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arXiv · 1910.01351

On the uniqueness of a shear-vorticity-acceleration-free velocity field in space-times

Luca Guido Molinari·Adriano Tacchini·Carlo Alberto Mantica
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Abstract

We prove that in space-times a velocity field that is shear, vorticity and acceleration-free, if any, is unique up to reflection, with these exceptions: generalized Robertson-Walker space-times whose space sub-manifold is warped, and twisted space-times (the scale function is space-time dependent) whose space sub-manifold is doubly twisted. In space-time dimension n = 4, the Ricci and the Weyl tensors are specified, and the Einstein equations yield a mixture of two perfect fluids.

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Luca Guido Molinari, Adriano Tacchini, Carlo Alberto Mantica. 2019-10-03. On the uniqueness of a shear-vorticity-acceleration-free velocity field in space-times. https://doi.org/10.1007/s10714-019-2607-1

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