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TE-compatible Maxwell fields in spatially closed Friedman–Robertson–Walker Universe

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  • Dariescu, Ciprian
  • Dariescu, Marina-Aura

Abstract

In the present paper, we investigate the source-free Maxwell equations in a spatially closed FRW Universe with cosmologic dust. We employ a very convenient compact timelike coordinate f∈[0,1], that characterizes the whole big bang–big crunch spacetime history cyclicly evolving with a 2π conformal period. Using the particular source-free Maxwell field generated by a rotationally symmetric potential A, solution of Maxwell equations and satisfying the Lorentz condition, we obtain the magnetic induction and the electric field intensity. Finally, we point out the θ=const-surfaces which are allowing TE modes. For a suitable choice of the integration constants, we derive a particular irrational value of f, corresponding to a fractal-like sequence of cosmic moments.

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  • Dariescu, Ciprian & Dariescu, Marina-Aura, 2007. "TE-compatible Maxwell fields in spatially closed Friedman–Robertson–Walker Universe," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 8-14.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:1:p:8-14
    DOI: 10.1016/j.chaos.2006.05.042
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    1. Dariescu, Marina-Aura & Dariescu, Ciprian, 2009. "Fermions on spacetimes of spatially closed hypersurfaces," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2522-2529.

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