Positive mass from holographic causality.
For (n+1)-dimensional asymptotically anti-de Sitter (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> or =3, without the assumption of any local energy condition. We make crucial use of a time-delay formula relating the Ashtekar-Magnon mass of the spacetime to the time delay of a bulk null curve relative to that of a boundary null geodesic. We also discuss holographic causality for the negative mass AdS soliton and its implications for the positive energy conjecture of Horowitz and Myers.
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Don N
DN
Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, Canada T6G 2J1. don@phys.ualberta.ca
Surya
Sumati
S
Woolgar
Eric
E