Perturbative superluminal censorship and the null energy condition

Details Perturbative superluminal censorship and the null energy condition Perturbative superluminal censorship and the null energy condition

1999-08-06

arxiv.org/abs/gr-qc/9908023v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages. Uses AIP proceedings style (aipproc.sty). To appear in the Proceedings of the Eighth Canadian Conference on General R

Scientific paper

10.1063/1.1301601

We argue that ``effective'' superluminal travel, potentially caused by the tipping over of light cones in Einstein gravity, is always associated with violations of the null energy condition (NEC). This is most easily seen by working perturbatively around Minkowski spacetime, where we use linearized Einstein gravity to show that the NEC forces the light cones to contract (narrow). Given the NEC, the Shapiro time delay in any weak gravitational field is always a delay relative to the Minkowski background, and never an advance. Furthermore, any object travelling within the lightcones of the weak gravitational field is similarly delayed with respect to the minimum traversal time possible in the background Minkowski geometry.

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