Non-Abelian gravitating solitons with negative cosmological constant

Details Non-Abelian gravitating solitons with negative cosmological constant Non-Abelian gravitating solitons with negative cosmological constant

2003-07-08

arxiv.org/abs/gr-qc/0307029v1

Class.Quant.Grav. 21 (2004) 1667-1684

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 9 figures

Scientific paper

10.1088/0264-9381/21/6/023

Static, spherically symmetric solutions with regular origin are investigated of the Einstein-Yang-Mills theory with a negative cosmological constant $\Lambda$. A combination of numerical and analytical methods leads to a clear picture of the `moduli space' of the solutions. Some issues discussed in the existing literature on the subject are reconsidered and clarified. In particular the stability of the asymptotically AdS solutions is studied. Like for the Bartnik-McKinnon (BK) solutions obtained for $\Lambda=0$ there are two different types of instabilities -- `topological' and `gravitational'. Regions with any number of these instabilities are identified in the moduli space. While for BK solutions there is always a non-vanishing equal number of instabilities of both types, this degeneracy is lifted and there exist stable solutions, genuine sphalerons with exactly one unstable mode and so on. The boundaries of these regions are determined.

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