TL;DR
This paper demonstrates theoretically how general relativity allows for a warp drive-like spacetime distortion enabling faster-than-light travel without wormholes, but requires exotic matter to create such distortions.
Contribution
It introduces a method to modify spacetime locally within general relativity to achieve superluminal travel without relying on wormholes.
Findings
Faster-than-light travel is theoretically possible within general relativity.
Exotic matter is necessary to generate the required spacetime distortions.
The proposed warp drive resembles science fiction concepts but is grounded in physics.
Abstract
It is shown how, within the framework of general relativity and without the introduction of wormholes, it is possible to modify a spacetime in a way that allows a spaceship to travel with an arbitrarily large speed. By a purely local expansion of spacetime behind the spaceship and an opposite contraction in front of it, motion faster than the speed of light as seen by observers outside the disturbed region is possible. The resulting distortion is reminiscent of the ``warp drive'' of science fiction. However, just as it happens with wormholes, exotic matter will be needed in order to generate a distortion of spacetime like the one discussed here.
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