Stability of a dilatonic black hole with a Gauss-Bonnet term

Takashi Torii, Keiichi Maeda

    Research output: Contribution to journalArticle

    29 Citations (Scopus)

    Abstract

    We investigate the stability of black hole solutions in an effective theory derived from a superstring model, which includes a dilaton field and the Gauss-Bonnet term. The critical solution, below which mass no static solution exists, divides a family of solutions in the mass-entropy diagram into two. The upper branch approaches the Schwarzschild solution in the large mass limit, while the lower branch ends up with a singular solution which has a naked singularity. In order to investigate the stability of black hole solutions, we adopt two methods. The first one is catastrophe theory, with which we discuss the stability of non-Abel an black holes in general relativity. The present system is classified as a fold catastrophe, which is the simplest case. Following catastrophe theory, if we regard entropy and mass as the potential and the control parameter, respectively, we find the lower branch is more unstable than the upper branch. To confirm this, we study the second method, which is a linear perturbation analysis. We find an unstable mode only for the solutions in the lower branch. Hence, our investigation presents one example that catastrophe theory is also applicable for a generalized theory of gravity.

    Original languageEnglish
    Article number084004
    Pages (from-to)840041-8400413
    Number of pages7560373
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume58
    Issue number8
    Publication statusPublished - 1998 Oct 15

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    catastrophe theory
    Gauss
    Black Holes
    Catastrophe theory
    Branch
    Term
    entropy
    naked singularities
    Unstable
    Entropy
    Superstring
    Catastrophe
    Singular Solutions
    Dilaton
    Perturbation Analysis
    relativity
    General Relativity
    Control Parameter
    diagrams
    Divides

    ASJC Scopus subject areas

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

    Cite this

    Stability of a dilatonic black hole with a Gauss-Bonnet term. / Torii, Takashi; Maeda, Keiichi.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 58, No. 8, 084004, 15.10.1998, p. 840041-8400413.

    Research output: Contribution to journalArticle

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