Gravitational radiation from the homologous oscillation of compressible Newtonian spheroids.
Abstract
We construct a family of explicit solutions to the equations governing homogeneous oscillation of rotating Newtonian spheroids. The solutions we find exhibit purely homologous oscillationa motion consistent with the equation of state Pc = 1CiP413 + `c2P513, where Ki and K2 are positive constants. We compute the power spectrum and total gravitational wave energy emitted by each of these models in the quadrupole moment approximation. Subject headings: gravitation  stars: rotation
 Publication:

The Astrophysical Journal
 Pub Date:
 December 1979
 DOI:
 10.1086/157539
 Bibcode:
 1979ApJ...234..628M
 Keywords:

 Gravitational Waves;
 Power Spectra;
 Rotating Spheres;
 Stellar Models;
 Stellar Rotation;
 Compressible Flow;
 Equations Of Motion;
 Mathematical Models;
 Newtonian Fluids;
 Spheroids;
 Astrophysics;
 Gravitational Radiation:Rotating Bodies