Averaged Energy Conditions and Quantum Inequalities

Details Averaged Energy Conditions and Quantum Inequalities Averaged Energy Conditions and Quantum Inequalities

1994-10-29

arxiv.org/abs/gr-qc/9410043v1

Phys.Rev.D51:4277-4286,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20pp, plain LATEX, TUTP-94-16

Scientific paper

10.1103/PhysRevD.51.4277

Connections are uncovered between the averaged weak (AWEC) and averaged null (ANEC) energy conditions, and quantum inequality restrictions on negative energy for free massless scalar fields. In a two-dimensional compactified Minkowski universe, we derive a covariant quantum inequality-type bound on the difference of the expectation values of the energy density in an arbitrary quantum state and in the Casimir vacuum state. From this bound, it is shown that the difference of expectation values also obeys AWEC and ANEC-type integral conditions. In contrast, it is well-known that the stress tensor in the Casimir vacuum state alone satisfies neither quantum inequalities nor averaged energy conditions. Such difference inequalities represent limits on the degree of energy condition violation that is allowed over and above any violation due to negative energy densities in a background vacuum state. In our simple two-dimensional model, they provide physically interesting examples of new constraints on negative energy which hold even when the usual AWEC, ANEC, and quantum inequality restrictions fail. In the limit when the size of the space is allowed to go to infinity, we derive quantum inequalities for timelike and null geodesics which, in appropriate limits, reduce to AWEC and ANEC in ordinary two-dimensional Minkowski spacetime. We also derive a quantum inequality bound on the energy density seen by an inertial observer in four-dimensional Minkowski spacetime. The bound implies that any inertial observer in flat spacetime cannot see an arbitrarily large negative energy density which lasts for an arbitrarily long period of time.

Affiliated with

Also associated with

No associations

Rating

Averaged Energy Conditions and Quantum Inequalities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Averaged Energy Conditions and Quantum Inequalities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Averaged Energy Conditions and Quantum Inequalities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-642177