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arXiv · 1505.00214

Penrose's quasi-local mass for asymptotically anti-de Sitter space-times

Ron Kelly·Paul Tod
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Abstract

Penrose's quasi-local mass construction is carried through for two-surfaces at infinity in asymptotically anti-de Sitter space-times. A modification of the Witten argument is given to prove a positivity property of the resulting conserved quantities. [This work formed part of Ron Kelly's Oxford D.Phil. thesis, and the first person pronoun refers to him. It appeared in hand-written form as `Asymptotically anti-de Sitter space-times' in Twistor Newsletter 20 (1985) pp11-23 (available at http://people.maths.ox.ac.uk/lmason/Tn/TN1-25), but is appearing type-set for the first time here. Footnotes marked ${\bf{PT}}$ have been added for this version by Paul Tod, in the hope of making this work available to a wider audience.]

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Ron Kelly, Paul Tod. 2015-05-01. Penrose's quasi-local mass for asymptotically anti-de Sitter space-times. https://arxiv.org/abs/1505.00214

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