Dynamical evolution of gravitational waves in asymptotically de Sitter spacetime

Masaru Shibata, Ken Ichi Nakao, Takashi Nakamura, Keiichi Maeda

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    Abstract

    We perform numerical computations to investigate the dynamical evolution of axisymmetric gravitational waves in asymptotically de Sitter spacetime. The final fates of such spacetimes are classified into two types: (1) de Sitter spacetime with small perturbations, and (2) Schwarzschild de Sitter like spacetime with both black-hole and cosmological apparent horizons. We also find that if the mass of gravitational waves is larger than the critical value, Mcrit(3) -1, then the black hole is not formed even in the case that there exist highly nonlinear localized gravitational waves. In such a case, the Universe is initially dominated by gravitational waves rather than a cosmological constant and eventually approaches a de Sitter universe. These results are consistent with the previous analysis by use of initial data.

    Original languageEnglish
    Pages (from-to)708-719
    Number of pages12
    JournalPhysical Review D
    Volume50
    Issue number2
    DOIs
    Publication statusPublished - 1994

    Fingerprint

    gravitational waves
    universe
    horizon
    perturbation

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

    Cite this

    Dynamical evolution of gravitational waves in asymptotically de Sitter spacetime. / Shibata, Masaru; Nakao, Ken Ichi; Nakamura, Takashi; Maeda, Keiichi.

    In: Physical Review D, Vol. 50, No. 2, 1994, p. 708-719.

    Research output: Contribution to journalArticle

    Shibata, Masaru ; Nakao, Ken Ichi ; Nakamura, Takashi ; Maeda, Keiichi. / Dynamical evolution of gravitational waves in asymptotically de Sitter spacetime. In: Physical Review D. 1994 ; Vol. 50, No. 2. pp. 708-719.
    @article{6513199272bd4ef38664250b6c37e2a1,
    title = "Dynamical evolution of gravitational waves in asymptotically de Sitter spacetime",
    abstract = "We perform numerical computations to investigate the dynamical evolution of axisymmetric gravitational waves in asymptotically de Sitter spacetime. The final fates of such spacetimes are classified into two types: (1) de Sitter spacetime with small perturbations, and (2) Schwarzschild de Sitter like spacetime with both black-hole and cosmological apparent horizons. We also find that if the mass of gravitational waves is larger than the critical value, Mcrit(3) -1, then the black hole is not formed even in the case that there exist highly nonlinear localized gravitational waves. In such a case, the Universe is initially dominated by gravitational waves rather than a cosmological constant and eventually approaches a de Sitter universe. These results are consistent with the previous analysis by use of initial data.",
    author = "Masaru Shibata and Nakao, {Ken Ichi} and Takashi Nakamura and Keiichi Maeda",
    year = "1994",
    doi = "10.1103/PhysRevD.50.708",
    language = "English",
    volume = "50",
    pages = "708--719",
    journal = "Physical review D: Particles and fields",
    issn = "0556-2821",
    publisher = "American Institute of Physics Publising LLC",
    number = "2",

    }

    TY - JOUR

    T1 - Dynamical evolution of gravitational waves in asymptotically de Sitter spacetime

    AU - Shibata, Masaru

    AU - Nakao, Ken Ichi

    AU - Nakamura, Takashi

    AU - Maeda, Keiichi

    PY - 1994

    Y1 - 1994

    N2 - We perform numerical computations to investigate the dynamical evolution of axisymmetric gravitational waves in asymptotically de Sitter spacetime. The final fates of such spacetimes are classified into two types: (1) de Sitter spacetime with small perturbations, and (2) Schwarzschild de Sitter like spacetime with both black-hole and cosmological apparent horizons. We also find that if the mass of gravitational waves is larger than the critical value, Mcrit(3) -1, then the black hole is not formed even in the case that there exist highly nonlinear localized gravitational waves. In such a case, the Universe is initially dominated by gravitational waves rather than a cosmological constant and eventually approaches a de Sitter universe. These results are consistent with the previous analysis by use of initial data.

    AB - We perform numerical computations to investigate the dynamical evolution of axisymmetric gravitational waves in asymptotically de Sitter spacetime. The final fates of such spacetimes are classified into two types: (1) de Sitter spacetime with small perturbations, and (2) Schwarzschild de Sitter like spacetime with both black-hole and cosmological apparent horizons. We also find that if the mass of gravitational waves is larger than the critical value, Mcrit(3) -1, then the black hole is not formed even in the case that there exist highly nonlinear localized gravitational waves. In such a case, the Universe is initially dominated by gravitational waves rather than a cosmological constant and eventually approaches a de Sitter universe. These results are consistent with the previous analysis by use of initial data.

    UR - http://www.scopus.com/inward/record.url?scp=0011606068&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=0011606068&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevD.50.708

    DO - 10.1103/PhysRevD.50.708

    M3 - Article

    AN - SCOPUS:0011606068

    VL - 50

    SP - 708

    EP - 719

    JO - Physical review D: Particles and fields

    JF - Physical review D: Particles and fields

    SN - 0556-2821

    IS - 2

    ER -