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Motion of particles of non-zero rest masses exterior to astrophysically real or hypothetical spherical distributions of mass whose tensor field varies with polar angle only

E.N Chifu, S.X.K Howusu, H Seydou, I.W Lumbi

Abstract


In this article, we extend the metric tensor exterior to astrophysically real or imaginary spherical distributions of mass whose tensor field varies with polar angle only; to derive equations of motion for test particles in this field. The time, radial, polar and azimuthal equations of motion for particles of non-zero rest masses moving in this gravitational field have been derived. The expression for the variation of the time on a clock moving in this gravitational field has been obtained for pure radial motion, the particles move with a constant velocity.

Keywords: Tensor field, spherical distribution, mass, motion, polar angle



http://dx.doi.org/10.4314/swj.v3i2.51806
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