Perfect fluid and magnetic field conservation laws in the theory of black hole accretion rings.
Abstract
The paper gives a systematic introduction to the many conservation laws of relativistic perfect fluid and magnetic field theory that have been used in discussions of accretions onto black holes. The class of laws to be derived includes relativistic generalizations of Bernoulli's theorem, the vorticity conservation theorem, as well as many other less wellknown classical results such as Moffat's helicity conservation theorem whose relativistic generalization has not been published before. It is shown that these laws can all be derived with surprisingly little mathematical effort without any need to use the machinery of Riemannian geometry.
 Publication:

Active Galactic Nuclei
 Pub Date:
 1979
 Bibcode:
 1979agn..book..273C
 Keywords:

 Black Holes (Astronomy);
 Conservation Laws;
 Fluid Mechanics;
 Ideal Fluids;
 Magnetic Fields;
 Stellar Mass Accretion;
 Bernoulli Theorem;
 Canonical Forms;
 Conservation Equations;
 Field Theory (Physics);
 Helical Flow;
 Lie Groups;
 Lorentz Transformations;
 Vorticity Equations;
 Astrophysics;
 Accretion:Black Holes;
 Black Holes:Magnetic Fields