In doing so, role of shear has been found to be extremely important in explaining these phenomena. Consequently, the RE for shear has been used in course of the study and importance of Weyl curvature tensor in lensing and gravity wave propagation has been explicitly shown using a damped harmonic oscillator approach.

7 pages

References in corpus (9)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Gravitational Lensing
• The Raychaudhuri equations: a brief review
• Correspondence between grey-body factors and quasinormal frequencies for rotating black holes
• Ringdown stability: greybody factors as stable gravitational-wave observables
• A review on analytical studies in Gravitational Lensing
• The classical and quantum implications of the Raychaudhuri Equation in f(T)-gravity
• The Raychaudhuri Equation in inhomogeneous FLRW space-time : A $f(R)$-gravity model
• Black Hole singularity and its possible mitigations: Reformulation of Penrose Singularity theorem using null Raychaudhuri matrix

Cited by in corpus (1)

• Gauge-covariant Raychaudhuri dynamics for spin-nondegenerate Lorentz-violating congruences