No hair conjecture, nonabelian hierarchies and anti-de Sitter spacetime

Details No hair conjecture, nonabelian hierarchies and anti-de Sitter spacetime No hair conjecture, nonabelian hierarchies and anti-de Sitter spacetime

2005-08-09

arxiv.org/abs/gr-qc/0508033v2

Phys.Rev.D73:024006,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 15 figures; v2: calculations clarified, references added

Scientific paper

10.1103/PhysRevD.73.024006

We consider globally regular and black holes solutions for the Einstein-Yang-Mills system with negative cosmological constant in $d-$spacetime dimensions. We find that the ADM mass of the spherically symmetric solutions generically diverges for $d>4$. Solutions with finite mass are found by considering corrections to the YM Lagrangean consisting in higher therm of the Yang--Mills hierarchy. Such systems can occur in the low energy effective action of string theory. A discussion of the main properties of the solutions and the differences with respect to the four dimensional case is presented. The mass of these configurations is computed by using a counterterm method.

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