Radiation from collapsing relativistic stars. III - Second order perturbations of collapse with rotation

Abstract

view Abstract Citations (61) References (12) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Radiation from collapsing relativistic stars. III - Second order perturbations of collapse with rotation Cunningham, C. T. ; Price, R. H. ; Moncrief, V. Abstract 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. Publication: The Astrophysical Journal Pub Date: March 1980 DOI: 10.1086/157787 Bibcode: 1980ApJ...236..674C Keywords: Gravitational Collapse; Gravitational Waves; Relativistic Effects; Stellar Radiation; Stellar Rotation; Astrophysics; Differential Equations; Perturbation Theory; Quadrupoles; Astrophysics full text sources ADS |