by Liu Yuk Tung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1997. / Includes bibliographical references (leaves 144-150) and index. / by Liu Yuk Tung. / Contents --- p.i / List of Figures --- p.v / List of Tables --- p.vii / Abstract --- p.viii / Acknowledgements --- p.ix / Chapter Chapter 1. --- Introduction --- p.1 / Chapter 1.1 --- Gravitational Wave Astronomy --- p.1 / Chapter 1.2 --- Quasinormal Modes of Black Holes --- p.2 / Chapter 1.3 --- Objective and Outline of this Thesis --- p.4 / Chapter Chapter 2. --- Perturbations of Schwarzschild Black Holes --- p.7 / Chapter 2.1 --- Introduction --- p.7 / Chapter 2.2 --- Weak Fields in the Schwarzschild Background --- p.8 / Chapter 2.3 --- Gravitational Perturbation of Schwarzschild Black Holes --- p.10 / Chapter 2.4 --- Scattering of Waves in a Schwarzschild Background --- p.12 / Chapter 2.5 --- Quasinormal Modes --- p.14 / Chapter Chapter 3. --- Green's Function Analysis --- p.16 / Chapter 3.1 --- Introduction --- p.16 / Chapter 3.2 --- Formalism --- p.17 / Chapter 3.3 --- The Signal at Early Time --- p.19 / Chapter 3.4 --- Quasinormal Ringings --- p.20 / Chapter 3.4.1 --- QNM spectrum of Schwarzschild Black Holes --- p.21 / Chapter 3.4.2 --- QNM spectrum of Kerr Black Holes --- p.23 / Chapter 3.5 --- Late Time Behavior --- p.24 / Chapter 3.6 --- Completeness of Quasinormal Modes --- p.25 / Chapter Chapter 4. --- Analytic Solutions of Regge-Wheeler Equation --- p.28 / Chapter 4.1 --- Introduction --- p.28 / Chapter 4.2 --- "Analytic Solutions for f(w, r) and g(w, r)" --- p.29 / Chapter 4.3 --- "Numerical Calculation of Leaver's series for(w, r)" --- p.32 / Chapter Chapter 5. --- Born Series --- p.36 / Chapter 5.1 --- Introduction --- p.36 / Chapter 5.2 --- Potentials with Exponential Tails --- p.37 / Chapter 5.2.1 --- Born Series Solution --- p.37 / Chapter 5.2.2 --- Poles in complex w plane --- p.38 / Chapter 5.3 --- Born Series Solution of Regge-Wheeler Potential --- p.39 / Chapter Chapter 6. --- Complex Integration --- p.44 / Chapter 6.1 --- Introduction --- p.44 / Chapter 6.2 --- Stokes and Anti-Stokes line --- p.45 / Chapter 6.3 --- Integration in the Complex Plane --- p.47 / Chapter 6.4 --- Stokes Phenomenon --- p.49 / Chapter 6.5 --- Integration of Regge-Wheeler Equation --- p.52 / Chapter Chapter 7. --- Semi-Analytic Method --- p.59 / Chapter 7.1 --- Introduction --- p.59 / Chapter 7.2 --- Application to Schwarzschild Black Holes --- p.60 / Chapter 7.3 --- Prospect of Application to Relativistic Stars --- p.63 / Chapter Chapter 8. --- Logarithmic Perturbation Theory --- p.65 / Chapter 8.1 --- Introduction --- p.65 / Chapter 8.2 --- Review on the Logarithmic Perturbation Theory --- p.67 / Chapter 8.3 --- General Properties of the Frequency Shift --- p.69 / Chapter 8.3.1 --- Open Systems in General --- p.69 / Chapter 8.3.2 --- Schwarzschild black holes --- p.72 / Chapter Chapter 9. --- The Shell Model of Dirty Black Holes --- p.78 / Chapter 9.1 --- Introduction --- p.78 / Chapter 9.2 --- The Master Equation --- p.79 / Chapter 9.3 --- Evaluation of Perturbation Formulas --- p.81 / Chapter 9.3.1 --- First Order Perturbation --- p.81 / Chapter 9.3.2 --- Second Order Perturbation --- p.84 / Chapter 9.4 --- Exact Calculation of QNMs of the Shell Model --- p.87 / Chapter 9.5 --- Comparison of Perturbation Calculation with Exact Result --- p.89 / Chapter 9.5.1 --- Dependence on μ and convergence --- p.89 / Chapter 9.5.2 --- Dependence on shell position --- p.91 / Chapter Chapter 10. --- Perturbations of Kerr Black Holes --- p.96 / Chapter 10.1 --- Introduction --- p.96 / Chapter 10.2 --- Teukolsky Equations --- p.96 / Chapter 10.3 --- The Radial Teukolsky Equation --- p.98 / Chapter 10.4 --- Superradiant Scattering --- p.100 / Chapter Chapter 11. --- Quasinormal Modes of Kerr Black Holes --- p.102 / Chapter 11.1 --- Introduction --- p.102 / Chapter 11.2 --- Angular Teukolsky Equation --- p.103 / Chapter 11.3 --- Born series solution --- p.104 / Chapter 11.4 --- Complex Integration of Teukolsky Equation --- p.106 / Chapter 11.5 --- The Semi-Analytic Method --- p.107 / Chapter Chapter 12. --- Conclusion --- p.114 / Chapter 12.1 --- Summary of Our Work --- p.114 / Chapter 12.2 --- Outlook --- p.116 / Appendix A. The Expansion Coefficients Vk for Black-Hole Potentials --- p.118 / Chapter A.1 --- Expansion of Regge-Wheeler Potential --- p.118 / Chapter A.2 --- Expansion of Teukolsky Potential --- p.120 / "Appendix B. Asymptotic Expression for g(w,r)" --- p.125 / Chapter B.l --- Regge-Wheeler Equation --- p.125 / Chapter B.2 --- Radial Teukolsky Equation --- p.126 / Appendix C. Numerical Derivatives and Root Searching Algorithm --- p.127 / Chapter C.1 --- Numerical Derivatives --- p.127 / Chapter C.2 --- Root Searching Algorithm --- p.130 / Appendix D. Derivation of the Equations for the Shell Model --- p.132 / Chapter D.1 --- The Metric of the Shell Model --- p.132 / Chapter D.2 --- The Master Equation for Scalar Waves --- p.134 / Chapter D.3 --- The Dominant Energy Condition for the Shell Model --- p.136 / Appendix E. Leaver's Analytic Solution of Teukolsky Equation --- p.139 / Chapter E.l --- Angular Equation --- p.139 / Chapter E.2 --- Radial Equation --- p.140 / Appendix F. Teukolsky-Starobinsky Identities --- p.142 / Bibliography --- p.144 / Index --- p.151

Thesis (Ph. D.)--California Institute of Technology, 1971. UM #72-00,482. / Advisor names found in the Acknowledgments pages of the thesis. Title from home page. Viewed 02/11/2010. Includes bibliographical references.

Academisch proefschrift--Universiteit van Amsterdam, 2008. / Description based on print version record. Includes bibliographical references (p. [131]-144).

No description available.

No description available.

Thesis (Ph. D.)--Ohio State University, 2004. / Title from first page of PDF file. Document formatted into pages; contains xii, 287 p.; also includes graphics. Includes bibliographical references (p. 279-287).

Two major aspects of particle creation by gravitational fields of black holes are studied; the neutrino emission from rotating black holes; and interactions between scalar particles emitted by a black hole. The neutrino emission is investigated under three topics. The asymmetry of the angular dependence of neutrino emission from rotating black holes is calculated first. A low frequency analytic approximation demonstrates the preferential emission of neutrinos (antineutrinos) antiparallel (parallel) to the direction of the black hole's angular momentum vector. Numerical calculations are performed which reveal the dependence of the neutrino emission on polar angle, neutrino energy, and black hole angular momentum and mass. Next we consider the production of a local matter excess by rotating black holes in a baryon symmetric universe. Black holes form at early cosmological times with their rotation axes aligned over the same scale size as the angular momentum in the universe. The evaporation of these black holes produces large scale neutrino currents, whose effectiveness in separating baryons from antibaryons during the hadron era of the early universe is estimated. The local baryon to photon ratio over a galactic size scale depends on the subsequent evolution of the resulting matter and antimatter regions, but is found to have an upper limit of 10 ⁻¹⁴. This is much less than the present observed value of about 10⁻⁹. We then study cosaological magnetic field generation by neutrinos from evaporating black holes. During the radiation era the neutrinos scatter off protons and alectrons, producing a net charge current. This current generates magnetic fields. If present in large enough numbers, rotating black holes could account for the present observed magnetic field in our galaxy. Finally we study the effects of interactions on the black hole evaporation process. Perturbation theory is used, to second order, to calculate the effects of a 2Ф⁴ self-interaction for a scalar field Ф in the 2 dimensional black hole spacetime. a mass renormalization was found to be insufficient to remove all divergences that occur in the calculations. However, the interaction appears to destroy the thermal character of the emission from a black hole evaporating in a vacuum. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

A dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in fulfilment of requirements for the degree of Master of Science. June 8, 2015. / We investigate the rewall paradox proposed by AMPS [1] by rst explaining the Information Paradox together with Hawking's derivation of the thermal radiation emitted from a evaporating black hole [28]. We then ask if one can apply arguments similar to that of Hawking and AMPS in the regime of uid mechanics, which was rst considered by Unruh [59]. We assume that a black hole, with a geometry conformal to the Schwarzschild metric, can be formed in a uid. The sonic hole or \dumb" hole, which is characterized by an acoustic event horizon, is the locus of points at which the background uid is traveling at the local speed of sound. Since sound disturbances are coupled to the background uid and travel at the speed of sound, the acoustic event horizon a ects sound disturbances in a manner analogous to how gravitational black holes a ect light [62]. Like a gravitational black hole, which evaporates by emitting Hawking radiation, we check if an acoustic black hole will emit in a similar kind of radiation in the form of phonons. This is done by constructing a massless scalar eld describing phonon propagation and treating the acoustic black hole just like a gravitational black hole. We apply the arguments put forth by Hawking and AMPS and see if there is any validity to an \acoustic rewall" as this would require certain physical phenomena emerging from sub-atomic scales.

Thesis (Ph. D.)--Ohio State University, 2007. / Title from first page of PDF file. Includes bibliographical references (p. 139-146).

Thesis (Ph. D.)--University of Texas at Austin, 2002. / Vita. Includes bibliographical references. Available also from UMI Company.