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arXiv · 1207.2914

The positive energy theorem for asymptotically anti-de Sitter spacetimes

Yaohua Wang·Naqing Xie·Xiao Zhang
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Abstract

We establish the inequality for Henneaux-Teitelboim's total energy-momentum for asymptotically anti-de Sitter initial data sets which are asymptotic to arbitrary $t$-slice in anti-de Sitter spacetime. In particular, when $t=0$, it generalizes Chruściel-Maerten-Tod's inequality in the center of AdS mass coordinates. We also show that the determinant of energy-momentum endomorphism ${\bf Q}$ is the geometric invariant of asymptotically anti-de Sitter spacetimes.

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Yaohua Wang, Naqing Xie, Xiao Zhang. 2015-02-17. The positive energy theorem for asymptotically anti-de Sitter spacetimes. https://doi.org/10.1142/s0219199715500157

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