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Weak energy condition violation and superluminal travel

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arxiv gr-qc/0204038 v2 pith:V73XV6BP submitted 2002-04-09 gr-qc

classification gr-qc
keywords travelsuperluminalenergysolutionsspace-timesalcubierreallowalthough
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Recent solutions to the Einstein Field Equations involving negative energy densities, i.e., matter violating the weak-energy-condition, have been obtained, namely traversable wormholes, the Alcubierre warp drive and the Krasnikov tube. These solutions are related to superluminal travel, although locally the speed of light is not surpassed. It is difficult to define faster-than-light travel in generic space-times, and one can construct metrics which apparently allow superluminal travel, but are in fact flat Minkowski space-times. Therefore, to avoid these difficulties it is important to provide an appropriate definition of superluminal travel.

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Cited by 1 Pith paper

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  1. The Warp Drive: Superluminal Travel within General Relativity

    gr-qc 2025-08 reject novelty 3.0 of 10

    Coupled fluid sources to the Alcubierre warp drive metric yield Einstein equation solutions, some satisfying energy conditions, but none forming a localized warp bubble.

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