Post-Newtonian frequencies for the pulsations of rapidly rotating neutron stars

Abstract

view Abstract Citations (42) References (21) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Post-Newtonian Frequencies for the Pulsations of Rapidly Rotating Neutron Stars Cutler, Curt ; Lindblom, Lee Abstract The present study reviews and extends the formalism for computing the oscillation frequencies of rapidly rotating stars in the post-Newtonian approximation. The appropriate boundary conditions to be imposed on the post-Newtonian mode solutions and their role in determining the post-Newtonian correction to the mode eigenfrequency are discussed. Numerical results for the post-Newtonian oscillation frequencies are presented. The accuracy of this method is estimated by comparing the post-Newtonian frequencies for nonrotating stars with the full, general-relativistic mode frequencies. The post-Newtonian results are found to agree with the exact ones to within a few percent for typical neutron stars. The frequency corrections for the l = m f-modes of rotating stars are computed, and, in the post-Newtonian approximation, the critical angular velocities where these frequencies vanish are determined. Publication: The Astrophysical Journal Pub Date: February 1992 DOI: 10.1086/170968 Bibcode: 1992ApJ...385..630C Keywords: Neutron Stars; Stellar Gravitation; Stellar Oscillations; Stellar Rotation; Angular Velocity; Gravitational Waves; Stellar Radiation; Astrophysics; RADIATION MECHANISMS: GRAVITATIONAL; STARS: NEUTRON; STARS: OSCILLATIONS; STARS: ROTATION full text sources ADS |