Black hole in the expanding universe with arbitrary power-law expansion

Keiichi Maeda, Masato Nozawa

    Research output: Contribution to journalArticle

    29 Citations (Scopus)

    Abstract

    We present a time-dependent and spatially inhomogeneous solution that interpolates the extremal Reissner-Nordström (RN) black hole and the Friedmann-Lemaître-Robertson-Walker (FLRW) universe with arbitrary power-law expansion. It is an exact solution of the D-dimensional Einstein-Maxwell-dilaton system, where two Abelian gauge fields couple to the dilaton with different coupling constants, and the dilaton field has a Liouville-type exponential potential. It is shown that the system satisfies the weak energy condition. The solution involves two harmonic functions on a (D-1)-dimensional Ricci-flat base space. In the case where the harmonics have a single-point source on the Euclidean space, we find that the spacetime describes a spherically symmetric charged black hole in the FLRW universe, which is characterized by three parameters: the steepness parameter of the dilaton potential nT, the U(1) charge Q, and the nonextremality τ. In contrast with the extremal RN solution, the spacetime admits a nondegenerate Killing horizon unless these parameters are finely tuned. The global spacetime structures are discussed in detail.

    Original languageEnglish
    Article number124038
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume81
    Issue number12
    DOIs
    Publication statusPublished - 2010 Jun 18

    Fingerprint

    universe
    expansion
    harmonic functions
    Euclidean geometry
    point sources
    horizon
    slopes
    harmonics
    energy

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Black hole in the expanding universe with arbitrary power-law expansion. / Maeda, Keiichi; Nozawa, Masato.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 81, No. 12, 124038, 18.06.2010.

    Research output: Contribution to journalArticle

    @article{18ceea8fe4b74e09a1a85b444696390f,
    title = "Black hole in the expanding universe with arbitrary power-law expansion",
    abstract = "We present a time-dependent and spatially inhomogeneous solution that interpolates the extremal Reissner-Nordstr{\"o}m (RN) black hole and the Friedmann-Lema{\^i}tre-Robertson-Walker (FLRW) universe with arbitrary power-law expansion. It is an exact solution of the D-dimensional Einstein-Maxwell-dilaton system, where two Abelian gauge fields couple to the dilaton with different coupling constants, and the dilaton field has a Liouville-type exponential potential. It is shown that the system satisfies the weak energy condition. The solution involves two harmonic functions on a (D-1)-dimensional Ricci-flat base space. In the case where the harmonics have a single-point source on the Euclidean space, we find that the spacetime describes a spherically symmetric charged black hole in the FLRW universe, which is characterized by three parameters: the steepness parameter of the dilaton potential nT, the U(1) charge Q, and the nonextremality τ. In contrast with the extremal RN solution, the spacetime admits a nondegenerate Killing horizon unless these parameters are finely tuned. The global spacetime structures are discussed in detail.",
    author = "Keiichi Maeda and Masato Nozawa",
    year = "2010",
    month = "6",
    day = "18",
    doi = "10.1103/PhysRevD.81.124038",
    language = "English",
    volume = "81",
    journal = "Physical review D: Particles and fields",
    issn = "0556-2821",
    publisher = "American Institute of Physics Publising LLC",
    number = "12",

    }

    TY - JOUR

    T1 - Black hole in the expanding universe with arbitrary power-law expansion

    AU - Maeda, Keiichi

    AU - Nozawa, Masato

    PY - 2010/6/18

    Y1 - 2010/6/18

    N2 - We present a time-dependent and spatially inhomogeneous solution that interpolates the extremal Reissner-Nordström (RN) black hole and the Friedmann-Lemaître-Robertson-Walker (FLRW) universe with arbitrary power-law expansion. It is an exact solution of the D-dimensional Einstein-Maxwell-dilaton system, where two Abelian gauge fields couple to the dilaton with different coupling constants, and the dilaton field has a Liouville-type exponential potential. It is shown that the system satisfies the weak energy condition. The solution involves two harmonic functions on a (D-1)-dimensional Ricci-flat base space. In the case where the harmonics have a single-point source on the Euclidean space, we find that the spacetime describes a spherically symmetric charged black hole in the FLRW universe, which is characterized by three parameters: the steepness parameter of the dilaton potential nT, the U(1) charge Q, and the nonextremality τ. In contrast with the extremal RN solution, the spacetime admits a nondegenerate Killing horizon unless these parameters are finely tuned. The global spacetime structures are discussed in detail.

    AB - We present a time-dependent and spatially inhomogeneous solution that interpolates the extremal Reissner-Nordström (RN) black hole and the Friedmann-Lemaître-Robertson-Walker (FLRW) universe with arbitrary power-law expansion. It is an exact solution of the D-dimensional Einstein-Maxwell-dilaton system, where two Abelian gauge fields couple to the dilaton with different coupling constants, and the dilaton field has a Liouville-type exponential potential. It is shown that the system satisfies the weak energy condition. The solution involves two harmonic functions on a (D-1)-dimensional Ricci-flat base space. In the case where the harmonics have a single-point source on the Euclidean space, we find that the spacetime describes a spherically symmetric charged black hole in the FLRW universe, which is characterized by three parameters: the steepness parameter of the dilaton potential nT, the U(1) charge Q, and the nonextremality τ. In contrast with the extremal RN solution, the spacetime admits a nondegenerate Killing horizon unless these parameters are finely tuned. The global spacetime structures are discussed in detail.

    UR - http://www.scopus.com/inward/record.url?scp=77955339658&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=77955339658&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevD.81.124038

    DO - 10.1103/PhysRevD.81.124038

    M3 - Article

    AN - SCOPUS:77955339658

    VL - 81

    JO - Physical review D: Particles and fields

    JF - Physical review D: Particles and fields

    SN - 0556-2821

    IS - 12

    M1 - 124038

    ER -