Magnetic dipole radiation from an exploding or collapsing magnetized rotating spheroid.
Abstract
An exact expression for the magnetic dipole moment of a spheroidal object with a uniform internal magnetic field is derived. This is then used to calculate the dipole radiation from an exploding (or collapsing) homogeneous uniformly rotating spheroid. The total amount of energy radiated for various initial conditions is obtained numerically. The special case of sphere, however, can also be solved analytically. It is found that about 2.4 x 10 to the 40th erg is radiated by an object with a mass of 1.4 solar masses, an initial magnetic field of 100 million gauss, and an initial density of 1 billon g/cu cm, collapsing to a black hole.
 Publication:

The Astrophysical Journal
 Pub Date:
 February 1979
 DOI:
 10.1086/156809
 Bibcode:
 1979ApJ...227.1013H
 Keywords:

 Electromagnetic Radiation;
 Gravitational Collapse;
 Magnetic Dipoles;
 Rotating Spheres;
 Stellar Rotation;
 Black Holes (Astronomy);
 Equations Of Motion;
 Magnetic Fields;
 Pulsars;
 Stellar Mass;
 Astrophysics;
 Collapsed Stars;
 Magnetohydrodynamics:Rotating Spheres