General-relativistic rotation laws in rotating fluid bodies
Abstract
We formulate new general-relativistic extensions of Newtonian rotation laws for self-gravitating stationary fluids. They have been used to rederive, 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 antidragging and a new effect that measures the deviation from the Keplerian motion and/or the contribution of the fluids self-gravity. One can use the rotation laws to study the uniqueness and the convergence of the post-Newtonian approximations as well as the existence of the post-Newtonian limits.
- Publication:
-
Physical Review D
- Pub Date:
- June 2015
- DOI:
- arXiv:
- arXiv:1501.04539
- Bibcode:
- 2015PhRvD..91l4053M
- Keywords:
-
- 04.40.Dg;
- 04.25.Nx;
- 04.40.Nr;
- 98.62.Mw;
- Relativistic stars: structure stability and oscillations;
- Post-Newtonian approximation;
- perturbation theory;
- related approximations;
- Einstein-Maxwell spacetimes spacetimes with fluids radiation or classical fields;
- Infall accretion and accretion disks;
- General Relativity and Quantum Cosmology;
- Astrophysics - Solar and Stellar Astrophysics
- E-Print:
- 5 pages, to appear in the Physical Review D