Relativistic dynamics of spherical counter-rotating dust bodies

Computer Science

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Cosmic Dust, Relativistic Theory, Rotating Bodies, Rotating Spheres, Spherical Shells, Einstein Equations, Equations Of Motion, Kinematic Equations, Lorentz Force, Metric Space, Schwarzschild Metric

Scientific paper

Spherically symmetric dust clusters, of the type first proposed by Einstein, are generalized to nonstationary cases. Particular attention is paid to a massive spherical shell of particles orbiting a central body, using a method developed by Israel. Shells provide comparisons with Schwarzschild test particles, and offer as well a simplified approach to continuously distributed clusters.

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