Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...236..674c&link_type=abstract
Astrophysical Journal, Part 1, vol. 236, Mar. 1, 1980, p. 674-692.
Astronomy and Astrophysics
Astrophysics
46
Gravitational Collapse, Gravitational Waves, Relativistic Effects, Stellar Radiation, Stellar Rotation, Astrophysics, Differential Equations, Perturbation Theory, Quadrupoles
Scientific paper
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.
Cunningham Charles T.
Moncrief Vincent
Price Richard H.
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