Abstract
The idea of hyper-fast travel in the framework of General Relativity has firstly been introduced by Miguel Alcubierre. It was interesting, as it shows the possibility to locally modified spacetime surrounding an intended vehicle to move at huge speed which is rather different than the method of spacetime topological breaking as in a wormhole theory. Instead of puncturing through a hole in spacetime as in a wormhole, this method of spacetime geometrical modification, manipulates the geometrodynamics contraction and expansion of spacetime curvature so that the intended object’s hypersurface surfs on the surrounding spacetime hyperspace. In this paper we will explore in more detail mathematically, how the concept has been derived in the framework of General Relativity. Starting from developing the metric to the expression of energy density that governs the spacetime “surfing” geometrodynamics in relation with the necessary parameters describing the spacetime warp bubble.
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