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Based on the gravitoelectromagnetic formalism and inspired by the rich analogies between electrodynamics and general relativity, we try one step further along this line and suggest a new counterpart in the gravitoelectromagnetic world analogue to the electromagnetic physics. A counterpart model of the MagnetoHydroDynamics that could help us to understand the possible new physics in tightly bounded spacetime-matter systems such as the case of extremely relativistic fluids in the early Universe. This new viewpoint also suggests a possible new form of spacetime-matter turbulence which may be tested through gravitational wave observations.
Liang et al. (Mon,) studied this question.