Positivity of energy for asymptotically locally AdS spacetimes

Details Positivity of energy for asymptotically locally AdS spacetimes Positivity of energy for asymptotically locally AdS spacetimes

2005-06-15

arxiv.org/abs/hep-th/0506123v3

JHEP 0508 (2005) 107

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, 1 figure; minor corrections, JHEP version

Scientific paper

10.1088/1126-6708/2005/08/107

We derive necessary conditions for the spinorial Witten-Nester energy to be well-defined for asymptotically locally AdS spacetimes. We find that the conformal boundary should admit a spinor satisfying certain differential conditions and in odd dimensions the boundary metric should be conformally Einstein. We show that these conditions are satisfied by asymptotically AdS spacetimes. The gravitational energy (obtained using the holographic stress energy tensor) and the spinorial energy are equal in even dimensions and differ by a bounded quantity related to the conformal anomaly in odd dimensions.

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