Non-Abelian black holes in Brans-Dicke theory

Takashi Tamaki, Keiichi Maeda, Takashi Torii

    Research output: Contribution to journalArticle

    21 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)4870-4884
    Number of pages15
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume57
    Issue number8
    Publication statusPublished - 1998 Apr 15

    Fingerprint

    Black Holes
    General Relativity
    catastrophe theory
    Catastrophe theory
    relativity
    Albert Einstein
    horizon
    Horizon
    Radius
    Yang-Mills Field
    Yang-Mills fields
    radii
    Cusp
    cusps
    Scalar Field
    Stability Analysis
    Branch
    Diagram
    diagrams
    scalars

    ASJC Scopus subject areas

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

    Cite this

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

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 57, No. 8, 15.04.1998, p. 4870-4884.

    Research output: Contribution to journalArticle

    @article{10a8f900f8df47349415074a894c5434,
    title = "Non-Abelian black holes in Brans-Dicke theory",
    abstract = "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.",
    author = "Takashi Tamaki and Keiichi Maeda and Takashi Torii",
    year = "1998",
    month = "4",
    day = "15",
    language = "English",
    volume = "57",
    pages = "4870--4884",
    journal = "Physical review D: Particles and fields",
    issn = "0556-2821",
    publisher = "American Institute of Physics Publising LLC",
    number = "8",

    }

    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 -