Motion in Bimetric Type Theories of Gravity

TL;DR

This paper derives motion and deviation equations for various test particles in bimetric gravity theories using a modified Bazanski approach within Riemannian geometry, applicable to strong gravitational fields.

Contribution

It introduces a modified Bazanski method to derive path and deviation equations for particles in bimetric gravity, addressing motion in strong gravitational fields.

Findings

Derived path equations for charged and spinning particles in bimetric gravity.

Obtained deviation equations applicable to strong gravitational environments.

Provides a framework for analyzing motion in complex gravitational theories.

Abstract

The problem of motion for different test particles, charged and spinning objects of constant spinning tensor in different versions of bimetric theory of gravity is obtained by deriving their corresponding path and path deviation equations, using a modified Bazanski in presence of Riemannian geometry. This method enables us to find path and path deviation equations of different objects orbiting very strong gravitational fields.