### 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 2006 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Communications in Mathematical Physics*,

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

**Classification of static, spherically symmetric solutions of the Einstein-Yang-Mills theory with positive cosmological constant.** / Breitenlohner, Peter; Forgács, P.; Maison, Dieter.

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 261, no. 3, pp. 569-611. https://doi.org/10.1007/s00220-005-1427-1

}

TY - JOUR

T1 - Classification of static, spherically symmetric solutions of the Einstein-Yang-Mills theory with positive cosmological constant

AU - Breitenlohner, Peter

AU - Forgács, P.

AU - Maison, Dieter

PY - 2006/2

Y1 - 2006/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=29144440890&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=29144440890&partnerID=8YFLogxK

U2 - 10.1007/s00220-005-1427-1

DO - 10.1007/s00220-005-1427-1

M3 - Article

AN - SCOPUS:29144440890

VL - 261

SP - 569

EP - 611

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -