Radiation Transport Around Kerr Black Holes Jeremy David ...

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136 CHAPTER 5. STEADY-STATE α-DISKS Figure 5-1: Comparison of hydrodynamic fluid variables for three versions of the steady-state α-disk model: Full numerical integration of the vertical structure equations (solid lines); The Novikov-Thorne approximation (dotted line); The revised analytic approximation derived in the text (dashed line). The black hole has mass M = 10M ⊙ , spin a/M = 0, and accretion rate Ṁ = 0.05 M ˙ Edd .
5.1. STEADY-STATE DISKS OUTSIDE THE ISCO 137 Figure 5-2: Comparison of hydrodynamic fluid variables for three versions of the steady-state α-disk model: Full numerical integration of the vertical structure equations (solid lines); The Novikov-Thorne approximation (dotted line); The revised analytic approximation derived in the text (dashed line). The black hole has mass M = 10M ⊙ , spin a/M = 0.9, and accretion rate Ṁ = 0.05 M ˙ Edd .
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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
Page 85 and 86: 3.2. NON-CIRCULAR ORBITS 85 form at
Page 87 and 88: 3.3. NON-PLANAR ORBITS 87 3.3 Non-p
Page 89 and 90: 3.3. NON-PLANAR ORBITS 89 Table 3.1
Page 91 and 92: 3.4. SUMMARY 91 binaries in many wa
Page 93 and 94: Chapter 4 Features of the QPO Spect
Page 95 and 96: 4.2. PARAMETERS FOR THE BASIC HOT S
Page 97 and 98: 4.3. PEAK BROADENING FROM HOT SPOTS
Page 99 and 100: 4.3. PEAK BROADENING FROM HOT SPOTS
Page 101 and 102: 4.4. DISTRIBUTION OF COORDINATE FRE
Page 107 and 108: 4.5. ELECTRON SCATTERING IN THE COR
Page 113 and 114: 4.6. FITTING QPO DATA FROM XTE J155
Page 115 and 116: 4.6. FITTING QPO DATA FROM XTE J155
Page 117 and 118: 4.7. HIGHER ORDER STATISTICS 117 ob
Page 119 and 120: 4.7. HIGHER ORDER STATISTICS 119 bi
Page 121 and 122: 4.7. HIGHER ORDER STATISTICS 121 Fi
Page 123 and 124: 4.7. HIGHER ORDER STATISTICS 123 12
Page 125 and 126: 4.8. SUMMARY 125 els. Clearly the h
Page 127 and 128: Chapter 5 Steady-state α-disks The
Page 129 and 130: 5.1. STEADY-STATE DISKS OUTSIDE THE
Page 135: 5.1. STEADY-STATE DISKS OUTSIDE THE
Page 139 and 140: 5.2. GEODESIC PLUNGE INSIDE THE ISC
Page 141 and 142: 5.2. GEODESIC PLUNGE INSIDE THE ISC
Page 143 and 144: 5.3. NUMERICAL IMPLEMENTATION 143 F
Page 145 and 146: 5.3. NUMERICAL IMPLEMENTATION 145 a
Page 147 and 148: 5.3. NUMERICAL IMPLEMENTATION 147 (
Page 149 and 150: 5.4. OBSERVED SPECTRUM OF THE DISK
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
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7.3. NEW APPLICATIONS OF CURRENT CO
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7.4. NEW FEATURES FOR CODE 189 grou
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7.5. DEVELOPMENT OF NEW MODELS 191
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Appendix A Formulae for Hamiltonian
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195 The relevant spatial derivative
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Appendix B Summing Periodic Functio
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199 Over a sample time T f ≫ T l
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Bibliography Abramowicz, M. A., Lan
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BIBLIOGRAPHY 203 Damour, T., & Espo
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BIBLIOGRAPHY 205 Hawler, J. F., & G
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BIBLIOGRAPHY 207 McClintock, J. E.,
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BIBLIOGRAPHY 209 Psaltis, D. 2001b,
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BIBLIOGRAPHY 211 Stern, B., et al.
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