Streamlines of a perfect fluid as geodesics in Riemannian space-time

L. Verozub1


Streamlines of a relativistic perfect isentropic fluid are geodesics of a Riemannian space whose metric is determined by the fluid enthalpy. This fact simplifies the solution of some problems, and is also of interest from the point of view of fundamental physics.


  1. J. Monaghan, Ann. Rev. Astron. Astrophys. 30, 5 (1992).
  2. J. Monaghan and D. Rice, Mon. Not. R. Astron. Soc. 328, 381 (2001).
  3. L. Landau and E. Lifschitz, Fluid Mechanics (Pergamon Press, Oxford, 1987).
  4. L. Verozub, Int.J.Mod. Phys. D 17, 337 (2008).
  5. S. Weiberg, Gravitation and Cosmology (John Wiley and Sons, New-York, 1972).
  6. S. Shapiro and S. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars (John Wiley and Sons, New-York, 1982).
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