The effect of self-gravity on the equations of motion of a test particle in general relativity

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Equations Of Motion, Gravitational Effects, Relativity, Stellar Magnetic Fields, Binary Stars, Lorentz Force, Neutron Stars

Scientific paper

The author's previous treatment of a test particle with self-gravity in general relativity is elaborated. The effect of the particle's self-gravity on the equations of motion is examined. For the special case of a spherical star with uniform density and uniform magnetization in an ambient magnetic field, calculations based on a flat background spacetime and a Newtonian self-gravity indicate that both the force and the torque on the magnetic dipole are 1+8GM/(5c2R) times those given by the Lorentz force, where M is the mass and R is the radius.

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