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Four-Dimensional Lie Group Integration of the Klein–Fock Equation

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Abstract

A method of four-dimensional Lie group integration of the Fock–Klein equation is described in the present paper. The method is based on the formalism of co-adjoint representation orbits and on the non-commutative integration method. Right-invariant metrics being solutions of the Einstein equation are also classified for manifolds of four-dimensional Lie groups.

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Authors and Affiliations

  1. Omsk State University, Russia

    S. P. Baranovskii, V. V. Mikheev & I. V. Shirokov

Authors
  1. S. P. Baranovskii
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  2. V. V. Mikheev
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  3. I. V. Shirokov
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Baranovskii, S.P., Mikheev, V.V. & Shirokov, I.V. Four-Dimensional Lie Group Integration of the Klein–Fock Equation. Russian Physics Journal 45, 1033–1041 (2002). https://doi.org/10.1023/A:1023383820802

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  • DOI: https://doi.org/10.1023/A:1023383820802

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