Electromagnetic radiation in multiply connected Robertson-Walker cosmologies.

Details Electromagnetic radiation in multiply connected Robertson-Walker cosmologies. Electromagnetic radiation in multiply connected Robertson-Walker cosmologies.

Jul 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jmp....34.3133t&link_type=abstract

Journal of Mathematical Physics, Vol. 34, No. 7, p. 3133 - 3150

Mathematics

Mathematical Physics

20

Scientific paper

Maxwell's equations on a topologically nontrivial cosmological background are studied. The cosmology is locally determined by a Robertson-Walker line element, but the spacelike slices are open hyperbolic manifolds, whose topology and geometry may vary in time. In this context the spectral resolution of Maxwell's equations in terms of horospherical elementary waves generated at infinity of hyperbolic space is given. The quantized energy-momentum tensor of the radiation field is constructed in a geometrically and dynamically transparent way, without appealing to the intricacies of the second quantization. In particular Planck's radiation formula, and the bearing of the multiply connected topology on the fluctuations in the temperature of the background radiation is discussed.

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