Classification of gravitational waves in a nonsymmetric gravitational theory

Details Classification of gravitational waves in a nonsymmetric gravitational theory Classification of gravitational waves in a nonsymmetric gravitational theory

May 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.2480k&link_type=abstract

Physical Review D (Particles and Fields), Volume 31, Issue 10, 15 May 1985, pp.2480-2487

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

We analyze the polarization properties of weak, plane gravitational waves in theories of gravity containing a nonsymmetric metric. The calculation focuses on the physically observable geodesic-deviation forces that affect gravitational-wave detectors. Considering three different definitions of measurable geodesic deviation, we find that the most general wave may contain up to 12 modes of polarization. For the particular case of the nonsymmetric theory of Moffat, we find that, under two of the three possible definitions of geodesic deviation, the theory admits waves of up to five modes: three transverse, of helicity +/-2 and 0, and two longitudinal, of helicity +/-1. The presence or absence of the latter modes is found to be Lorentz-frame dependent, meaning that it is impossible to characterize such waves in terms of zero-mass particles of definite helicity. We find that this problem may be overcome, leaving Lorentz-invariant modes of helicity +/-2, if the third, ``transposition-invariant,'' definition of measurable geodesic deviation is adopted for this theory. The general formalism developed here may be useful for analyzing other nonsymmetric theories of gravitation.

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