A Newtonian view of relativistic cosmology

Physics

Scientific paper

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Astronomical Models, Cosmology, Newton Theory, Relativistic Theory, Classical Mechanics, Einstein Equations, Equations Of Motion, Field Theory (Physics), Gravitation Theory, Metric Space, Power Series, Spin

Scientific paper

Equations are presented that reveal the dynamics of relativistic dust world models in a quasi-Newtonian manner. A local approximation technique using spatial power series expansions in comoving coordinates is used. For a relativistic approach, the local approximation formalism is extended to Einstein's field equations. Results indicate the use of these equations to classify and elucidate the various kinds of singularities and indefinite expansion occurring in relativistic world models.

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