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

Radu, Eugen and Stelea, Cristian and Tchrakian, D. H. (2006) Features of gravity–Yang-Mills hierarchies in d-dimensions. Physical Review D, 73 (8). ISSN 1550-7998

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Official URL: http://doi.org/10.1103/PhysRevD.73.084015


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 ≤ d ≤ 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.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:31
Last Modified: 15 Dec 2022 15:09
URI: https://dair.dias.ie/id/eprint/191

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