Particle motion and scattering in Finslerian Schwarzschild metric

TL;DR

This paper investigates particle trajectories and scattering phenomena around Schwarzschild black holes within Finsler geometry, specifically in Randers-Finsler space, revealing differences from traditional Riemannian models.

Contribution

It introduces a Finslerian approach to Schwarzschild spacetime, analyzing particle motion and scattering with a focus on Randers-Finsler geometry, which is a novel extension beyond Riemannian frameworks.

Findings

Qualitative analysis of potential energy near black holes in Finsler spacetime

Comparison of particle dynamics between Finsler and Riemannian Schwarzschild metrics

Calculation of black hole absorption cross section in Finsler geometry

Abstract

Finsler geometry is just riemannian geometry without the quadratic restriction[1]. In this paper, we study the motion of massive(non-zero rest mass) and massless particles for schwarzschild metric in finsler spacetime in the case of two dimensional Randers-Finsler space with unit positive flag curvature instead of two dimensional riemann sphere. We provide qualitative study of potential energy of particles at various distances near schwarzschild black hole and the results are then compared with schwarzschild metric in riemannian geometry. We will also describe the scattering of particles near schwarzschild black hole in finsler spacetime by finding capture cross section of absorption by the black hole.