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Perturbative Analysis of Universality and Individuality in Gravitational Waves from Neutron Stars

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© 2005. The American Astronomical Society. All rights reserved. Printed in U.S.A.
, , Citation L. K. Tsui and P. T. Leung 2005 ApJ 631 495 DOI 10.1086/432525

0004-637X/631/1/495

Abstract

The universality observed in gravitational wave spectra of nonrotating neutron stars is analyzed here. We show that the universality in the axial oscillation mode can be reproduced with a simple stellar model, namely, the centrifugal barrier approximation (CBA), which captures the essence of the Tolman VII model of compact stars. Through the establishment of the scaled coordinate logarithmic perturbation theory (SCLPT), we are able to explain and quantitatively predict such universal behavior. In addition, quasi-normal modes of individual neutron stars characterized by different equations of state can be obtained from those of the CBA with the SCLPT.

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10.1086/432525