Gravitational waves in an expanding universe

Physics

Scientific paper

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Scientific paper

In the usual description of gravitational waves it is assumed that at large distances space is flat, consistent with zero mass. On the other hand, a realistic formulation for an universe containing some matter must satisfy the boundary conditions pertaining to an expanding universe. The usual formalism has been generalized to include a background metric corresponding to a conformally flat space known to correspond to a Friedmann universe. The wave propagation equation has been solved for several pressure and density distributions of the underlying space. Axially symmetric gravitational fields are also discussed.

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