Physics
Scientific paper
Jul 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981phrvd..24..305s&link_type=abstract
Physical Review D (Particles and Fields), Volume 24, Issue 2, 15 July 1981, pp.305-319
Physics
14
Scientific paper
A general formalism is developed to deal with electromagnetic waves in a metric of the form -ds2=gμνdxμdxν=-dt2+i=13Ai2(t)(dxi)2. The propagation problem is reduced to the integration of a second-order differential equation determining the time evolution of the Fμν tensor. The observable electric and magnetic fields are obtained referring Fμν to a suitable orthonormal tetrad and are shown to consist of a superposition of spectral components, each labeled by a set of parameters ki and transverse to a time-varying direction specified by kiAi(t). The ratio between energy and spin angular momentum for a single spectral component is found to be (kiki)12, which in the WKB limit is the angular frequency of the waves. The high-frequency solutions for the fields are used to discuss the possible effects of anisotropy in the expansion of the universe after decoupling on polarization and intensity distributions of the microwave background. Exact solutions are given for waves propagating along the coordinate axes of the general Kasner spacetimes and along any direction in the flat Kasner spacetime. Propagation out of the singularity is seen to alter considerably amplitude and phase relationships between the fields. Waveforms traveling along the coordinate axes without a backward tail are constructed.
Sagnotti Augusto
Zwiebach Barton
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