- Page 2:
INTERNATIONAL SERIES OF MONOGRAPHS
- Page 6:
Quantum Gravity Second Edition CLAU
- Page 10:
PREFACE TO THE SECOND EDITION The c
- Page 14:
PREFACE The unification of quantum
- Page 18:
CONTENTS 1 Why quantum gravity? 1 1
- Page 22:
CONTENTS xi 7.4.3 Quantization 226
- Page 26:
1 WHY QUANTUM GRAVITY? 1.1 Quantum
- Page 30:
QUANTUM THEORY AND THE GRAVITATIONA
- Page 34:
QUANTUM THEORY AND THE GRAVITATIONA
- Page 38:
QUANTUM THEORY AND THE GRAVITATIONA
- Page 42:
QUANTUM THEORY AND THE GRAVITATIONA
- Page 46:
QUANTUM THEORY AND THE GRAVITATIONA
- Page 50:
QUANTUM THEORY AND THE GRAVITATIONA
- Page 54:
PROBLEMS OF A FUNDAMENTALLY SEMICLA
- Page 58:
PROBLEMS OF A FUNDAMENTALLY SEMICLA
- Page 62:
PROBLEMS OF A FUNDAMENTALLY SEMICLA
- Page 66:
PROBLEMS OF A FUNDAMENTALLY SEMICLA
- Page 70:
APPROACHES TO QUANTUM GRAVITY 23 is
- Page 74:
2 COVARIANT APPROACHES TO QUANTUM G
- Page 78:
THE CONCEPT OF A GRAVITON 27 two in
- Page 82:
THE CONCEPT OF A GRAVITON 29 Exploi
- Page 86:
THE CONCEPT OF A GRAVITON 31 of the
- Page 90:
THE CONCEPT OF A GRAVITON 33 only t
- Page 94:
THE CONCEPT OF A GRAVITON 35 ¬ Þ
- Page 98:
THE CONCEPT OF A GRAVITON 37 where
- Page 102:
PATH-INTEGRAL QUANTIZATION 39 state
- Page 106:
PATH-INTEGRAL QUANTIZATION 41 canon
- Page 110:
PATH-INTEGRAL QUANTIZATION 43 inter
- Page 114:
PATH-INTEGRAL QUANTIZATION 45 quant
- Page 118:
PATH-INTEGRAL QUANTIZATION 47 R 3 a
- Page 122:
PATH-INTEGRAL QUANTIZATION 49 Perfo
- Page 126:
PATH-INTEGRAL QUANTIZATION 51 £
- Page 130:
PATH-INTEGRAL QUANTIZATION 53 Ven (
- Page 134:
PATH-INTEGRAL QUANTIZATION 55 forma
- Page 138:
PATH-INTEGRAL QUANTIZATION 57 Unfor
- Page 142:
PATH-INTEGRAL QUANTIZATION 59 F =
- Page 146:
PATH-INTEGRAL QUANTIZATION 61 and c
- Page 150:
PATH-INTEGRAL QUANTIZATION 63 first
- Page 154:
PATH-INTEGRAL QUANTIZATION 65 is ob
- Page 158:
PATH-INTEGRAL QUANTIZATION 67 t+1 t
- Page 162:
PATH-INTEGRAL QUANTIZATION 69 For t
- Page 166:
QUANTUM SUPERGRAVITY 71 quantum fie
- Page 170:
3 PARAMETRIZED AND RELATIONAL SYSTE
- Page 174:
PARTICLE SYSTEMS 75 can be set to z
- Page 178:
and are compatible with the time ev
- Page 182:
where here PARTICLE SYSTEMS 79 H S
- Page 186:
THE FREE BOSONIC STRING 81 render t
- Page 190:
THE FREE BOSONIC STRING 83 and Ĥ 1
- Page 194:
THE FREE BOSONIC STRING 85 In the s
- Page 198:
PARAMETRIZED FIELD THEORIES 87 with
- Page 202:
PARAMETRIZED FIELD THEORIES 89 Ü
- Page 206:
PARAMETRIZED FIELD THEORIES 91 spac
- Page 210:
RELATIONAL DYNAMICAL SYSTEMS 93 X x
- Page 214:
RELATIONAL DYNAMICAL SYSTEMS 95 whe
- Page 218:
RELATIONAL DYNAMICAL SYSTEMS 97 Thi
- Page 222:
THE SEVENTH ROUTE TO GEOMETRODYNAMI
- Page 226:
THE SEVENTH ROUTE TO GEOMETRODYNAMI
- Page 230:
THE SEVENTH ROUTE TO GEOMETRODYNAMI
- Page 234:
THE 3+1 DECOMPOSITION OF GENERAL RE
- Page 238:
THE 3+1 DECOMPOSITION OF GENERAL RE
- Page 242:
THE 3+1 DECOMPOSITION OF GENERAL RE
- Page 246:
THE 3+1 DECOMPOSITION OF GENERAL RE
- Page 250:
THE 3+1 DECOMPOSITION OF GENERAL RE
- Page 254:
THE 3+1 DECOMPOSITION OF GENERAL RE
- Page 258:
THE 3+1 DECOMPOSITION OF GENERAL RE
- Page 262:
THE 3+1 DECOMPOSITION OF GENERAL RE
- Page 266:
THE 3+1 DECOMPOSITION OF GENERAL RE
- Page 270:
THE 3+1 DECOMPOSITION OF GENERAL RE
- Page 274:
CANONICAL GRAVITY WITH CONNECTIONS
- Page 278:
CANONICAL GRAVITY WITH CONNECTIONS
- Page 282:
CANONICAL GRAVITY WITH CONNECTIONS
- Page 286:
CANONICAL GRAVITY WITH CONNECTIONS
- Page 290:
5 QUANTUM GEOMETRODYNAMICS 5.1 The
- Page 294:
THE PROGRAMME OF CANONICAL QUANTIZA
- Page 298:
THE PROBLEM OF TIME 137 parameter (
- Page 302:
THE PROBLEM OF TIME 139 One can der
- Page 306:
THE PROBLEM OF TIME 141 The main pr
- Page 310:
THE PROBLEM OF TIME 143 ∫ ∏ 〈
- Page 314:
THE GEOMETRODYNAMICAL WAVE FUNCTION
- Page 318:
THE GEOMETRODYNAMICAL WAVE FUNCTION
- Page 322:
THE GEOMETRODYNAMICAL WAVE FUNCTION
- Page 326:
THE GEOMETRODYNAMICAL WAVE FUNCTION
- Page 330:
THE GEOMETRODYNAMICAL WAVE FUNCTION
- Page 334:
THE GEOMETRODYNAMICAL WAVE FUNCTION
- Page 338:
THE GEOMETRODYNAMICAL WAVE FUNCTION
- Page 342:
THE GEOMETRODYNAMICAL WAVE FUNCTION
- Page 346:
THE GEOMETRODYNAMICAL WAVE FUNCTION
- Page 350:
THE GEOMETRODYNAMICAL WAVE FUNCTION
- Page 354:
THE SEMICLASSICAL APPROXIMATION 165
- Page 358:
THE SEMICLASSICAL APPROXIMATION 167
- Page 362:
THE SEMICLASSICAL APPROXIMATION 169
- Page 366:
THE SEMICLASSICAL APPROXIMATION 171
- Page 370:
THE SEMICLASSICAL APPROXIMATION 173
- Page 374:
THE SEMICLASSICAL APPROXIMATION 175
- Page 378:
THE SEMICLASSICAL APPROXIMATION 177
- Page 382:
THE SEMICLASSICAL APPROXIMATION 179
- Page 386:
6 QUANTUM GRAVITY WITH CONNECTIONS
- Page 390:
CONNECTION AND LOOP VARIABLES 183 h
- Page 394:
CONNECTION AND LOOP VARIABLES 185
- Page 398:
CONNECTION AND LOOP VARIABLES 187
- Page 402:
QUANTIZATION OF AREA 189 S and S
- Page 406:
∫ Ê i [S]U[A, α] =−8πβi QUA
- Page 410:
QUANTIZATION OF AREA 193 (and highe
- Page 414:
QUANTUM HAMILTONIAN CONSTRAINT 195
- Page 418:
Furthermore, one can show that QUAN
- Page 422:
7 QUANTIZATION OF BLACK HOLES 7.1 B
- Page 426:
BLACK-HOLE THERMODYNAMICS AND HAWKI
- Page 430:
BLACK-HOLE THERMODYNAMICS AND HAWKI
- Page 434:
BLACK-HOLE THERMODYNAMICS AND HAWKI
- Page 438:
BLACK-HOLE THERMODYNAMICS AND HAWKI
- Page 442:
CANONICAL QUANTIZATION OF THE SCHWA
- Page 446:
CANONICAL QUANTIZATION OF THE SCHWA
- Page 450:
CANONICAL QUANTIZATION OF THE SCHWA
- Page 454:
CANONICAL QUANTIZATION OF THE SCHWA
- Page 458:
BLACK-HOLE SPECTROSCOPY AND ENTROPY
- Page 462:
BLACK-HOLE SPECTROSCOPY AND ENTROPY
- Page 466:
QUANTUM THEORY OF COLLAPSING DUST S
- Page 470:
QUANTUM THEORY OF COLLAPSING DUST S
- Page 474:
QUANTUM THEORY OF COLLAPSING DUST S
- Page 478:
QUANTUM THEORY OF COLLAPSING DUST S
- Page 482:
THE LEMAîTRE-TOLMAN-BONDI MODEL 22
- Page 486:
THE LEMAîTRE-TOLMAN-BONDI MODEL 23
- Page 490:
THE LEMAîTRE-TOLMAN-BONDI MODEL 23
- Page 494:
THE LEMAîTRE-TOLMAN-BONDI MODEL 23
- Page 498:
THE INFORMATION-LOSS PROBLEM 237 bl
- Page 502:
PRIMORDIAL BLACK HOLES 239 time of
- Page 506:
PRIMORDIAL BLACK HOLES 241 Table 7.
- Page 510:
8 QUANTUM COSMOLOGY 8.1 Minisupersp
- Page 514:
MINISUPERSPACE MODELS 245 The usual
- Page 518:
MINISUPERSPACE MODELS 247 Integrati
- Page 522:
MINISUPERSPACE MODELS 249 term whic
- Page 526:
MINISUPERSPACE MODELS 251 boundary
- Page 530:
MINISUPERSPACE MODELS 253 ( ) ∂ 2
- Page 534:
MINISUPERSPACE MODELS 255 Ψ=A(a,
- Page 538:
MINISUPERSPACE MODELS 257 flat (for
- Page 542:
INTRODUCTION OF INHOMOGENEITIES 259
- Page 546:
INTRODUCTION OF INHOMOGENEITIES 261
- Page 550:
BOUNDARY CONDITIONS 263 as artifici
- Page 554:
BOUNDARY CONDITIONS 265 decided by
- Page 558:
BOUNDARY CONDITIONS 267 a’’ 000
- Page 562:
BOUNDARY CONDITIONS 269 does ‘out
- Page 566:
BOUNDARY CONDITIONS 271 Information
- Page 570:
LOOP QUANTUM COSMOLOGY 273 construc
- Page 574:
LOOP QUANTUM COSMOLOGY 275 obeying
- Page 578:
LOOP QUANTUM COSMOLOGY 277 (V µ+5
- Page 582:
9 STRING THEORY 9.1 General introdu
- Page 586:
GENERAL INTRODUCTION 281 The quanti
- Page 590:
GENERAL INTRODUCTION 283 as the usu
- Page 594:
QUANTUM-GRAVITATIONAL ASPECTS 285 m
- Page 598:
QUANTUM-GRAVITATIONAL ASPECTS 287
- Page 602:
QUANTUM-GRAVITATIONAL ASPECTS 289 S
- Page 606:
QUANTUM-GRAVITATIONAL ASPECTS 291 a
- Page 610:
QUANTUM-GRAVITATIONAL ASPECTS 293 a
- Page 614:
QUANTUM-GRAVITATIONAL ASPECTS 295 c
- Page 618:
QUANTUM-GRAVITATIONAL ASPECTS 297 W
- Page 622:
QUANTUM-GRAVITATIONAL ASPECTS 299 t
- Page 626:
QUANTUM-GRAVITATIONAL ASPECTS 301 T
- Page 630:
QUANTUM-GRAVITATIONAL ASPECTS 303 t
- Page 634:
QUANTUM-GRAVITATIONAL ASPECTS 305
- Page 638:
10 QUANTUM GRAVITY AND THE INTERPRE
- Page 642:
DECOHERENCE AND THE QUANTUM UNIVERS
- Page 646: DECOHERENCE AND THE QUANTUM UNIVERS
- Page 650: DECOHERENCE AND THE QUANTUM UNIVERS
- Page 654: DECOHERENCE AND THE QUANTUM UNIVERS
- Page 658: DECOHERENCE AND THE QUANTUM UNIVERS
- Page 662: ARROW OF TIME 319 Kiefer et al. (19
- Page 666: ARROW OF TIME 321 to understand the
- Page 670: ARROW OF TIME 323 these variables (
- Page 674: OUTLOOK 325 observable universe wer
- Page 678: REFERENCES Achúcarro, A. and Towns
- Page 682: REFERENCES 329 Barceló, C., Libera
- Page 686: REFERENCES 331 (ed. D. Howard and J
- Page 690: REFERENCES 333 to quantum (ed. J. E
- Page 694: REFERENCES 335 New York. DeWitt, B.
- Page 700: 338 REFERENCES Giulini, D. (2003).
- Page 704: 340 REFERENCES Hawking, S. W. (1976
- Page 708: 342 REFERENCES Iwasaki, Y. (1971).
- Page 712: 344 REFERENCES http://www.livingrev
- Page 716: 346 REFERENCES Loll, R., Westra, W.
- Page 720: 348 REFERENCES Núñez, D., Quevedo
- Page 724: 350 REFERENCES Rosenfeld, L. (1963)
- Page 728: 352 REFERENCES Teitelboim, C. (1980
- Page 732: 354 REFERENCES Press, Cambridge. We
- Page 736: This page intentionally left blank
- Page 740: 358 INDEX reduced, 309 deparametriz
- Page 744: 360 INDEX experimental tests, 325 i