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Warp drive solutions in spherical coordinates with anisotropic matter configurations
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In this work we study the influence of isotropic and anisotropic fluids on the spherically symmetric warp metric. We evaluate the energy conditions and the influence of including a cosmological constant type term. We find that, considering this term, there is a trade-off between the weak and strong energy conditions. The obtained solutions are numerical and we solve the system for both the stationary and the full regime. The influence of imposing the zero expansion condition has been explored. We find a wide diversity of behaviours for the solutions. In general there are regions of spacetime where the energy conditions can be at least partially satisfied. Finally, we calculate the value of the total mass using the density found in the numerical simulations, finding examples where it remains positive during the entire evolution of the system.
Forward citations
Cited by 2 Pith papers
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Shift vector sign reversal in the Alcubierre warp drive spacetime geometry and nonlinear Burgers-type dynamics
The vacuum Einstein equations of the Alcubierre metric with a time- and x-dependent shift vector are algebraically rearranged into a Burgers and a heat equation using an arbitrary diffusivity parameter and source split.
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The Warp Drive: Superluminal Travel within General Relativity
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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