ON GENERAL-RELATIVISTIC VORTEX-DYNAMICS

Authors
SCHRODER W TREDER HJ
Citation
W. Schroder et Hj. Treder, ON GENERAL-RELATIVISTIC VORTEX-DYNAMICS, Foundations of physics, 26(3), 1996, pp. 417-422
Citations number
6
Categorie Soggetti
Physics
Journal title
Foundations of physics → ACNP
ISSN journal
00159018
Volume
26
Issue
3
Year of publication
1996
Pages
417 - 422
Database
ISI
SICI code
0015-9018(1996)26:3<417:OGV>2.0.ZU;2-Q
Abstract
The general theory of relativity gives an absolutely covariant formula tion of Helmholtz's laws of vorticity which is valid in arbitrary refe rence systems. For small relative velocities u(i) (with u(i)u(i) much less than epsilon(2)) these generally covariant laws deliver Helmholtz 's first law for a vorticity omega(i) in a rigidly rotating references system d/dt(omega(i)-Omega(i)) = (omega(l) - Omega(1))u(l,i) with the angular velocity Omega of the rotation.