Radiating Weyl metric

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Einstein Equations, Field Theory (Physics), Gravitation Theory, Metric Space, Radiation Distribution, Relativity, Astrophysics, Electromagnetic Fields, Flow Distribution, Gravitational Fields, Neutrinos, Space-Time Functions

Scientific paper

A nonstatic generalization of Weyl's solution, theoretically capable of describing a gravitational field of decreasing mass plus a field of flowing radiation, is presented; through solution of the Einstein-neutrino field equations, it is demonstrated that a neutrino field cannot be represented by this nonstatic metric. An electromagnetic field is also considered as a candidate for the radiation field, but proves incapable of providing a solution of any interest. Accordingly, it may be concluded that nonstatic metrics such as the generalization of Weyl's solution developed here are of little relevance for astrophysical problems.

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