Neutron stars: Analytical continuation of the ingoing gravitational wave amplitudes and asymptotic eigenfrequencies distribution for even modes
With reference to a hot perfect fluid neutron star with an equation of state whose behavior is polytropic near the surface and in the framework of an arbitrary multipole of even order l> or =2, the ''ingoing'' gravitational wave amplitude of frequency ..omega.. is analytically continued to the region Im..omega..<0. This is performed by suitable rotations of the integration paths in the multiple integrals expressing the successive iterations for such amplitude. The analytical continuation allows us to successively obtain the asymptotic eigenfrequency distribution for ..omega -->..infinity. This differs in some cases from that obtained in a previous paper on the basis of a conjecture regarding the analytical continuation of the ingoing amplitude, although it maintains the same qualitative features.
- Research Organization:
- Istituto di Fisica dell'Universita, 35100 Padova, I
- OSTI ID:
- 6920747
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Vol. 19:12
- Country of Publication:
- United States
- Language:
- English
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