Averaged Energy Inequalities for the Non-Minimally Coupled Classical Scalar Field
arXiv:gr-qc/0606009 · doi:10.1103/PhysRevD.74.044021
Abstract
The stress energy tensor for the classical non-minimally coupled scalar field is known not to satisfy the point-wise energy conditions of general relativity. In this paper we show, however, that local averages of the classical stress energy tensor satisfy certain inequalities. We give bounds for averages along causal geodesics and show, e.g., that in Ricci-flat background spacetimes, ANEC and AWEC are satisfied. Furthermore we use our result to show that in the classical situation we have an analogue to the phenomenon of quantum interest. These results lay the foundations for analogous energy inequalities for the quantised non-minimally coupled fields, which will be discussed elsewhere.
arXiv comment8 pages, RevTeX4. Minor typos corrected; version to appear in Phys Rev D
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Cited by in corpus (14)
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- Singularity theorems from weakened energy conditions
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- Lectures on quantum energy inequalities
- Proof of the averaged null energy condition in a classical curved spacetime using a null-projected quantum inequality
- Averaged null energy condition violation in a conformally flat spacetime
- Traversable Wormholes and Classical Scalar Fields
- Averaged null energy condition in a classical curved background
- A singularity theorem for Einstein-Klein-Gordon theory
- A new derivation of singularity theorems with weakened energy hypotheses
- Dynamical locality of the nonminimally coupled scalar field and enlarged algebra of Wick polynomials
- Positivity Conditions for Generalised Schwarzschild Space-Times
- Bounce and wormholes
- Quintessence-Chameleon transitions in anisotropic Kiselev model of neutron stars