Gravitational Waves in Matter
The theory of gravitational waves in matter is given. This covers the questions of constitutive relation, number of independent polarizations, index of refraction, reflection and refraction at an interface, etc. The theory parallels the familiar optics of electromagnetic waves in material media, but there are some striking differences. The use of the Campbell-Morgan formalism in which the gauge-invariant tidal force dyads E and B rather than the gauge-dependent metric perturbations are the unknowns is essential. The main justification of the theory at the moment is as a theoretical exercise worth doing. The assumption: size L of the medium ≫ gravitational wave length λ (“infinite medium”) rules out application to the already well-understood detection problem, but there may be an application to gravitational wave propagation through molecular gas clouds of galactic or inter-galactic size.
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- 1.Weinberg, S. (1972). Gravitation and Cosmology (Wiley, New York).Google Scholar
- 2.Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973). Gravitation (W. H. Freeman, San Francisco).Google Scholar
- 3.Ohanion, H. C., and Ruffini, R. (1994). Gravitation and Spacetime (Norton, New York).Google Scholar
- 4.Adler, R., Bazin, M., and Schiffer, M. (1975). Introduction to General Relativity (McGraw-Hill, New York).Google Scholar
- 5.Jackson, J. D. (1975). Classical Electrodynamics (Wiley, New York).Google Scholar
- 6.Campbell, W. B., and Morgan, T. (1971). Physica 53, 264.Google Scholar
- 7.Campbell, W. B., and Morgan, T. (1976). Amer. J. Phys. 44, 356.Google Scholar
- 8.Campbell, W. B., and Morgan, T. (1976). Amer. J. Phys. 44, 1110.Google Scholar
- 9.Russakoff, G. (1970). Amer. J. Phys. 38, 1188.Google Scholar
- 10.Goldstein, H. (1980). Classical Mechanics (Addison-Wesley, Reading, Mass.).Google Scholar