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

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.

arXiv comment19 pages, 9 figures

References in corpus (17)

• The Black Hole in Three Dimensional Space Time
• Gravitating Monopole Solutions II
• Spacetime structure of static solutions in Gauss-Bonnet gravity: neutral case
• Existence of stable hairy black holes in su(2) Einstein-Yang-Mills theory with a negative cosmological constant
• Monopoles, Dyons and Black Holes in the Four-Dimensional Einstein-Yang-Mills Theory
• Magnetic Solutions to 2+1 Gravity
• Higher order curvature generalisations of Bartnick-McKinnon and coloured black hole solutions in $d=5$
• Equivalence of black hole thermodynamics between a generalized theory of gravity and the Einstein theory
• Gravitating Yang-Mills vortices in 4+1 spacetime dimensions
• Particle-like solutions to higher order curvature Einstein--Yang-Mills systems in d dimensions
• No hair conjecture, nonabelian hierarchies and anti-de Sitter spacetime
• Static axially symmetric solutions of Einstein-Yang-Mills equations with a negative cosmological constant: black hole solutions
• Regular solutions to higher order curvature Einstein--Yang-Mills systems in higher dimensions
• Magnetic point sources in three dimensional Brans-Dicke gravity theories
• Towards complete string effective actions beyond leading order
• Magnetically charged solutions via an analog of the electric-magnetic duality in (2+1)-dimensional gravity theories
• Yang--Mills sphalerons in all even spacetime dimensions $d=2k$, $k>2$ : $k$=3,4

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• Gravitating BPS Monopoles in all d=4p Spacetime Dimensions
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