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 12 REFERENCES

Phys

  • Rev. 62, art. id. 021501
  • 2000

to appear in Phys

  • Rev. D, arXiv:1410.8527
  • 2014

Astrophys

  • J. 200, L103
  • 1969

ASP Conference Series 395

  • 87
  • 2008

Acta Phys

  • Pol. B44, 107
  • 2013

Astrophys

  • J. 195, L65
  • 1975

Phys

  • Lett. 20, 504
  • 1966

Stellar Rotation (Cambridge

  • 2007

Astrophys

  • J. 162, 71
  • 1970

Astrophys

  • J. 727, art. id. 95
  • 2011