The Spacetime Metric

In one minute

Alcubierre’s 1994 paper specifies a mathematical geometry in which space expands behind a moving region and contracts ahead of it. A spacecraft at its center follows a freely falling path, remaining below the local speed of light even when distant observers assign it faster-than-light motion. In the prescribed geometry, its clock runs at the same rate as distant clocks during this central trajectory. Tidal forces near the spacecraft can be small for suitable size and shape parameters, while forces near the boundary can be large. Calculating the required matter and energy reveals negative energy density and violations of classical energy conditions. The paper invokes quantum examples such as the Casimir effect but supplies no method for producing the required distribution.

The warp drive: hyper-fast travel within general relativity

  1. Miguel Alcubierre(Author)

Publication and identifiers

Work type
Paper
Year
1994
Publisher
IOP Publishing
Edition
Classical and Quantum Gravity, 1994 journal paper, volume 11 issue 5, L73–L77; held arXiv:gr-qc/0009013v1 uploaded 5 September 2000

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Original title
The warp drive: hyper-fast travel within general relativity
Attribution
  1. Miguel Alcubierre(Author)
Year
1994
Publisher
IOP Publishing
Edition
Classical and Quantum Gravity, 1994 journal paper, volume 11 issue 5, L73–L77; held arXiv:gr-qc/0009013v1 uploaded 5 September 2000

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