Black Holes: The Membrane ParadigmKip S. Thorne, Kirk S. Thorne, Richard H. Price, Douglas A. MacDonald This pedagogical introduction to the physics of black holes emphasizes the "membrane paradigm", which translates the mathematics and physics of black holes into a form accessible to readers with little knowledge of general relativity but a solid grounding in nonrelativistic physics. This is accomplished without resort to approximations or loss of content. Instead of treating a black hole's "event horizon" as a globally defined null surface in four-dimensional space time, the paradigm views it as a two-dimensional membrane in three-dimensional space. Made of viscous fluid, electrically charged and conducting, with finite entropy and temperature but no power to conduct heat, this membrane is seen as having familiar properties that enable the reader to understand intuitively and compute quantitatively the behavior of black holes in complex astrophysical environments. |
Contents
Nonrotating and Slowly Rotating Holes | 13 |
The Stretched Horizon of a Nonrotating or Slowly | 27 |
Model Problems for Nonrotating and Slowly Rotating Holes | 41 |
Rapidly Rotating Holes | 67 |
B The 3+1 Split of the Laws of Physics outside a Rotating | 81 |
The Stretched Horizon of a Rotating Hole | 94 |
Astrophysical Applications of BlackHole | 121 |
Qualitative Features of the BlackHole Magnetosphere | 132 |
Gravitational Interaction of a Black Hole | 181 |
Structure and Evolution of the Stretched Horizon | 196 |
Model Problems for Gravitationally | 235 |
B Rotating Perturbations | 245 |
E Model Problems with Radially Moving Particles | 268 |
The Thermal Atmosphere of a Black Hole | 280 |
B The Physical Laws Governing Black Hole Atmospheres | 286 |
Model Problems for BlackHole Atmospheres | 314 |
Structure and Energetics of a Stationary Axisymmetric | 138 |
Gravitational Interaction of a Black | 146 |
B Model Problems for the Precession of Black Holes | 171 |
341 | |
Author Index | 349 |
Common terms and phrases
3+1 split absolute space acceleration accretion disk angular momentum angular velocity astrophysical asymptotic rest frame axis black-hole charge components compute conservation coordinates correspondingly curvature curve density derived dissipation electric field electromagnetic embedding diagram entropy equation evolution external universe FIDO-measured FIDOs finite flux gravitational field gravitomagnetic hole's mass hole's rotation inertial frame integral interaction izon Kerr hole lapse function locally measured energy Macdonald magnetic field membrane paradigm metric model problem modes motion Newtonian nonrotating hole orbit particle perturbations physical polar precession precisely produces quanta radial radius redshifted energy region renormalized Rindler rotating black hole rotating hole Schwarzschild hole shear slicing spacetime spatial star star-fixed stretched horizon subsection Suen surface tensor Teukolsky thermodynamics Thorne tidal field tidal force tion torque true horizon unperturbed vanishes vector viewpoint viscous waves ΣΗ ΩΗ