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Majorana–Oppenheimer Approach to Maxwell Electrodynamics. Part II. Curved Riemannian Space

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Abstract

The Riemann–Silberstein–Majorana–Oppenheimer approach to the Maxwell electrodynamics in the presence of electrical sources, arbitrary media and curved space-time is investigated within the matrix formalism and tetrad method. Symmetries of the matrix Maxwell equation under transformations of the local gauge complex rotation group SO(3,C) is demonstrated explicitly. Equivalence of the approach to general covariant Proca technique and spinor formalism is shown.

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Authors and Affiliations

  1. B.I. Stepanov Institute of Physics, National Academy of Sciences of Belarus, 68 Nezavisimosti av., Minsk, 220072, Belarus

    V. M. Red’kov

  2. Belorussian State Economical University, Minsk, Republic of Belarus

    N. G. Tokarevskaya

  3. BSEE Illinois Institute of Technology, Chicago, USA

    George J. Spix

Authors
  1. V. M. Red’kov
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  2. N. G. Tokarevskaya
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  3. George J. Spix
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Correspondence to V. M. Red’kov.

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Red’kov, V.M., Tokarevskaya, N.G. & Spix, G.J. Majorana–Oppenheimer Approach to Maxwell Electrodynamics. Part II. Curved Riemannian Space. Adv. Appl. Clifford Algebras 23, 165–178 (2013). https://doi.org/10.1007/s00006-012-0321-0

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  • DOI: https://doi.org/10.1007/s00006-012-0321-0

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