### Abstract

Two types of self-gravitating particle solutions found in several theories with non-Abelian fields are smoothly connected by a family of nontrivial black holes. There exists a maximum point of the black hole entropy where the stability of solutions changes. This criterion is universal, and the changes in stability follow from a catastrophe-theoretic analysis of the potential function defined by black hole entropy.

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

Pages (from-to) | 450-453 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 72 |

Issue number | 4 |

Publication status | Published - 1994 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*72*(4), 450-453.

**Stability of non-abelian black holes and catastrophe theory.** / Maeda, Keiichi; Tachizawa, T.; Torii, T.; Maki, T.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 72, no. 4, pp. 450-453.

}

TY - JOUR

T1 - Stability of non-abelian black holes and catastrophe theory

AU - Maeda, Keiichi

AU - Tachizawa, T.

AU - Torii, T.

AU - Maki, T.

PY - 1994

Y1 - 1994

N2 - Two types of self-gravitating particle solutions found in several theories with non-Abelian fields are smoothly connected by a family of nontrivial black holes. There exists a maximum point of the black hole entropy where the stability of solutions changes. This criterion is universal, and the changes in stability follow from a catastrophe-theoretic analysis of the potential function defined by black hole entropy.

AB - Two types of self-gravitating particle solutions found in several theories with non-Abelian fields are smoothly connected by a family of nontrivial black holes. There exists a maximum point of the black hole entropy where the stability of solutions changes. This criterion is universal, and the changes in stability follow from a catastrophe-theoretic analysis of the potential function defined by black hole entropy.

UR - http://www.scopus.com/inward/record.url?scp=0001548267&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001548267&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001548267

VL - 72

SP - 450

EP - 453

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 4

ER -