This article is cited in 12 papers

Relativistic equations determined by the operators of the exterior derivative and generalized divergence

A. B. Pestov


Abstract: A relativistic wave equation is derived in terms of the operators of exterior derivative and generalized divergence. It is shown that in the space of solutions of the equation there acts a three-parameter group of transformations which affect only functions of the field and do not affect the coordinates. The conserved currents corresponding to these transformations are found. It is shown that the wave equation can be generalized to the case of curved spacetime.

Received: 18.01.1977

 English version: Theoretical and Mathematical Physics, 1978, 34:1, 30–36

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