Post-Newtonian generation of gravitational waves in a theory of gravity with torsion

Physics

Scientific paper

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Gravitation Theory, Gravitational Waves, Relativity, Torsion, Approximation, Conservation Laws, Field Theory (Physics)

Scientific paper

The gravitational-radiation methods developed within general relativity by Epstein and Wagoner (1975) are applied to the Poincare gage theory of gravity proposed by Heyl et al. (1978, 1980) in order to predict gravitational radiation losses. The gravitation theory with torsion is summarized in terms of differential forms, and it is shown that the solutions of the field equations agree with those of general relativity in the first post-Newtonian approximation. The energy-momentum forms of the gravitational field are derived, and it is demonstrated that the post-Newtonian generation of gravitational radiation in the Heyl theory is the same as in general relativity. In particular, it is found that the dipole catastrophe of gravitational radiation encountered in many alternative metric theories of gravitation is avoided.

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