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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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.