Radiation (damping) in a universe with topologically closed space sections

Mathematics – Mathematical Physics

Scientific paper

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Fundamental Problems And General Formalism

Scientific paper

A soluble model for an interacting oscillator-field system discussed previously is reconsidered with Minkowski space replaced by a Lorentzian static manifold with topologically closed space sections. It is shown that the general solution to the dynamical equations is-in the technical sense-almost periodic in time. In the case of the Einstein universe a more detailed discussion is presented, containing especially a study of the ''thermodynamic limit'' in which the radius of the universe tends to infinity.

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