Spherically symmetric fields in Rosen's bimetric theories of gravitation

Mathematics

Scientific paper

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Bimetric Theories, Cosmology, Field Theory (Physics), Gravitational Fields, Energy Conservation, Symmetry, Time Dependence, Vectors (Mathematics)

Scientific paper

By means of bimetric Killing vectors two spherically symmetric fields are investigated: (1) the time-dependent one in Rosen's flat-background bimetric theory; and (2) the energy-preserving in Rosen's cosmological-background bimetric theory with k = 1. In the first case a wave behavior of the field is present. In the second case a time evolution is obtained for fields, created by insular systems of constant energy. These phenomena are typical for bimetric theories of gravitation.

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