Gravitational Lensing In Case of Massive Particles

TL;DR

This paper extends gravitational lensing calculations from light rays to massive particles, analyzing scattering cross sections and other quantities, with applications to Schwarzschild and extended black holes.

Contribution

It introduces a method to analyze gravitational lensing for massive particles, broadening the scope beyond light rays and applying to various black hole metrics.

Findings

Lensing calculations for massive particles are feasible and yield interesting results.

Scattering cross sections for massive particles are derived and analyzed.

The approach applies to a wide range of black hole geometries.

Abstract

Gravitation lensing calculations, which are generally done for light ray, are extended to that for a massive particle. Many interesting results were observed. We discuss the scattering cross section along-with many consequential quantities here. In particular, the case of Schrwarzschild metric was taken as illustration, though the analysis applies to a wide range of cases, such as extended black holes.