### 抄録

We find a black hole solution with a non-Abelian field in Brans-Dicke theory. It is an extension of a non-Abelian black hole in general relativity. We discuss two non-Abelian fields: an "SU(2)" Yang-Mills field with a mass (Proca field) and the SU(2)XSU(2) Skyrme field. In both cases, as in general relativity, there are two branches of solutions, i.e., two black hole solutions with the same horizon radius. The masses of both black holes are always smaller than those in general relativity. A cusp structure in the mass-horizon radius (M_{g}-r_{h}) diagram, which is a typical symptom of stability change in catastrophe theory, does not appear in the Brans-Dicke frame but is found in the Einstein conformal frame. This suggests that catastrophe theory may be simply applied for a stability analysis as it is if we use the variables in the Einstein frame. We also discuss the effects of the Brans-Dicke scalar field on black hole structure.

元の言語 | English |
---|---|

ページ（範囲） | 4870-4884 |

ページ数 | 15 |

ジャーナル | Physical Review D - Particles, Fields, Gravitation and Cosmology |

巻 | 57 |

発行部数 | 8 |

出版物ステータス | Published - 1998 4 15 |

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### ASJC Scopus subject areas

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

### これを引用

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*57*(8), 4870-4884.

**Non-Abelian black holes in Brans-Dicke theory.** / Tamaki, Takashi; Maeda, Keiichi; Torii, Takashi.

研究成果: Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, 巻. 57, 番号 8, pp. 4870-4884.

}

TY - JOUR

T1 - Non-Abelian black holes in Brans-Dicke theory

AU - Tamaki, Takashi

AU - Maeda, Keiichi

AU - Torii, Takashi

PY - 1998/4/15

Y1 - 1998/4/15

N2 - We find a black hole solution with a non-Abelian field in Brans-Dicke theory. It is an extension of a non-Abelian black hole in general relativity. We discuss two non-Abelian fields: an "SU(2)" Yang-Mills field with a mass (Proca field) and the SU(2)XSU(2) Skyrme field. In both cases, as in general relativity, there are two branches of solutions, i.e., two black hole solutions with the same horizon radius. The masses of both black holes are always smaller than those in general relativity. A cusp structure in the mass-horizon radius (Mg-rh) diagram, which is a typical symptom of stability change in catastrophe theory, does not appear in the Brans-Dicke frame but is found in the Einstein conformal frame. This suggests that catastrophe theory may be simply applied for a stability analysis as it is if we use the variables in the Einstein frame. We also discuss the effects of the Brans-Dicke scalar field on black hole structure.

AB - We find a black hole solution with a non-Abelian field in Brans-Dicke theory. It is an extension of a non-Abelian black hole in general relativity. We discuss two non-Abelian fields: an "SU(2)" Yang-Mills field with a mass (Proca field) and the SU(2)XSU(2) Skyrme field. In both cases, as in general relativity, there are two branches of solutions, i.e., two black hole solutions with the same horizon radius. The masses of both black holes are always smaller than those in general relativity. A cusp structure in the mass-horizon radius (Mg-rh) diagram, which is a typical symptom of stability change in catastrophe theory, does not appear in the Brans-Dicke frame but is found in the Einstein conformal frame. This suggests that catastrophe theory may be simply applied for a stability analysis as it is if we use the variables in the Einstein frame. We also discuss the effects of the Brans-Dicke scalar field on black hole structure.

UR - http://www.scopus.com/inward/record.url?scp=0001332276&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001332276&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001332276

VL - 57

SP - 4870

EP - 4884

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 8

ER -