Mathematics – Logic
Scientific paper
Apr 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apj...197....1b&link_type=abstract
Astrophysical Journal, vol. 197, Apr. 1, 1975, pt. 1, p. 1-4. NSF-supported research.
Mathematics
Logic
24
Background Radiation, Cosmology, Electromagnetic Wave Transmission, Metric Space, Polarization Characteristics, Relativity, Gravitational Fields, Plane Waves, Signature Analysis, Wave Propagation
Scientific paper
The influence of a background cosmological metric on the propagation of electromagnetic radiation through the universe is studied, with particular emphasis on the effect of metric anisotropies on polarization properties. An approximation is used which regards the electromagnetic field as a flat-space plane wave (null field) with respect to the Minkowski frames parallel-transported along a null geodesic. These frames are Lorentz transforms of the local comoving cosmological frames at each point. Thus the effects of the metric on the electromagnetic field show up in terms of these Lorentz transformations. It is found that a general anisotropic metric will produce rotations of planes of polarization by amounts dependent on the length of the path, causing a scrambling of any polarization effects from different sources.
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