Mathematics
Scientific paper
Feb 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...253....1a&link_type=abstract
Astrophysical Journal, Part 1, vol. 253, Feb. 1, 1982, p. 1-18.
Mathematics
51
Astronomical Models, Background Radiation, Cosmology, Gravitational Waves, Polarization (Waves), Inhomogeneity, Plane Waves, Singularity (Mathematics), Space-Time Functions, Wave Equations
Scientific paper
An exact formalism is developed for describing cosmological models with strong, long wavelength gravitational waves of general polarization, propagating over backgrounds corresponding to Bianchi types I through VII. A new metric which exhibits the appropriate symmetries of two equivalent independent polarizations of gravitational waves is introduced and discussed. The formalism is applied to an empty type I cosmology, and it is shown how the original z-dependent chaotic singularity structure transforms itself into gravitational radiation propagating along the z-axis in a Bianchi I background.
Adams Paul J.
Farhoosh Hamid
Hellings Ronald W.
Levine D. I.
Zeldich S.
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