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Particle Motion and Scattering in Finslerian-Kropina Schwarzschild Metric

Abstract

Roopa MK and Narasimhamurthy SK

In theory of relativity, Finsler geometry is a without motion there is no position, in universe. In this paper, we study the motion of photon and massless particles for Schwarzschild metric in Finsler space time in the case of Kropina-Finsler space with constant flag curvature. Then, we analyzed qualitatively of potential energy of particles at various distances near Schwarzschild black hole and the results are compared with in the Riemannain geometry in particular Lorenz case. Also, described the scattering of particles near Schwarzschild black hole in Finsler space time by finding capture cross section of absorption by the black hole.

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