Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-02-06
Phys.Rev. D60 (1999) 064019
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, the version to be published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.60.064019
We define gravitational mass in asymptotically de Sitter space-times with compactified dimension. It was shown that the mass can be negative for space-time with matter spreading beyond the cosmological horizon scale or large outward `momentum' in four dimension. We give simple examples with negative energy in higher dimensions even if the matter is not beyond horizon or system does not have large `momentum'. They do not have the lower bound on the mass. We also give a positive energy argument in higher dimensions and realise that elementary fermion cannot exist in our examples.
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