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Conservation of charge and second-order gauge-tensor field theories

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Abstract

In a space of four-dimensions I determine all possible second-order gauge-tensor field equations which are derivable from a variational principle, compatible with the notion of conservation of charge, and in agreement with the Yang-Mills field equations in flat space. The Lagrangian which yields these fields equations differs from the Lagrangian of the Einstein-Yang-Mills field theory (with cosmological term included) by one term.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Waterloo, Ontario, Canada

    Gregory Walter Horndeski

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  1. Gregory Walter Horndeski
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Communicated by C.-C. Wang

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Horndeski, G.W. Conservation of charge and second-order gauge-tensor field theories. Arch. Rational Mech. Anal. 75, 229–249 (1981). https://doi.org/10.1007/BF00250783

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  • DOI: https://doi.org/10.1007/BF00250783

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