Abstract
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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This paper is dedicated to my good friend Professor Nathan Rosen with the fond wish that he may continue his work for many years to come (until 120) and continue to be an inspiration to his many friends.
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Tauber, G.E. Gravitational waves in an expanding universe. Found Phys 14, 1169–1183 (1984). https://doi.org/10.1007/BF01889318
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DOI: https://doi.org/10.1007/BF01889318