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Features of gravity-Yang-Mills hierarchies in d-dimensions

Eugen Radu·Cristian Stelea·D. H. Tchrakian
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Abstract

Higher dimensional, direct analogues of the usual d=4 Einstein--Yang-Mills (EYM) systems are studied. These consist of the gravitational and Yang-Mills hierarchies in d=4p dimensional spacetimes, both consisting of 2p-form curvature terms only. Regular and black hole solutions are constructed in $2p+2\le d \le 4p$, in which dimensions the total mass-energy is finite, generalising the familiar Bartnik-McKinnon solutions in EYM theory for p=1. In d=4p, this similarity is complete. In the special case of d=2p+1, just beyond the finite energy range of d, exact solutions in closed form are found. Finally, d=2p+1 purely gravitational systems, whose solutions generalise the static d=3 BTZ solutions, are discussed.

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Eugen Radu, Cristian Stelea, D. H. Tchrakian. 2006-01-23. Features of gravity-Yang-Mills hierarchies in d-dimensions. https://doi.org/10.1103/physrevd.73.084015

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