Positive Mass from Holographic Causality
Abstract
For n+1 dimensional asymptotically AdS spacetimes which have holographic duals on their n dimensional conformal boundaries, we show that the imposition of causality on the boundary theory is sufficient to prove positivity of mass for the spacetime when n > 2, without the assumption of any local energy condition. We make crucial use of a generalization of the time-delay formula calculated in gr-qc/9404019, which relates the time delay of a bulk null curve with respect to a boundary null geodesic to the Ashtekar-Magnon mass of the spacetime. We also discuss holographic causality for the negative mass AdS soliton and its implications for the positive energy conjecture of Horowitz and Myers.
Keywords
Cite
@article{arxiv.hep-th/0204198,
title = {Positive Mass from Holographic Causality},
author = {Don N. Page and Sumati Surya and Eric Woolgar},
journal= {arXiv preprint arXiv:hep-th/0204198},
year = {2009}
}
Comments
Latex, 10 pages, 1 figure. Statement of theorem and proof modified. Typos corrected