Numerical study of cosmic no-hair conjecture. II. Analysis of initial data

Ken Ichi Nakao, Keiichi Maeda, Takashi Nakamura, Ken Ichi Oohara

    Research output: Contribution to journalArticle

    15 Citations (Scopus)

    Abstract

    We investigate the initial data for localized gravitational waves in space-time with a cosmological constant. Using a conformal transformation, we find that the Hamiltonian and momentum constraints in the conformal frame turn out to be the same as those for a vacuum space-time without. As initial data, we consider Brill's waves in the conformal frame and discuss the trapped and antitrapped surfaces in the physical frame. Just as Brill's wave in asymptotically flat space-time, the gravitational "mass" of our case is positive; however, the waves with a large gravitational mass do not always provide trapped surfaces in contrast with the case of =0. The large amount of gravitational waves, hence, does not seem to be an obstacle to the cosmic no-hair conjecture.

    Original languageEnglish
    Pages (from-to)3194-3202
    Number of pages9
    JournalPhysical Review D
    Volume47
    Issue number8
    DOIs
    Publication statusPublished - 1993

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    gravitational waves
    conformal mapping
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    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

    Cite this

    Numerical study of cosmic no-hair conjecture. II. Analysis of initial data. / Nakao, Ken Ichi; Maeda, Keiichi; Nakamura, Takashi; Oohara, Ken Ichi.

    In: Physical Review D, Vol. 47, No. 8, 1993, p. 3194-3202.

    Research output: Contribution to journalArticle

    Nakao, Ken Ichi ; Maeda, Keiichi ; Nakamura, Takashi ; Oohara, Ken Ichi. / Numerical study of cosmic no-hair conjecture. II. Analysis of initial data. In: Physical Review D. 1993 ; Vol. 47, No. 8. pp. 3194-3202.
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