Spacetime Averaged Null Energy Condition

Abstract

The averaged null energy condition has known violations for quantum fields in curved space, even if one considers only achronal geodesics. Many such examples involve rapid variation in the stress-energy tensor in the vicinity of the geodesic under consideration, giving rise to the possibility that averaging in additional dimensions would yield a principle universally obeyed by quantum fields. However, after discussing various procedures for additional averaging, including integrating over all dimensions of the manifold, we give a class of examples that violate any such averaged condition.

7 pages

References in corpus (4)

• Achronal averaged null energy condition
• Null energy conditions in quantum field theory
• Averaged null energy condition in spacetimes with boundaries
• Averaged null energy condition violation in a conformally flat spacetime

Cited by in corpus (9)

• A holographic proof of the averaged null energy condition
• Singularity theorems from weakened energy conditions
• Confined-exotic-matter wormholes with no gluing effects -- Imaging supermassive wormholes and black holes
• Derivation of the Null Energy Condition
• Scale invariance vs conformal invariance
• Averaged null energy condition in a classical curved background
• Quantum Spacetime Instability and Breakdown of Semiclassical Gravity
• Does anomalous violation of null energy condition invalidate holographic c-theorem?
• Spacetime Instability and Quantum Gravity as Low Energy Effective Field Theory