Exact solutions for moving matter in general relativity theory

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Matter (Physics), Relativity, Astronomical Models, Charged Particles, Dust, Gravitational Collapse, Photons

Scientific paper

Solutions are obtained via the Hilbert principle using a reference system with concomitant time where the velocity field is identified with some of the metric components. A general solution for the spherically symmetric motion of charged dust is obtained which is defined by three arbitrary functions. Synchronized solutions of the Einstein-de Sitter and Friedman type are considered. A subclass of axisymmetric motions of rotating charged and uncharged dust is obtained. A generalized solution is obtained for the spherically symmetrical motion of a photon gas with a nonconserved number of particles and for a photon gas with dust.

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