The general-relativistic and covariant form of the first Helmholtz vorticity theorem

Citation
W. Schroder et Hj. Treder, The general-relativistic and covariant form of the first Helmholtz vorticity theorem, FOUND PHYS, 30(11), 2000, pp. 1975-1982
Citations number
7
Categorie Soggetti
Physics
Journal title
FOUNDATIONS OF PHYSICS
ISSN journal
00159018 → ACNP
Volume
30
Issue
11
Year of publication
2000
Pages
1975 - 1982
Database
ISI
SICI code
0015-9018(200011)30:11<1975:TGACFO>2.0.ZU;2-1
Abstract
The general relativistic and covariant differential form of Helmholtz's fir st vorticity theorem is presented. We prove in relation with it an invarian t kinematic identity which is the generalisation of the Helmholtz theorem f or general continua.