Stability analysis of black holes via a catastrophe theory and black hole thermodynamics in generalized theories of gravity

Takashi Tamaki, Takashi Torii, Keiichi Maeda

    Research output: Contribution to journalArticle

    23 Citations (Scopus)

    Abstract

    We perform a linear perturbation analysis for black hole solutions with a "massive" Yang-Mills field (the Proca field) in Brans-Dicke theory and find that the results are quite consistent with those via catastrophe theory where thermodynamic variables play an intrinsic role. Based on this observation, we show the general relation between these two methods in generalized theories of gravity which are conformally related to the Einstein-Hilbert action.

    Original languageEnglish
    Article number024028
    JournalPhysical Review D
    Volume68
    Issue number2
    DOIs
    Publication statusPublished - 2003

    Fingerprint

    catastrophe theory
    Black Hole Thermodynamics
    Catastrophe theory
    Yang-Mills fields
    Black Holes
    Stability Analysis
    Gravity
    gravitation
    Yang-Mills Field
    perturbation
    thermodynamics
    Perturbation Analysis
    Hilbert
    Albert Einstein
    Thermodynamics
    Observation

    ASJC Scopus subject areas

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

    Cite this

    Stability analysis of black holes via a catastrophe theory and black hole thermodynamics in generalized theories of gravity. / Tamaki, Takashi; Torii, Takashi; Maeda, Keiichi.

    In: Physical Review D, Vol. 68, No. 2, 024028, 2003.

    Research output: Contribution to journalArticle

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