Electromagnetic field on de Sitter expanding universe: Majorana-Oppenheimer formalism, exact solutions in non-static coordinates

zbMATH Open1293.83010arXiv1410.8324MaRDI QIDQ2876332

E. M. Ovsiyuk, Yu A. Sitenko, V. M. Red'kov, O. V. Veko, N. D. Vlasii

Publication date: 18 August 2014

Published in: Nonlinear Phenomena in Complex Systems (Minsk) (Search for Journal in Brave)

Abstract: Tetrad-based generalized complex formalism by Majorana--Oppenheimer is applied to treat electromagnetic field in extending de Sitter Universe in on-static spherically-symmetric coordinates. With the help of Wigner D-functions, we separate angular dependence in the complex vector field E_{j}(t,r)+i B_{j}(t,r) from (t,r)-dependence. The separation parameter arising here instead of frequency omega in Minkowski space-time is quantized, non-static geometry of the de Sitter model leads to definite dependence of electromagnetic modes on the time variable. Relation of 3-vector complex approach to 10-dimensional Duffin-Kemmer-Petiau formalism is considered. On this base, the electromagnetic waves of magnetic and electric type have been constructed in both approaches. In Duffin-Kemmer-Petiau approach, there are constructed gradient-type solutions in Lorentz gauge.

Full work available at URL: https://arxiv.org/abs/1410.8324

zbMATH Keywords

electromagnetic fieldde Sitter universenon-static coordinateselectric and magnetic wavesMajorana-Oppenheimer formalism

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Exact solutions to problems in general relativity and gravitational theory (83C15) Einstein-Maxwell equations (83C22)

Related Items (1)

Statistical formulation of electromagnetism in the expanding universe and arrow of time.

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