Magnetohydrodynamic flows in Schwarzschild geometry

Details Magnetohydrodynamic flows in Schwarzschild geometry Magnetohydrodynamic flows in Schwarzschild geometry

Oct 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986apj...309..455m&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 309, Oct. 15, 1986, p. 455-466.

Astronomy and Astrophysics

Astronomy

33

Black Holes (Astronomy), Magnetohydrodynamic Flow, Relativity, Schwarzschild Metric, Hydrodynamic Equations, Operators (Mathematics), Particle Motion, Variational Principles, Virial Theorem

Scientific paper

A general theory is developed for the steady axisymmetric flow of an ideal general-relativistic magnetohydrodynamic fluid around a Schwarzschild black hole. The theory leads to a second-order partial differential equation - a Grad-Shafranov equation - for the magnetic flux function Psi(r, Theta). A variational principle is given which leads to the equation for Psi, and which facilitates the discussion of various limits of the Grad-Shafranov equation of interest in different astrophysical situations. A virial equation is derived from the basic equations, which is used to obtain an upper bound on the total energy in the electromagnetic field in terms of the total gravitational binding energy between the black hole and the matter outside it.

Affiliated with

Also associated with

No associations

Rating

Magnetohydrodynamic flows in Schwarzschild geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Magnetohydrodynamic flows in Schwarzschild geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Magnetohydrodynamic flows in Schwarzschild geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1735810