Averaged Energy Inequalities for the Non-Minimally Coupled Classical Scalar Field

Details Averaged Energy Inequalities for the Non-Minimally Coupled Classical Scalar Field Averaged Energy Inequalities for the Non-Minimally Coupled Classical Scalar Field

2006-06-02

arxiv.org/abs/gr-qc/0606009v2

Phys.Rev.D74:044021,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, RevTeX4. Minor typos corrected; version to appear in Phys Rev D

Scientific paper

10.1103/PhysRevD.74.044021

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.

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