ELECTROMAGNETIC FIELD IN OSCILLATING DE SITTER UNIVERSE: MAJORANA–OPPENHEIMER AND DUFFIN–KEMMER APPROACHES, EXACT SOLUTIONS
Abstract
The tetrad-based generalized complex formalism by Majorana–Oppenheimer is applied to examine an electromagnetic field in oscillating de Sitter Universe in nonstatic spherically symmetric coordinates. With the help of Wigner D-functions we separate the angular (Θ, φ) -dependence in the complex vector field E j (x) + iB j (x) from the (t, r)-dependence. After that, the system of differential equations in (t, r) variables is solved exactly. Relations between the complex 3-vector Majorana–Oppenheimer formalism and the 10-component Duffin–Kemmer–Petiau approach have been examined. On this basis, electromagnetic waves of magnetic and electric types have been constructed in the both formalisms. In the Duffin–Kemmer–Petiau formalism, the class of gradient-type solutions is constructed in Coulomb and Lorentz gauges.
About the Authors
E. M. OVSIYUK
Mozyr State Pedagogical University named after I. P. Shamyakin, Mozyr
Belarus
Belarus
K. V. DASHUK
Mozyr State Pedagogical University named after I. P. Shamyakin, Mozyr
Belarus
Belarus
O. V. VEKO
Mozyr State Pedagogical University named after I. P. Shamyakin, Mozyr
Belarus
Belarus
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