### Abstract

We give a complete classification of all static, spherically symmetric solutions of the SU(2) Einstein-Yang-Mills theory with a positive cosmological constant. Our classification proceeds in two steps. We first extend solutions of the radial field equations to their maximal interval of existence. In a second step we determine the Carter-Penrose diagrams of all 4-dimensional space-times constructible from such radial pieces. Based on numerical studies we sketch a complete phase space picture of all solutions with a regular origin.

Original language | English |
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Pages (from-to) | 569-611 |

Number of pages | 43 |

Journal | Communications in Mathematical Physics |

Volume | 261 |

Issue number | 3 |

DOIs | |

Publication status | Published - Feb 1 2006 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Breitenlohner, P., Forgács, P., & Maison, D. (2006). Classification of static, spherically symmetric solutions of the Einstein-Yang-Mills theory with positive cosmological constant.

*Communications in Mathematical Physics*,*261*(3), 569-611. https://doi.org/10.1007/s00220-005-1427-1