### Abstract

We study the five-dimensional Einstein-Yang-Mills system with a cosmological constant. Assuming a spherically symmetric spacetime, we find a new analytic black hole solution, which approaches asymptotically "quasi-Minkowski," "quasi-anti-de Sitter," or "quasi-de Sitter" spacetime depending on the sign of the cosmological constant. Since there is no singularity except for the origin that is covered by an event horizon, we regard it as a localized object. This solution corresponds to a magnetically charged black hole. We also present a singularity-free particlelike solution and a nontrivial black hole solution numerically. Those solutions correspond to the Bartnik-McKinnon solution and a colored black hole with a cosmological constant in four dimensions. We analyze their asymptotic behavior, spacetime structures, and thermodynamical properties. We show that there is a set of stable solutions if the cosmological constant is negative.

Original language | English |
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Article number | 104012 |

Journal | Physical Review D |

Volume | 67 |

Issue number | 10 |

DOIs | |

Publication status | Published - 2003 May 15 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics

### Cite this

*Physical Review D*,

*67*(10), [104012]. https://doi.org/10.1103/PhysRevD.67.104012

**Five-dimensional black hole and particle solution with a non-Abelian gauge field.** / Okuyama, Naoya; Maeda, Keiichi.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 67, no. 10, 104012. https://doi.org/10.1103/PhysRevD.67.104012

}

TY - JOUR

T1 - Five-dimensional black hole and particle solution with a non-Abelian gauge field

AU - Okuyama, Naoya

AU - Maeda, Keiichi

PY - 2003/5/15

Y1 - 2003/5/15

N2 - We study the five-dimensional Einstein-Yang-Mills system with a cosmological constant. Assuming a spherically symmetric spacetime, we find a new analytic black hole solution, which approaches asymptotically "quasi-Minkowski," "quasi-anti-de Sitter," or "quasi-de Sitter" spacetime depending on the sign of the cosmological constant. Since there is no singularity except for the origin that is covered by an event horizon, we regard it as a localized object. This solution corresponds to a magnetically charged black hole. We also present a singularity-free particlelike solution and a nontrivial black hole solution numerically. Those solutions correspond to the Bartnik-McKinnon solution and a colored black hole with a cosmological constant in four dimensions. We analyze their asymptotic behavior, spacetime structures, and thermodynamical properties. We show that there is a set of stable solutions if the cosmological constant is negative.

AB - We study the five-dimensional Einstein-Yang-Mills system with a cosmological constant. Assuming a spherically symmetric spacetime, we find a new analytic black hole solution, which approaches asymptotically "quasi-Minkowski," "quasi-anti-de Sitter," or "quasi-de Sitter" spacetime depending on the sign of the cosmological constant. Since there is no singularity except for the origin that is covered by an event horizon, we regard it as a localized object. This solution corresponds to a magnetically charged black hole. We also present a singularity-free particlelike solution and a nontrivial black hole solution numerically. Those solutions correspond to the Bartnik-McKinnon solution and a colored black hole with a cosmological constant in four dimensions. We analyze their asymptotic behavior, spacetime structures, and thermodynamical properties. We show that there is a set of stable solutions if the cosmological constant is negative.

UR - http://www.scopus.com/inward/record.url?scp=37649030640&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevD.67.104012

DO - 10.1103/PhysRevD.67.104012

M3 - Article

VL - 67

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 10

M1 - 104012

ER -