Non-Abelian black holes in Brans-Dicke theory

Takashi Tamaki, Kei ichi Maeda

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


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)(Formula presented)SU(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 (Formula presented)-(Formula presented) 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.

Original languageEnglish
Pages (from-to)4870-4884
Number of pages15
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number8
Publication statusPublished - 1998
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


Dive into the research topics of 'Non-Abelian black holes in Brans-Dicke theory'. Together they form a unique fingerprint.

Cite this