Vibration modes of single neutron stars are important sources of continuous gravi-
tational waves for detectors like the Laser Interferometer Gravitational-Wave Observa-
tory (LIGO). In order for LIGO to identify the weak signal buried in the noise, they rely
on a theoretical template of the signal amplitude and frequency. In this thesis, we utilize
a technique rst described by Chandrasekhar to calculate the frequency of the quasi-
normal mode oscillations of a single neutron star. We calculate the normalized (complex)
frequency for the l=2 (quadrupole) oscillation of the entire family of general relativistic
polytropes with polytropic index 1.5 and a central density to central pressure ratio of 9.
We nd the real part of this normalized frequency to be =0.3383, compared to Chan-
drasekhar's result in his paper from 1991 of =0.3248. We nd the imaginary part of this
normalized frequency to be
=1.448010[Special character(s) omitted]4, compared to Chandrasekhar's result in his
paper from 1991 of
=1.02610[Special character(s) omitted]4. The slight dierence is likely due to higher computa-
tional accuracy of modern day computers.
|Commitee:||Papp, Zoltan, Ojeda-Aristizabal, Claudia|
|School:||California State University, Long Beach|
|Department:||Physics and Astronomy|
|School Location:||United States -- California|
|Source:||MAI 81/4(E), Masters Abstracts International|
|Subjects:||Physics, Astrophysics, Condensed matter physics|
|Keywords:||chandrasekhar, frequencies, gravitational, neutron stars, wave|
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