Gravitational Mass in Asymptotically de Sitter Space-Times with Compactified Dimensions
arXiv:hep-th/9902049 · doi:10.1103/PhysRevD.60.064019
Abstract
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.
7 pages, the version to be published in Phys. Rev. D
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