Regular solutions to higher order curvature Einstein--Yang-Mills systems in higher dimensions

Details Regular solutions to higher order curvature Einstein--Yang-Mills systems in higher dimensions Regular solutions to higher order curvature Einstein--Yang-Mills systems in higher dimensions

2005-08-08

arxiv.org/abs/gr-qc/0508027v1

Class.Quant.Grav. 22 (2005) 5201-5222

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages, 12 figures

Scientific paper

10.1088/0264-9381/22/24/001

We study regular, static, spherically symmetric solutions of Yang-Mills theories employing higher order invariants of the field strength coupled to gravity in $d$ dimensions. We consider models with only two such invariants characterised by integers $p$ and $q$. These models depend on one dimensionless parameter $\alpha$ leading to one-parameter families of regular solutions, obtainable by numerical solution of the corresponding boundary value problem. Much emphasis is put on an analytical understanding of the numerical results.

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