Classical and semi-classical energy conditions
arXiv:1702.05915
Abstract
The standard energy conditions of classical general relativity are (mostly) linear in the stress-energy tensor, and have clear physical interpretations in terms of geodesic focussing, but suffer the significant drawback that they are often violated by semi-classical quantum effects. In contrast, it is possible to develop non-standard energy conditions that are intrinsically non-linear in the stress-energy tensor, and which exhibit much better well-controlled behaviour when semi-classical quantum effects are introduced, at the cost of a less direct applicability to geodesic focussing. In this article we will first review the standard energy conditions and their various limitations. (Including the connection to the Hawking--Ellis type I, II, III, and IV classification of stress-energy tensors). We shall then turn to the averaged, nonlinear, and semi-classical energy conditions, and see how much can be done once semi-classical quantum effects are included.
V1: 25 pages. Draft chapter, on which the related chapter of the book "Wormholes, Warp Drives and Energy Conditions" (to be published by Springer), will be based. V2: typos fixed. V3: small typo fixed
References in corpus (53)
- Phantom Energy and Cosmic Doomsday
- Traversable wormholes: Some simple examples
- Traversable wormholes with arbitrarily small energy condition violations
- The warp drive: hyper-fast travel within general relativity
- Phantom energy traversable wormholes
- G-inflation: inflation driven by the Galileon field
- Geometric structure of the generic static traversable wormhole throat
- Does backreaction enforce the averaged null energy condition in semiclassical gravity?
- Dynamic wormholes, anti-trapped surfaces, and energy conditions
- Wormhole geometries in modified teleparralel gravity and the energy conditions
- The null energy condition in dynamic wormholes
- Averaged Energy Conditions and Quantum Inequalities
- Linearized stability analysis of thin-shell wormholes with a cosmological constant
- Natural Wormholes as Gravitational Lenses
- Energy's and amplitudes' positivity
- Energy conditions and galaxy formation
- Energy conditions in the epoch of galaxy formation
- Proof of the Quantum Null Energy Condition
- Generic spherically symmetric dynamic thin-shell traversable wormholes in standard general relativity
- Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
- Generalized energy conditions in Extended Theories of Gravity
- Chaplygin traversable wormholes
- General Relativistic Energy Conditions: The Hubble expansion in the epoch of galaxy formation
- Worse than a big rip?
- Minimal conditions for the creation of a Friedman-Robertson-Walker universe from a "bounce"
- Gravitational vacuum polarization II: Energy conditions in the Boulware vacuum
- Fundamental limitations on "warp drive" spacetimes
- Achronal averaged null energy condition
- Energy conditions, traversable wormholes and dust shells
- Gravitational vacuum polarization IV: Energy conditions in the Unruh vacuum
- Gravitational vacuum polarization I: Energy conditions in the Hartle--Hawking vacuum
- Brane surgery: energy conditions, traversable wormholes, and voids
- Superluminal censorship
- R=0 spacetimes and self-dual Lorentzian wormholes
- Scale anomalies imply violation of the averaged null energy condition
- On the generalised Chaplygin gas: worse than a big rip or quieter than a sudden singularity?
- Wormholes minimally violating the null energy condition
- Classical and quantum flux energy conditions for quantum vacuum states
- Averaged Energy Conditions and Evaporating Black Holes
- Tolman wormholes violate the strong energy condition
- Weak energy condition violation and superluminal travel
- New "Bigs" in cosmology
- Derivation of the Null Energy Condition
- Entropy bounds in terms of the w parameter
- The quantum physics of chronology protection
- The quantum realm of the "Little Sibling" of the Big Rip singularity
- Some generalizations of the Raychaudhuri equation
- Thermodynamic Origin of the Null Energy Condition
- If vacuum energy can be negative, why is mass always positive?: Uses of the subdominant trace energy condition
- General Dynamic Wormholes and Violation of the Null Energy Condition
- Quasilocal energy conditions
- Logarithmic Corrections to Gravitational Entropy and the Null Energy Condition
- Semiclassical energy conditions and wormholes