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
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322285 |
| Date | January 1998 |
| Contributors | Yip, Ching Wa., Chinese University of Hong Kong Graduate School. Division of Physics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, xiii, 147 leaves : ill. ; 30 cm. |
| Rights | Use 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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