Gravitational mass in asymptotically de Sitter spacetimes

Ken Ichi Nakao*, Tetsuya Shiromizu, Kei Ichi Maeda

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


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
Issue number8
Publication statusPublished - 1994

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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