Radiation Transport Around Kerr Black Holes Jeremy David ...

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202 BIBLIOGRAPHY Barr, P., White, N. E., & Page, C. G. 1985, MNRAS, 312, 65 Bekenstein, J. D. 1973, Phys. Rev. D, 7, 2333 Bekenstein, J. D. 1975, Phys. Rev. D, 12, 3077 Belloni, T., et al. 2002, ApJ, 572, 392 Beloborodov, A. M. 1999, ApJ, 510, L123 Bergstrom, L., Bringmann, T., Eriksson, M., & Gustafsson, M. 2004, submitted to PRL, preprint (astro-ph/0410359) Bertschinger, E. 1999, “Hamiltonian Dynamics of Particle Motion,” Class notes from MIT physics course 8.962 Bertschinger, E. 2001, “Geodesics in <strong>Kerr</strong> Spacetime,” Class notes from MIT physics course 8.962 Blandford, R. D., & Znajek, R. L. 1977, MNRAS, 179, 433 Blandford, R. D., & Begelman, M. C. 1999, MNRAS, 303, L1 Bolton, C. T. 1972, Nature, 240, 124 Bondi, H., & Hoyle, F. 1944, MNRAS, 104, 273 Bowers, R. L., & Wilson, J. R. 1991, Numerical Modeling in Applied Physics and Astrophysics (Boston: Jones and Bartlett) Bowyer, S., et al. 1965, Science, 147, 394 Boyer, R. H., & Lindquist, R. W. 1967, J. Math. Physics, 8, 265 Bromley, B. C., Chen, K., & Miller, W. A. 1997, ApJ, 475, 57 Carter, B. 1966, Phys. Rev., 141, 1242 Carter, B. 1968a, Phys. Rev. Lett. 26, 331 Carter, B. 1968b, Phys. Rev., 174, 1559 Collins, N. A., & Hughes, S. A. 2004, Phys. Rev. D, 69, 124022 Damour, T., & Esposito-Farese, G. 1993, Phys. Rev. Letters, 70, 2220
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Page 1:
Radiation Transport Around Kerr Bla
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5 Acknowledgments Gravity can not b
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Contents 1 Introduction and Outline
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CONTENTS 9 A Formulae for Hamiltoni
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List of Figures 1-1 Sample of obser
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List of Tables 3.1 Black hole param
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Chapter 1 Introduction and Outline
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1.2. HISTORICAL BACKGROUND 17 to th
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1.2. HISTORICAL BACKGROUND 19 disk
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1.2. HISTORICAL BACKGROUND 21 tral
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¼ÐÀÓÐÒÖ× 1.3. OUTLINE OF ME
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1.3. OUTLINE OF METHODS AND RESULTS
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1.4. ALTERNATIVE QPO MODELS 31 isot
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1.4. ALTERNATIVE QPO MODELS 33 jets
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Chapter 2 Ray-Tracing in the Kerr M
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2.1. EQUATIONS OF MOTION 37 Killing
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2.1. EQUATIONS OF MOTION 39 flat sp
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2.1. EQUATIONS OF MOTION 41 conveni
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2.1. EQUATIONS OF MOTION 43 in sepa
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2.2. GEODESIC RAY-TRACING 45 basis
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2.2. GEODESIC RAY-TRACING 47 throug
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2.2. GEODESIC RAY-TRACING 49 with a
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2.2. GEODESIC RAY-TRACING 51 since
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2.2. GEODESIC RAY-TRACING 53 dx µ
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2.2. GEODESIC RAY-TRACING 55 In the
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2.3. NUMERICAL METHODS 57 a long pa
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2.4. BROADENED EMISSION LINES FROM
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Chapter 3 The Geodesic Hot Spot Mod
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3.1. HOT SPOT EMISSION 71 Figure 3-
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3.2. NON-CIRCULAR ORBITS 77 Figure
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3.2. NON-CIRCULAR ORBITS 79 Figure
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3.2. NON-CIRCULAR ORBITS 81 paramet
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3.2. NON-CIRCULAR ORBITS 83 at (2/3
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3.2. NON-CIRCULAR ORBITS 85 form at
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3.3. NON-PLANAR ORBITS 87 3.3 Non-p
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3.3. NON-PLANAR ORBITS 89 Table 3.1
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3.4. SUMMARY 91 binaries in many wa
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Chapter 4 Features of the QPO Spect
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4.2. PARAMETERS FOR THE BASIC HOT S
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4.3. PEAK BROADENING FROM HOT SPOTS
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4.3. PEAK BROADENING FROM HOT SPOTS
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4.4. DISTRIBUTION OF COORDINATE FRE
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4.5. ELECTRON SCATTERING IN THE COR
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4.6. FITTING QPO DATA FROM XTE J155
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4.6. FITTING QPO DATA FROM XTE J155
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4.7. HIGHER ORDER STATISTICS 117 ob
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4.7. HIGHER ORDER STATISTICS 119 bi
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4.7. HIGHER ORDER STATISTICS 121 Fi
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4.7. HIGHER ORDER STATISTICS 123 12
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4.8. SUMMARY 125 els. Clearly the h
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Chapter 5 Steady-state α-disks The
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5.1. STEADY-STATE DISKS OUTSIDE THE
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5.2. GEODESIC PLUNGE INSIDE THE ISC
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5.2. GEODESIC PLUNGE INSIDE THE ISC
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5.3. NUMERICAL IMPLEMENTATION 143 F
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5.3. NUMERICAL IMPLEMENTATION 145 a
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5.3. NUMERICAL IMPLEMENTATION 147 (
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5.4. OBSERVED SPECTRUM OF THE DISK
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Page 157 and 158: Chapter 6 Electron Scattering If we
Page 159 and 160: 6.1. PHYSICS OF SCATTERING 159 Θ
Page 161 and 162: 6.1. PHYSICS OF SCATTERING 161 the
Page 163 and 164: 6.1. PHYSICS OF SCATTERING 163 and
Page 165 and 166: 6.1. PHYSICS OF SCATTERING 165 colo
Page 167 and 168: 6.2. EFFECT ON SPECTRA 167 Let g(z)
Page 169 and 170: 6.2. EFFECT ON SPECTRA 169 (1979);
Page 171 and 172: 6.2. EFFECT ON SPECTRA 171 Figure 6
Page 173 and 174: 6.3. EFFECT ON LIGHT CURVES 173 Fig
Page 179 and 180: 6.4. IMPLICATIONS FOR QPO MODELS 17
Page 181 and 182: Chapter 7 Conclusions and Future Wo
Page 183 and 184: 7.1. SUMMARY OF RESULTS 183 the low
Page 185 and 186: 7.2. CAVEATS 185 back to the coordi
Page 187 and 188: 7.3. NEW APPLICATIONS OF CURRENT CO
Page 189 and 190: 7.4. NEW FEATURES FOR CODE 189 grou
Page 191 and 192: 7.5. DEVELOPMENT OF NEW MODELS 191
Page 193 and 194: Appendix A Formulae for Hamiltonian
Page 195 and 196: 195 The relevant spatial derivative
Page 197 and 198: Appendix B Summing Periodic Functio
Page 199 and 200: 199 Over a sample time T f ≫ T l
Page 201: Bibliography Abramowicz, M. A., Lan
Page 205 and 206: BIBLIOGRAPHY 205 Hawler, J. F., & G
Page 207 and 208: BIBLIOGRAPHY 207 McClintock, J. E.,
Page 209 and 210: BIBLIOGRAPHY 209 Psaltis, D. 2001b,
Page 211 and 212: BIBLIOGRAPHY 211 Stern, B., et al.
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