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Dissertation/Thesis Abstract

Computing Gravitational Wave Frequencies of Neutron Stars
by Lanoye, Michael, M.S., California State University, Long Beach, 2019, 52; 13899315
Abstract (Summary)

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.

Indexing (document details)
Advisor: Jaikumar, Prashanth
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
Publication Number: 13899315
ISBN: 9781687913180
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