Gravitational mass in asymptotically de Sitter spacetimes

Ken Ichi Nakao, Tetsuya Shiromizu, Keiichi Maeda

    Research output: Contribution to journalArticle

    20 Citations (Scopus)

    Abstract

    The Abbott - Deser (AD) mass in asymptotically de Sitter spacetime is a conserved Killing 'energy'. We show that the AD mass can be negative in some situations but may still deserve the title of 'gravitational mass'. In order to see the property of negative AD mass we consider the Tolman - Bondi dust sphere solution. The negative AD mass prevents the dust sphere's gravitational collapse. Rather it causes cosmic expansion, resulting in isotropic and homogeneous de Sitter spacetime locally. As a result, the cosmic no hair conjecture holds even though the AD mass may be negative.

    Original languageEnglish
    Article number012
    Pages (from-to)2059-2071
    Number of pages13
    JournalClassical and Quantum Gravity
    Volume11
    Issue number8
    DOIs
    Publication statusPublished - 1994

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    dust
    gravitational collapse
    hair
    expansion
    causes
    energy

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Gravitational mass in asymptotically de Sitter spacetimes. / Nakao, Ken Ichi; Shiromizu, Tetsuya; Maeda, Keiichi.

    In: Classical and Quantum Gravity, Vol. 11, No. 8, 012, 1994, p. 2059-2071.

    Research output: Contribution to journalArticle

    Nakao, Ken Ichi ; Shiromizu, Tetsuya ; Maeda, Keiichi. / Gravitational mass in asymptotically de Sitter spacetimes. In: Classical and Quantum Gravity. 1994 ; Vol. 11, No. 8. pp. 2059-2071.
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