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arXiv · 1501.04539

General-relativistic rotation laws in rotating fluid bodies

Patryk Mach·Edward Malec
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Abstract

We formulate new general-relativistic extensions of Newtonian rotation laws for self-gravitating stationary fluids. They have been used to re-derive, in the first post-Newtonian approximation, the well known geometric dragging of frames. We derive two other general-relativistic weak-field effects within rotating tori: the recently discovered dynamic anti-dragging and a new effect that measures the deviation from the Keplerian motion and/or the contribution of the fluids selfgravity. One can use the rotation laws to study the uniqueness and the convergence of the post-Newtonian approximations, and the existence of the post-Newtonian limits.

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Patryk Mach, Edward Malec. 2015-01-19. General-relativistic rotation laws in rotating fluid bodies. https://doi.org/10.1103/physrevd.91.124053

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