Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP03(2014)068
Keywords
Gauge-gravity correspondence; AdS-CFT Correspondence; Classical Theories of Gravity; Spacetime Singularities
Categories
Funding
- National Science Foundation [PHY12-05500, DGE-1144085]
- Simons Foundation
- Direct For Mathematical & Physical Scien
- Division Of Physics [1205500] Funding Source: National Science Foundation
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We present a generic condition for Lorentzian manifolds to have a barrier that limits the reach of boundary-anchored extremal surfaces of arbitrary dimension. We show that any surface with nonpositive extrinsic curvature is a barrier, in the sense that extremal surfaces cannot be continuously deformed past it. Furthermore, the outermost barrier surface has nonnegative extrinsic curvature. Under certain conditions, we show that the existence of trapped surfaces implies a barrier, and conversely. In the context of AdS/CFT, these barriers imply that it is impossible to reconstruct the entire bulk using extremal surfaces. We comment on the implications for the firewall controversy.
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