Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-04-24
Phys.Rev.Lett. 89 (2002) 121301
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 10 pages, 1 figure. Statement of theorem and proof modified. Typos corrected
Scientific paper
10.1103/PhysRevLett.89.121301
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.
Page Don N.
Surya Sumati
Woolgar Eric
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