The Einstein-Yang-Mills equations |
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Authors: | Giovanni Giachetta Luigi Mangiarotti Raffaele Vitolo |
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Institution: | (1) Department of Mathematics and Physics, University of Camerino, I-62032 Camerino, Italy |
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Abstract: | The interaction between gravitational and gauge fields is considered. A new characterization of the Einstein-Yang-Mills equations is given. In particular, necessary and sufficient conditions which ensure the decomposition of the total Lagrangian density are established. The emphasis is on the general covariance requirements of the basic geometrical objects involved. This leads, among other things, to a better understanding of the role played by the Bianchi identity. |
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