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 oscillation-a 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