Averaged null energy condition in a classical curved background
arXiv:1212.2290 · doi:10.1103/PhysRevD.87.064009
Abstract
The Averaged Null Energy Condition (ANEC) states that the integral along a complete null geodesic of the projection of the stress-energy tensor onto the tangent vector to the geodesic cannot be negative. Exotic spacetimes, such as those allow wormholes or the construction of time machines are possible in general relativity only if ANEC is violated along achronal geodesics. Starting from a conjecture that flat-space quantum inequalities apply with small corrections in spacetimes with small curvature, we prove that ANEC is obeyed by a minimally-coupled, free quantum scalar field on any achronal null geodesic surrounded by a tubular neighborhood whose curvature is produced by a classical source.
References in corpus (14)
- Scalar fields, energy conditions, and traversable wormholes
- Quantum Field Theory Constrains Traversable Wormhole Geometries
- Traversable wormholes from massless conformally coupled scalar fields
- A general worldline quantum inequality
- Achronal averaged null energy condition
- Null energy conditions in quantum field theory
- Scale anomalies imply violation of the averaged null energy condition
- Absolute quantum energy inequalities in curved spacetime
- Quantum Energy Inequalities for the Non-Minimally Coupled Scalar Field
- Averaged null energy condition in spacetimes with boundaries
- Averaged null energy condition violation in a conformally flat spacetime
- Averaged Energy Inequalities for the Non-Minimally Coupled Classical Scalar Field
- Spacetime Averaged Null Energy Condition
- Regularity for Lorentz Metrics under Curvature Bounds
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- Quantum inequality in spacetimes with small curvature
- The Quantum Null Energy Condition in Curved Space
- Global aspects of conformal symmetry and the ANEC in dS and AdS
- How Much NEC Breaking Can the Universe Endure?
- Quantum inequality for a scalar field with a background potential
- Multi-step Fermi normal coordinates
- Wormhole restrictions from quantum energy inequalities
- Averaged null energy condition and quantum inequalities in curved spacetime
- Renormalized Quantum Stress-Energy Tensor of a Nonzero Radius Cosmic String
- Schwarzschild Quantum Fluctuations from Regge-Wheeler Scattering
- Classification of quantum states based on the null energy condition