Alcubierre warp drive in spherical coordinates with some matter configurations

Gabriel Abellán; Nelson Bolivar; Ivaylo Vasilev

doi:10.1140/epjc/s10052-022-11091-5

2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 7
https://doi.org/10.1140/epjc/s10052-022-11091-5

Regular Article - Theoretical Physics

Alcubierre warp drive in spherical coordinates with some matter configurations

Gabriel Abellán¹^,4, Nelson Bolivar¹^,2^,4^b and Ivaylo Vasilev³^,4

¹ Departamento de Física, Facultad de Ciencias, Universidad Central de Venezuela, Av. Los Ilustres, 1041-A, Caracas, Venezuela
² Instituto Balseiro, Centro Atómico Bariloche, Comisión Nacional de Energía Atómica (CNEA), Universidad Nacional de Cuyo (UNCUYO), 8400, Bariloche, Argentina
³ Technical University of Sofia, 1000, Sofia, Bulgaria
⁴ Astrum Drive Technologies, 13024 Dallas Pkwy Unit #120 B, Frisco, 75034, TX, USA

^b nelsonbolivar@cnea.gob.ar, nelson@astrumdrive.com

Received: 29 July 2022
Accepted: 30 November 2022
Published online: 9 January 2023

Abstract

In this work we introduce the Alcubierre warp metric using spherical symmetry. In this way we write the Einstein equations for a perfect fluid and for an anisotropic fluid with cosmological constant. Analysing the energy conditions for both cases, we find that these cases are flexible enough to allow them to be satisfied. We also find that in the time-independent case of the warp bubble, the metric admits a timelike Killing vector and all the energy conditions are satisfied except for the strong energy condition. Moreover, in the time-independent case a barotropic equation of state known from cosmological models naturally arises.

© The Author(s) 2022

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