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1 | (10) |
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2 | (9) |
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6 | (5) |
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2 Superradiance in Flat Spacetime |
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11 | (24) |
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2.1 Klein Paradox: The First Example of Superradiance |
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11 | (3) |
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12 | (1) |
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2.1.2 Fermionic Scattering |
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13 | (1) |
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2.2 Superradiance and Pair Creation |
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14 | (2) |
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2.3 Superradiance and Spontaneous Emission by a Moving Object |
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16 | (5) |
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2.3.1 Cherenkov Emission and Superradiance |
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18 | (1) |
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2.3.2 Cherenkov Radiation by Neutral Particles |
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18 | (2) |
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2.3.3 Superradiance in Superfluids and Superconductors |
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20 | (1) |
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2.4 Sound Amplification by Shock Waves |
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21 | (3) |
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21 | (1) |
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2.4.2 Superradiant Amplification at Discontinuities |
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22 | (2) |
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2.5 Rotational Superradiance |
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24 | (5) |
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2.5.1 Example 1. Scalar Waves |
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25 | (1) |
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2.5.2 Example 2. Sound and Surface Waves: A Practical Experimental Setup? |
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26 | (3) |
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29 | (6) |
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32 | (3) |
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3 Superradiance in Black Hole Physics |
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35 | (62) |
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3.1 Action, Equations of Motion and Black Hole Spacetimes |
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36 | (6) |
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3.1.1 Static, Charged Backgrounds |
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36 | (1) |
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3.1.2 Spinning, Neutral Backgrounds |
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37 | (1) |
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3.1.3 Geodesics and Frame Dragging in the Kerr Geometry |
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38 | (1) |
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39 | (2) |
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3.1.5 Intermezzo: Stationary and Axisymmetric Black Holes Have an Ergoregion |
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41 | (1) |
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3.2 Area Theorem Implies Superradiance |
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42 | (1) |
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3.3 Energy Extraction from Black Holes: The Penrose Process |
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43 | (11) |
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3.3.1 The Original Penrose Process |
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44 | (3) |
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3.3.2 The Newtonian Carousel Analogy |
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47 | (1) |
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3.3.3 Penrose's Process: Energy Limits |
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48 | (2) |
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3.3.4 The Penrose Process in Generic Spacetimes |
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50 | (2) |
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3.3.5 The Collisional Penrose Process: Ultra-High-Energy Debris |
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52 | (2) |
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3.4 The ABC of Black Hole Superradiance |
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54 | (2) |
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3.5 Superradiance from Charged Static Black Holes |
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56 | (4) |
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3.5.1 Linearized Analysis: Amplification Factors |
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56 | (1) |
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3.5.2 Backreaction on the Geometry: Mass and Charge Loss |
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57 | (3) |
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3.6 Superradiance from Rotating Black Holes |
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60 | (14) |
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3.6.1 Bosonic and Fermionic Fields in the Kerr Geometry |
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60 | (2) |
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3.6.2 Energy Fluxes of Bosonic Fields at Infinity and on the Horizon |
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62 | (2) |
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3.6.3 Amplification Factors |
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64 | (1) |
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3.6.4 Dirac Fields on the Kerr Geometry |
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65 | (2) |
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3.6.5 Linearized Analysis: Analytic Versus Numerics |
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67 | (3) |
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3.6.6 Scattering of Plane Waves |
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70 | (3) |
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3.6.7 Nonlinear Superradiant Scattering |
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73 | (1) |
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3.7 Boosted Black Strings: Ergoregions Without Superradiance |
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74 | (3) |
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3.8 Superradiance in Higher Dimensional Spacetimes |
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77 | (1) |
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3.9 Superradiance in Analogue Black Hole Geometries |
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78 | (2) |
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3.10 Superradiance in Nonasymptotically Flat Spacetimes |
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80 | (1) |
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3.11 Superradiance from Stars |
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81 | (2) |
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3.12 Superradiance Beyond General Relativity |
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83 | (2) |
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3.12.1 Superradiance of Black Holes Surrounded by Matter in Scalar-Tensor Theories |
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84 | (1) |
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3.13 Microscopic Description of Superradiance and the Kerr/CFT Duality |
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85 | (2) |
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87 | (10) |
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89 | (8) |
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4 Black Holes and Superradiant Instabilities |
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97 | (60) |
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4.1 No Black Hole Fission Processes |
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97 | (2) |
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4.2 Spinning Black Holes in Confining Geometries are Unstable |
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99 | (2) |
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4.3 Superradiant Instabilities: Time-Domain Evolutions Versus an Eigenvalue Search |
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101 | (1) |
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4.4 Black Holes Enclosed in a Mirror |
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102 | (3) |
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4.4.1 Rotating Black-Hole Bombs |
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102 | (3) |
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4.4.2 Charged Black-Hole Bombs |
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105 | (1) |
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4.5 Black Holes in AdS Backgrounds |
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105 | (8) |
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4.5.1 Instability of Small Kerr-AdS Black Holes and New BH Solutions |
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106 | (4) |
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4.5.2 Charged AdS Black Holes: Spontaneous Symmetry Breaking and Holographic Superconductors |
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110 | (3) |
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4.6 Massive Bosonic Fields |
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113 | (12) |
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4.6.1 The Zoo of Light Bosonic Fields in Extensions of the Standard Model |
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114 | (2) |
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4.6.2 Massive Scalar Fields |
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116 | (3) |
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4.6.3 Massive Vector Fields |
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119 | (3) |
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4.6.4 Massive Tensor Fields |
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122 | (2) |
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4.6.5 A Unified Picture of Superradiant Instabilities of Massive Bosonic Fields |
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124 | (1) |
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4.7 Black Holes Immersed in a Magnetic Field |
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125 | (2) |
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4.8 Superradiant Instability of Black Holes Surrounded by Conducting Rings |
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127 | (1) |
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4.9 Nonminimal Interactions |
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128 | (3) |
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4.9.1 Plasma-Triggered Superradiant Instabilities |
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129 | (1) |
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4.9.2 Spontaneous Superradiant Instabilities in Scalar-Tensor Theories |
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129 | (2) |
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4.10 Kaluza-Klein Mass: Superradiant Instabilities in Higher Dimensions |
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131 | (1) |
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4.11 Ergoregion Instability |
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132 | (11) |
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4.11.1 Ergoregion Instability of Rotating Objects: A Consistent Approach |
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133 | (5) |
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4.11.2 Ergoregion Instability and Long-Lived Modes |
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138 | (2) |
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4.11.3 Ergoregion Instability in Fluids |
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140 | (2) |
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4.11.4 Ergoregion Instability and Hawking Radiation |
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142 | (1) |
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4.12 Black-Hole Lasers and Superluminal Corrections to Hawking Radiation |
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143 | (1) |
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4.13 Black Holes in Lorentz-Violating Theories: Nonlinear Instabilities |
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144 | (1) |
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144 | (13) |
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147 | (10) |
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5 Black Hole Superradiance in Astrophysics |
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157 | (56) |
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5.1 Superradiance and Relativistic Jets |
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157 | (8) |
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5.1.1 Blandford-Znajek Process |
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158 | (3) |
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5.1.2 Blandford-Znajek Process and the Membrane Paradigm |
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161 | (4) |
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5.2 Superradiance, CFS Instability, and r-Modes of Spinning Stars |
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165 | (3) |
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5.3 Evolution of Superradiant Instabilities: Gravitational-Wave Emission and Accretion |
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168 | (9) |
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5.3.1 Scalar Clouds Around Spinning Black Holes |
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169 | (1) |
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5.3.2 Gravitational-Wave Emission from the Bosonic Condensate |
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170 | (1) |
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170 | (2) |
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5.3.4 Growth and Decay of Bosonic Condensates Around Spinning Black Holes |
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172 | (2) |
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5.3.5 Superradiant Instabilities Imply No Highly-Spinning Black Holes |
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174 | (2) |
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5.3.6 Summary of the Evolution of Superradiant Instabilities |
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176 | (1) |
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5.4 Astrophysical Black Holes as Particle Detectors |
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177 | (10) |
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5.4.1 Bounds on the Mass of Bosonic Fields from Gaps in the Regge Plane |
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178 | (3) |
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5.4.2 Gravitational-Wave Signatures and Bosenova |
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181 | (4) |
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185 | (2) |
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5.5 Are Black Holes in the Universe of the Kerr Family? |
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187 | (5) |
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5.5.1 Circumventing the No-Hair Theorem with Complex Scalars |
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188 | (2) |
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5.5.2 Other Hairy Solutions and the Role of Tidal Dissipation |
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190 | (1) |
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5.5.3 Formation of Hairy Solutions and Bounds on Bosonic Fields |
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191 | (1) |
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192 | (2) |
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5.7 Intrinsic Limits on Magnetic Fields |
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194 | (2) |
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5.8 Phenomenology of the Ergoregion Instability |
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196 | (6) |
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5.8.1 Ergoregion Instability of Ultracompact Stars |
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197 | (1) |
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5.8.2 Supporting the Black-Hole Paradigm: Instabilities of Black-Hole Mimickers |
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198 | (4) |
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202 | (11) |
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204 | (9) |
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6 Conclusions and Outlook |
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213 | (2) |
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A List of Publicly Available Codes |
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215 | (2) |
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B Analytic Computation of the Amplification Coefficients |
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217 | (4) |
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C Angular Momentum and Energy |
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221 | (2) |
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C.1 Energy and Angular Momentum Fluxes at the Horizon |
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222 | (1) |
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D Electromagnetic Fluctuations Around a Rotating Black Hole Enclosed in a Mirror |
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223 | (6) |
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E Hartle-Thorne Formalism for Slowly-Rotating Spacetimes and Perturbations |
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229 | (4) |
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229 | (1) |
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E.2 Perturbations of a Slowly-Rotating Object |
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230 | (3) |
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E.2.1 Scalar Perturbations of a Slowly-Rotating Star |
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231 | (2) |
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F WKB Analysis of Long-Lived and Unstable Modes of Ultracompact Objects |
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233 | |
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236 | |