The role of mathematics in gravitational physics

Physics

Scientific paper

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Einstein Equations, Gravitation Theory, Mathematical Models, Relativity, Theoretical Physics, Astronomical Models, Equations Of State, Gravitational Fields, Perturbation Theory, Stellar Gravitation

Scientific paper

Certain gravitational systems are described for which particular equations of state are singled out by means of purely mathematical considerations. The fact that these equations of state are realistic, and indeed the most relevant to the physical systems under study, suggests that some information about local physical conditions is contained in Einstein's field equations and that it is not always necessary to draw on extraneous branches of physics in order to describe gravitating systems.

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