Foundations of Physics

, Volume 26, Issue 3, pp 417–422 | Cite as

On general relativistic vortex-dynamics

  • Wilfried Schröder
  • Hans -Jürgen Treder


The general theory of relativity gives an absolutely covariant formulation of Helmholtz's laws of vorticity which is valid in arbitrary reference systems. For small relative velocities ui, (with ui,u′≪ε2) these generally covariant laws deliver Helmholtz's first law for a vorticity ωi in a rigidly rotating references system\(\frac{d}{{dt}}(\omega _i - \Omega _\iota ) = (\omega ^l - \Omega ^l )u_{l,i} \) with the angular velocity Ω of the rotation.


Vorticity Angular Velocity General Theory Relative Velocity Reference System 
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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • Wilfried Schröder
    • 1
  • Hans -Jürgen Treder
    • 2
  1. 1.Bremen-RönnebeckGermany
  2. 2.PotsdamGermany

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