Investigation of the effects of the gravitomagnetic field a rotating sphere and band on the trajectory of a test particle

Malekolkalami, Behrooz; Shokri, Abdol Jabbar; Dwodi, Kamel

doi:10.66224/jmrph.10.1.82

Investigation of the effects of the gravitomagnetic field a rotating sphere and band on the trajectory of a test particle

Authors

Behrooz Malekolkalami

Abdol Jabbar Shokri

Kamel Dwodi

https://doi.org/10.66224/jmrph.10.1.82

Abstract

There are several methods for solving Einstein's field equations in gravitational interactions between particles, one of which is the weak field approximation. In this approximation, gravitational fields behave similarly to electric and magnetic fields and are described by equations akin to Maxwell's equations, referred to as quasi-Maxwellian equations in gravity In electromagnetism, the path of motion of a test particle within these fields can be determined using vector and scalar potentials. This paper employs the weak field approximation to derive the equations governing the motion of a test particle in the electromagnetic gravitational field generated by a sphere and a rotating band. Additionally, numerical calculation methods and appropriate software were utilized to plot the trajectory of the test particle in these fields under various conditions. The results indicated that the path of the test particle is influenced by whether the sphere and band are stationary, rotating together, or rotating separately. Moreover, the angular velocities of the sphere and the ribbon significantly impact the test particle's trajectory. By examining the ratio of the angular velocities of the ribbon and the sphere, different patterns of the test particle's trajectory were observed.

Keywords

gravitomagnetic

test particle

modeling

rotating sphere

rotating

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