7. Concluding remarks
The gravitational radiation, being a quadrupole one and derivable from a scalar potential excites only the second order harmonic modes of the star and that only through the irrotational component, . Therefore, the -modes with small irrotational components present much smaller absorption cross sections to the gravitational radiation than the modes. In the sequence the cross section decreases as the mode order goes up. It is largest for , commonly known as the fundamental mode in Cowling's (1941) terminology. See Table 1 for these behaviors. The analysis following Eq. (9) was carried out for a (+) polarized radiation. The result for a () polarization and, consequently, for unpolarized radiation will, however, be the same.
© European Southern Observatory (ESO) 1997
Online publication: June 30, 1998