TY - JOUR

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

AU - Tamaki, Takashi

AU - Maeda, Kei ichi

PY - 1998

Y1 - 1998

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)(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.

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)(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.

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U2 - 10.1103/PhysRevD.57.4870

DO - 10.1103/PhysRevD.57.4870

M3 - Article

AN - SCOPUS:0001332276

SN - 1550-7998

VL - 57

SP - 4870

EP - 4884

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

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

IS - 8

ER -