Dust content solutions for the Alcubierre warp drive spacetime

Autor: Marcelo B. Ribeiro, Osvaldo L. Santos-Pereira, Everton M. C. Abreu
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 80, Iss 8, Pp 1-8 (2020)
European Physical Journal
ISSN: 1434-6052
1434-6044
DOI: 10.1140/epjc/s10052-020-8355-2
Popis: The Alcubierre metric is a spacetime geometry where a massive particle inside a spacetime distortion, called warp bubble, is able to travel at velocities arbitrarily higher than the velocity of light, a feature known as the warp drive. This is a consequence of general relativity, which allows global superluminal velocities but restricts local speeds to subluminal ones as required by special relativity. In this work we solved the Einstein equations for the Alcubierre warp drive spacetime geometry considering the dust matter distribution as source, since the Alcubierre metric was not originally advanced as a solution of the Einstein equations, but as a spacetime geometry proposed without a source gravity field. We found out that all Einstein equations solutions of this geometry containing pressureless dust lead to vacuum solutions. We also concluded that these solutions connect the Alcubierre metric to the Burgers equation, which describes shock waves moving through an inviscid fluid. Our results also indicated that these shock waves behave as plane waves.
Comment: 15 pages, 1 figure. LaTeX. Accepted for publication in the European Physical Journal C
Databáze: OpenAIRE
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