612 Index
formulation, 91
Hamiltonian, 97, 158
gauge freedom, 295, 569
internal consistency, 87
Isenberg-Wilson-Mathews approach, 179
isolated systems, 95, 122
mass, 95
mathematical, 108
metric extensions, 491
motion of bodies, 532–253, 324
non-linear theory, 169, 325
numerical, 108
particle motion, 263
perturbation theory, 274–275, 282–283
point particles in, 253–255, 261
nonexistence of, 261, 532
post-Newtonian expansion, 168
predictions, 125, 416
quantizing, 533, 536
quasi-local mass, 122, see Quasi-Local
self-force analysis, 305
solution space, 92
symmetries, 153
tests
fundamental, 28, 449–450, 456
high precision, 443, 449, 456
three-dimensional, 535
two body problem, 273, 395, 562
GEO, 40, 211, 416
geodesic, 96, 106, 216, 218, 220, 253, 255,
257–258, 261–264, 267, 269–274,
283–285, 287, 289–292, 294–295,
299–300, 305, 309–313, 315,
327–330, 333–335, 338–339, 347,
350, 352, 354–355, 361, 367,
377, 381, 386–389, 398, 401–405,
411, 413, 420–422, 450, 454, 482,
522, 532, 534, 561–562, 565, 573,
575–576, 581–582, 584, 587–588,
593–594, 596
background, see background
deviation, 261, 263, 269, 591, 593–595
distance, 257, 311–312, 329–330, 358, 406
equation, 28, 35–36, 40, 58–59, 260, 292,
294, 297–298, 389, 421, 454, 582,
587
motion, 181, 253, 255–256, 260–262, 263,
266–267, 269, 271–273, 292–294,
299, 305–306, 386, 403, 515, 566,
593
non-geodesic, see non-geodesic
post-geodesic, 361
geometrized units, 329
geometry, 25–26, 35, 70, 109, 113, 116, 180,
185, 271–274, 283, 327, 337, 418,
449–450, 463, 476, 547, 597
background, 285–286, 294, 331, 409, 420,
575, 585
black hole, 272, 304, 344, 453
Finsler, 57–60
Kerr, 344, 397, 450, 563
noncommutative, 26, 45, 536, 544
perturbed, 276, 331, 595
quantum, 533, 535–536, 539, 545–546
Riemannian, 28
Schwarzschild, 276, 291, 295–298,
300–301, 303, 361, 421, 575
spacetime, 25–27, 29, 216, 272, 280, 305,
453
Geroch energy, 112, 114, 119
globally hyperbolic spacetimes, 113, 318
gravitating body, 27, 30, 31, 34, 38, 40–41, 479
gravitational
constant, 44, 50, 59, 101, 154, 168, 423,
469, 471, 491, 514, 517–519, 527,
532
time-dependent, 44
energy, 41, 87, 90–92, 94, 122
fields, propagation of, 515
Hamiltonian, 99
redshift, 32, 34–36, 464
self-force, 255, 259, 261, 263–264, 269,
272–277, 284, 291–292, 294,
297–300, 302–306, 309–311,
324–325, 327, 335, 352, 401,
403–404, 408, 413, 416, 422, 453,
584
effect, 263, 298, 306
time delay, 38, 40
gravitational wave, 47, 49, 107, 121–122,
125–128, 157, 161–162, 164, 169,
181, 187–188, 202, 211, 272, 282,
295, 302–303, 305, 327, 396, 416,
443–445, 448–450, 454–456, 464,
471, 476, 483, 529, 569, 575, 582,
584, 597
amplitude, 129
astronomy, 283, 367
detection, 413, 445
emission, 206, 453
emitted, 125–126, 162, 169, 188, 574–575
flux, 128, 159–160, 163
interferometer, 47, 56
interferometry, 561
phase, 164
tail, 135, 415, 418, 427–428