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Oscillations of compact stars =: 致密星之震盪. / 致密星之震盪 / Oscillations of compact stars =: Zhi mi xing zhi zhen dang. / Zhi mi xing zhi zhen dang

by Yip Ching Wa. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 142-147). / Text in English; abstract also in Chinese. / by Yip Ching Wa. / Acknowledgement --- p.i / Contents --- p.ii / List of Figures --- p.vii / List of Tables --- p.xi / Abstract --- p.xiii / Chapter Chapter 1. --- Introduction to stellar oscillations --- p.1 / Chapter 1.1 --- Motivations of study --- p.1 / Chapter 1.2 --- Historical background of stellar oscillation --- p.2 / Chapter 1.3 --- Compact stars --- p.4 / Chapter 1.4 --- The observational aspects --- p.5 / Chapter 1.5 --- Outline of the thesis --- p.6 / Chapter Chapter 2. --- Static Stars --- p.8 / Chapter 2.1 --- Newtonian stars --- p.8 / Chapter 2.2 --- Relativistic stars --- p.10 / Chapter Chapter 3. --- Mode classifications --- p.14 / Chapter 3.1 --- Newtonian vs relativistic oscillations --- p.14 / Chapter 3.2 --- Radial oscillations --- p.15 / Chapter 3.3 --- Nonradial oscillations --- p.16 / Chapter 3.3.1 --- Spheroidal mode --- p.17 / Chapter 3.3.1.1 --- f-mode (yundamental mode) --- p.17 / Chapter 3.3.1.2 --- p-mode (pressure mode) --- p.18 / Chapter 3.3.1.3 --- g-mode (gravity mode) --- p.18 / Chapter 3.3.1.4 --- w-mode (gravitational-wave mode) --- p.19 / Chapter 3.3.2 --- Toroidal mode --- p.20 / Chapter 3.3.2.1 --- t-mode : (torsional mode) --- p.21 / Chapter 3.3.3 --- Characteristic frequencies of local vibrations --- p.22 / Chapter 3.3.4 --- Stability --- p.23 / Chapter 3.3.4.1 --- Dynamical stability --- p.24 / Chapter 3.3.4.2 --- Secular stability --- p.24 / Chapter 3.3.4.3 --- Pulsational stability --- p.24 / Chapter 3.4 --- Summary --- p.24 / Chapter Chapter 4. --- Adiabatic radial oscillations of stars --- p.26 / Chapter 4.0.1 --- Newtonian case --- p.26 / Chapter 4.0.2 --- Relativistic case --- p.29 / Chapter 4.1 --- Results --- p.30 / Chapter 4.2 --- The stability criteria --- p.31 / Chapter 4.3 --- Summary --- p.39 / Chapter Chapter 5. --- Quasinormal modes of stars --- p.40 / Chapter 5.1 --- Introduction --- p.40 / Chapter 5.2 --- The Scattering Method --- p.42 / Chapter 5.3 --- WKB approximation --- p.43 / Chapter 5.4 --- Chandrasekhar and Detweiler's series --- p.44 / Chapter 5.4.1 --- Application of the series --- p.45 / Chapter 5.5 --- Leaver's series --- p.46 / Chapter 5.5.1 --- Application of the series --- p.48 / Chapter 5.6 --- Summary --- p.52 / Chapter Chapter 6. --- Relativistic nonradial oscillations --- p.53 / Chapter 6.1 --- Axial perturbation --- p.55 / Chapter 6.1.1 --- Perturbation equations --- p.55 / Chapter 6.1.2 --- Boundary conditions --- p.58 / Chapter 6.2 --- Polar perturbations --- p.58 / Chapter 6.2.1 --- Perturbation equations for r≤R --- p.58 / Chapter 6.2.2 --- Boundary condition at r→ 0 --- p.60 / Chapter 6.2.3 --- Perturbation equation for r ≥R --- p.63 / Chapter 6.2.4 --- Boundary condition at r→ ∞ --- p.64 / Chapter 6.3 --- Numerical integration of the perturbation equations --- p.64 / Chapter 6.4 --- The stability problem --- p.66 / Chapter 6.5 --- Summary --- p.66 / Chapter Chapter 7. --- Oscillations of simple model stars --- p.67 / Chapter 7.1 --- Motivations of study --- p.67 / Chapter 7.2 --- Equation of states --- p.68 / Chapter 7.2.1 --- Homogeneous stars --- p.68 / Chapter 7.2.2 --- Relativistic polytropic stars --- p.69 / Chapter 7.3 --- Static stars --- p.69 / Chapter 7.4 --- Oscillation spectra --- p.71 / Chapter 7.4.1 --- Homogeneous star --- p.72 / Chapter 7.4.1.1 --- Axial QNM --- p.72 / Chapter 7.4.1.2 --- Polar QNM --- p.76 / Chapter 7.4.2 --- Polytropic star --- p.78 / Chapter 7.4.2.1 --- Axial QNM --- p.78 / Chapter 7.4.2.2 --- Polar QNM --- p.80 / Chapter 7.4.3 --- Effects of specific ingredients of EOS --- p.82 / Chapter 7.5 --- A comparison of methods for evaluating outgoing-wave solutions --- p.85 / Chapter 7.6 --- Summary --- p.88 / Chapter Chapter 8. --- Oscillations of realistic neutron stars --- p.89 / Chapter 8.1 --- Motivations of study --- p.89 / Chapter 8.2 --- Equations of states --- p.90 / Chapter 8.3 --- Static stars --- p.94 / Chapter 8.4 --- Axial QNM --- p.96 / Chapter 8.5 --- Polar QNM --- p.97 / Chapter 8.6 --- Effects of specific ingredients of EOS --- p.99 / Chapter 8.6.1 --- Effects of neutral pion condensate --- p.100 / Chapter 8.7 --- Summary --- p.101 / Chapter Chapter 9. --- Oscillations of quark stars --- p.105 / Chapter 9.1 --- Motivations of study --- p.105 / Chapter 9.2 --- The equations of states --- p.106 / Chapter 9.2.1 --- Light-quark stars (LQS) --- p.106 / Chapter 9.2.2 --- Hybrid neutron stars with quark cores (HLQS) --- p.107 / Chapter 9.2.3 --- Hybrid neutron stars with strange quark cores (HSSI and HSSII) --- p.107 / Chapter 9.3 --- Axial QNM --- p.111 / Chapter 9.4 --- Polar QNM --- p.114 / Chapter 9.5 --- Effects of specific ingredients of EOS --- p.117 / Chapter 9.6 --- Properties of wII modes --- p.118 / Chapter 9.7 --- Summary --- p.121 / Chapter Chapter 10. --- Conclusion --- p.123 / Chapter 10.1 --- Summary of results --- p.123 / Chapter 10.2 --- Outlook of the problem --- p.124 / Appendix A. Unit conventions --- p.126 / Appendix B. Proof of the regularity of the singular point Vrw(r = 0) --- p.127 / Appendix C. Derivation of transformation between Ψrwand Ψz --- p.129 / Appendix D. Newtonian Cowling Approximation --- p.132 / Chapter D.1 --- Cowling Approximation --- p.132 / Chapter D.2 --- Local Analysis --- p.134 / Chapter D.3 --- Existence of p and g-modes --- p.135 / Appendix E. Relativistic Cowling Approximation --- p.138 / Bibliography --- p.143

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322285
Date January 1998
ContributorsYip, Ching Wa., Chinese University of Hong Kong Graduate School. Division of Physics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, xiii, 147 leaves : ill. ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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