A Numerical Study of Normal Modes of Rotating Neutron Star Models by the Cowling Approximation

Type: Article

Publication Date: 1999-04-10

Citations: 48

DOI: https://doi.org/10.1086/307012

Abstract

A numerical method of mode analysis of rapidly rotating relativistic stellar models by the Cowling approximation is applied to rotating neutron stars with realistic equations of state. For selected equations of state, eigenvalues and eigenfunctions of f-modes are numerically solved for stellar models from nonrotating to maximally rotating states.

Locations

  • The Astrophysical Journal - View - PDF
  • arXiv (Cornell University) - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ PDF Chat Quasi-radial modes of rotating stars in general relativity 2001 S. Yoshida
Yoshiharu Eriguchi
+ PDF Chat Inertial modes of rigidly rotating neutron stars in Cowling approximation 2008 W. Kastaun
+ PDF Chat General relativistic treatment of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>f</mml:mi></mml:math> -mode oscillations of hyperonic stars 2022 Bikram Keshari Pradhan
Debarati Chatterjee
Michael Lanoye
Prashanth Jaikumar
+ PDF Chat Nonanalytic behavior of the relativistic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>r</mml:mi></mml:math> -modes in slowly rotating neutron stars 2022 Kirill Y. Kraav
M. E. Gusakov
E. M. Kantor
+ PDF Chat Gravitational wave asteroseismology with fast rotating neutron stars 2011 Erich Gaertig
Kostas D. Kokkotas
+ PDF Chat Impact of the equation of state on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:math> - and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math> - mode oscillations of neutron stars 2022 Athul Kunjipurayil
Tianqi Zhao
Bharat Kumar
Bijay K. Agrawal
Madappa Prakash
+ PDF Chat Inertial modes of slowly rotating relativistic stars in the Cowling approximation 2003 J. Ruoff
A. Stavridis
Kostas D. Kokkotas
+ PDF Chat AXISYMMETRIC TOROIDAL MODES OF GENERAL RELATIVISTIC MAGNETIZED NEUTRON STAR MODELS 2014 Hidetaka Asai
Umin Lee
+ PDF Chat Relativistic<i>r</i>‐Modes in Slowly Rotating Neutron Stars: Numerical Analysis in the Cowling Approximation 2002 Shijun Yoshida
Umin Lee
+ PDF Chat Gravitational wave asteroseismology of fast rotating neutron stars with realistic equations of state 2013 Daniela D. Doneva
Erich Gaertig
Kostas D. Kokkotas
C. Krüger
+ PDF Chat Non-analytic behavior of the relativistic r-modes in slowly rotating neutron stars 2021 Kirill Y. Kraav
M. E. Gusakov
E. M. Kantor
+ PDF Chat Accuracy of the relativistic Cowling approximation in protoneutron star asteroseismology 2020 Hajime Sotani
Tomoya Takiwaki
+ PDF Chat Axisymmetric modes of rotating relativistic stars in the Cowling approximation 2001 J. A. Font
Harald Dimmelmeier
A. Gupta
Nikolaos Stergioulas
+ Non-analytic behavior of the relativistic r-modes in slowly rotating neutron stars 2021 Kirill Y. Kraav
M. E. Gusakov
E. M. Kantor
+ PDF Chat Eigenmode frequency distribution of rapidly rotating neutron stars 2007 Stratos Boutloukos
Hans-Peter Nollert
+ PDF Chat Accuracy of the relativistic Cowling approximation in slowly rotating stars 1997 Shijun Yoshida
Yasufumi Kojima
+ Impact of the equation of state on $f$- and $p$- mode oscillations of neutron stars 2022 Athul Kunjipurayil
Tianqi Zhao
Bharat Kumar
Bijay K. Agrawal
Madappa Prakash
+ PDF Chat Importance of perturbed gravitational potentials in differentially rotating Newtonian stars 2003 Shigeyuki Karino
+ PDF Chat Oscillations and instabilities of fast and differentially rotating relativistic stars 2010 C. Krüger
Erich Gaertig
Kostas D. Kokkotas
+ PDF Chat <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi></mml:math>-Mode Instability in Relativistic Neutron Stars 2011 Erich Gaertig
K. Glampedakis
Kostas D. Kokkotas
Burkhard Zink

Works Cited by This (10)

Action Title Year Authors
+ PDF Chat The last three minutes: Issues in gravitational-wave measurements of coalescing compact binaries 1993 Curt Cutler
Theocharis A. Apostolatos
Lars Bildsten
L. S. Finn
Éanna É. Flanagan
Daniel Kennefick
Dragoljub Marković
Amos Ori
Eric Poisson
Gerald Jay Sussman
+ PDF Chat Neutral Points of Oscillation Modes along Equilibrium Sequences of Rapidly Rotating Polytropes in General Relativity: Application of the Cowling Approximation 1997 S. Yoshida
Yoshiharu Eriguchi
+ PDF Chat A New Class of Unstable Modes of Rotating Relativistic Stars 1998 Nils Andersson
+ PDF Chat Resonant oscillations and tidal heating in coalescing binary neutron stars 1994 Dong Lai
+ PDF Chat Relativistic Cosmology. I 1955 Amalkumar Raychaudhuri
+ PDF Chat Gravitational Radiation Instability in Hot Young Neutron Stars 1998 Lee Lindblom
B. J. Owen
Sharon M. Morsink
+ PDF Chat Construction of highly accurate models of rotating neutron stars – comparison of three different numerical schemes 1998 T. Nozawa
Nikolaos Stergioulas
Éric Gourgoulhon
Yoshiharu Eriguchi
+ PDF Chat Nonaxisymmetric Neutral Modes in Rotating Relativistic Stars 1998 Nikolaos Stergioulas
John L. Friedman
+ PDF Chat Quasi‐normal Modes of Rotating Relativistic Stars: Neutral Modes for Realistic Equations of State 1999 Sharon M. Morsink
Nikolaos Stergioulas
Steve R. Blattnig
+ PDF Chat Gravitational Radiation Limit on the Spin of Young Neutron Stars 1999 Nils Andersson
Kostas D. Kokkotas
B. F. Schutz