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arXiv · 1510.06236

General-relativistic rotation laws in rotating fluid bodies, new weak-field effects and the post-newtonian expansion

Patryk Mach·Edward Malec·Michal Pirog
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Abstract

Recent general-relativistic extensions of Newtonian rotation laws for self-gravitating stationary fluids allow one to rederive, in the first post-Newtonian approximation, the well known geometric dragging of frames, and two new weak-field effects within rotating tori. These are the recently discovered anti-dragging and a new effect that measures the deviation from the Keplerian motion and/or the contribution of the fluids selfgravity. They can be applied to the study of the existence of the (post-)Newtonian limits of solutions and in investigations of inequalities relating parameters of rotating black holes.

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Patryk Mach, Edward Malec, Michal Pirog. 2015-10-21. General-relativistic rotation laws in rotating fluid bodies, new weak-field effects and the post-newtonian expansion. https://arxiv.org/abs/1510.06236

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