### Abstract

We study an evaporating process of black holes in the SO(3) Einstein-Yang-Mills-Higgs system. We consider a massless scalar field which couples neither with the Yang-Mills field nor with the Higgs field surrounding the black hole. We discuss the differences in the evaporating rate between a monopole black hole and a Reissner-Nordström (RN) black hole. Since a RN black hole is unstable below the point at which a monopole black hole emerges, it will transit into a monopole black hole as suggested via catastrophe theory. We then conjecture the following: Starting from a Reissner-Nordström black hole, the mass decreases via the Hawking radiation and the black hole will reach a critical point. Then it transits to a monopole black hole. We find that the evaporation rate will increase continuously or discontinuously according to the type of phase transition that is either second order or first order, respectively. After its transition, the evaporation will never stop because the Hawking temperature of a monopole black hole diverges at the zero horizon limit and overcomes the decrease of the transmission amplitude Γ.

Original language | English |
---|---|

Article number | 084041 |

Pages (from-to) | 1-8 |

Number of pages | 8 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 62 |

Issue number | 8 |

Publication status | Published - 2000 Oct 15 |

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### ASJC Scopus subject areas

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

### Cite this

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

*62*(8), 1-8. [084041].

**Fate of a Reissner-Nordström black hole in the Einstein-Yang-Mills-Higgs system.** / Tamaki, Takashi; Maeda, Keiichi.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 62, no. 8, 084041, pp. 1-8.

}

TY - JOUR

T1 - Fate of a Reissner-Nordström black hole in the Einstein-Yang-Mills-Higgs system

AU - Tamaki, Takashi

AU - Maeda, Keiichi

PY - 2000/10/15

Y1 - 2000/10/15

N2 - We study an evaporating process of black holes in the SO(3) Einstein-Yang-Mills-Higgs system. We consider a massless scalar field which couples neither with the Yang-Mills field nor with the Higgs field surrounding the black hole. We discuss the differences in the evaporating rate between a monopole black hole and a Reissner-Nordström (RN) black hole. Since a RN black hole is unstable below the point at which a monopole black hole emerges, it will transit into a monopole black hole as suggested via catastrophe theory. We then conjecture the following: Starting from a Reissner-Nordström black hole, the mass decreases via the Hawking radiation and the black hole will reach a critical point. Then it transits to a monopole black hole. We find that the evaporation rate will increase continuously or discontinuously according to the type of phase transition that is either second order or first order, respectively. After its transition, the evaporation will never stop because the Hawking temperature of a monopole black hole diverges at the zero horizon limit and overcomes the decrease of the transmission amplitude Γ.

AB - We study an evaporating process of black holes in the SO(3) Einstein-Yang-Mills-Higgs system. We consider a massless scalar field which couples neither with the Yang-Mills field nor with the Higgs field surrounding the black hole. We discuss the differences in the evaporating rate between a monopole black hole and a Reissner-Nordström (RN) black hole. Since a RN black hole is unstable below the point at which a monopole black hole emerges, it will transit into a monopole black hole as suggested via catastrophe theory. We then conjecture the following: Starting from a Reissner-Nordström black hole, the mass decreases via the Hawking radiation and the black hole will reach a critical point. Then it transits to a monopole black hole. We find that the evaporation rate will increase continuously or discontinuously according to the type of phase transition that is either second order or first order, respectively. After its transition, the evaporation will never stop because the Hawking temperature of a monopole black hole diverges at the zero horizon limit and overcomes the decrease of the transmission amplitude Γ.

UR - http://www.scopus.com/inward/record.url?scp=16644396422&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=16644396422&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:16644396422

VL - 62

SP - 1

EP - 8

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 8

M1 - 084041

ER -