General-relativistic rotation laws in rotating fluid bodies

@article{Mach2015GeneralrelativisticRL,
  title={General-relativistic rotation laws in rotating fluid bodies},
  author={Patryk Mach and Edward J Malec},
  journal={Physical Review D},
  year={2015},
  volume={91},
  pages={124053}
}
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… 

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References

SHOWING 1-10 OF 15 REFERENCES
Phys
  • Rev. 62, art. id. 021501
  • 2000
Mon
  • Not. R. Astron. Soc. 237, 355
  • 1989
to appear in Phys
  • Rev. D, arXiv:1410.8527
  • 2014
Class
Astrophys
  • J. 200, L103
  • 1969
ASP Conference Series 395
  • 87
  • 2008
Acta Phys
  • Pol. B44, 107
  • 2013
Mon
  • Not. R. Astron. Soc. 242, 289
  • 1990
Astrophys
  • J. 195, L65
  • 1975
Phys
  • Lett. 20, 504
  • 1966
...
...