100 Years of Relativity Space-Time Structure: Einstein and Beyond ...

508 Indexdark energy, 298, 299decoherence, 396, 413, 415, 437–439,443deflection of light, 210, 214, 218diffeomorphism, 29, 30invariance, 356–358, 360difference equation, 395, 397, 398,403, 405differentiable manifolds, 29, 32discrete spacetime, 448, 449, 452discretization, 415–418, 421, 422, 424,427, 429, 431, 437, 439–442domain of outer communications, 109duality symmetries, 41–43dynamicsEulerian, 3, 4, 9, 24, 25, 33, 34Lagrangian, 3, 4, 9, 24, 25, 33, 34Eötvös experiment, 208earth’s quadrupole moment, 265, 280,281eccentricity effect, 275–278, 280, 283ECI (earth-centered inertial frame),280energy condition, 79, 89, 293, 300–302equivalence principle, 6, 24, 25, 205,207–210, 214ergoregion, 100, 109ergosphere, 100ether, 4, 13, 14Eulerconstant, 497, 498homogeneity operator, 494event horizon, 95, 106exceptional groups, 40, 69factory frequency offset, 280, 283, 285Fermi model, 355Fetishism of mathematics, 17fiber bundlecross-section of, 29, 36finite differences, 153Flamm paraboloid, 97fluctuating spacetime, 307force, tidal, 27frame dragging (Lense-Thirringeffect), 219generalcovariance, 30, 36non-relativity, 5, 23, 28relativity, 3, 5, 6, 8, 23–25, 27–36,416, 437, 439, 441–443generally covariant systems, 416, 418,419, 443GEO, 242, 250, 252geodesic deviation, 27geometric operators, 361, 375googly problem, 465, 491–493, 497,499Gowdy spacetime, 83, 84, 90–92GPS (or Global Positioning System),257orbit adjustments, 257, 279, 284gravitationalbilliards, 47, 49, 50, 56, 68, 69frequency shift, 273, 274, 286wave detector, 236, 238, 246, 250waves, 205, 206, 221–223, 228–231,233, 236, 240, 253–255Gravity Probe B, 205, 217, 226harmonic coordinates, 157Hawkingeffect, 296, 297rigidity theorem, 110helicity, 468, 473–475, 477–479, 484,486, 492, 495, 498, 499Holographic Principle, 313, 314, 342,345holomorphic (function, structure)Riemann sphere, 468–470, 478, 479,481, 483, 486, 487holonomies, 356–359, 370, 371holonomy, 389–391, 394, 401hyperbolic formulations, 155, 156, 159inertial framessystems, 11–14, 17, 21, 24inertio-gravitational field, 24, 25, 27,28, 31–33