A kinematical approach to gravitational lensing using new formulae for refractive index and acceleration - Astrophysics > Astrophysics of GalaxiesReport as inadecuate




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Abstract: This paper uses the Schwarzschild metric to derive an effective refractiveindex and acceleration vector that account for relativistic deflection of lightrays, in an otherwise classical kinematic framework. The new refractive indexand the known path equation are integrated to give accurate results for traveltime and deflection angle, respectively. A new formula for coordinateacceleration is derived which describes the path of a massless test particle inthe vicinity of a spherically symmetric mass density distribution. A standardray-shooting technique is used to compare the deflection angle and time delaypredicted by this new formula with the previously calculated values, and withstandard first order approximations. Finally, the ray shooting method is usedin theoretical examples of strong and weak lensing, reproducing knownobserver-plane caustic patterns for multiple masses.



Author: S.J. Walters, L.K. Forbes, P.D. Jarvis

Source: https://arxiv.org/



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