Radiation from collapsing relativistic stars. III. Second order perturbations of collapse with rotation
We study the gravitational waves generated during the collapse of a slowly rotating, pressureless, constant density star. To first order in the rotation rate the perturbation is an odd-parity dipole and generates no gravitational waves. The first order perturbation, however, drives a quadrupole deformation which is second order in the rotation rate and which produces the radiation. Using a gauge invariant description, we derive the equations governing this second order perturbation. These equations are then applied to the case of the collapse of a slowly and uniformly rotating constant-density star following the sudden turnoff of pressure. Numerical results are given for the gravitational waveforms and energies generated.
- Research Organization:
- Department of Physics, University of Utah
- OSTI ID:
- 5286541
- Journal Information:
- Astrophys. J.; (United States), Vol. 236:2
- Country of Publication:
- United States
- Language:
- English
Similar Records
Second-order perturbations of cosmological fluids: Relativistic effects of pressure, multicomponent, curvature, and rotation
Radiative gravitational perturbation problems in general relativity: I. Gravitational radiation from slowly rotating collapse: an Exact Green Function. II. Post-Post Newtonian gravitational radiation from two-body systems
Related Subjects
GENERAL PHYSICS
STARS
DISTURBANCES
GRAVITATIONAL COLLAPSE
ANGULAR MOMENTUM
EINSTEIN FIELD EQUATIONS
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
GRAVITATION
METRICS
ROTATION
WAVE EQUATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
MOTION
640102* - Astrophysics & Cosmology- Stars & Quasi-Stellar
Radio & X-Ray Sources