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

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348 T. Banks40. K. Becker and M. Becker, Nucl. Phys. B 477, 155 (1996) [arXiv:hepth/9605053].K. Dasgupta, G. Rajesh and S. Sethi, JHEP 9908, 023 (1999)[arXiv:hep-th/9908088].41. R. Bousso and J. Polchinski, JHEP 0006, 006 (2000) [arXiv:hepth/0004134].42. S. B. Giddings, S. Kachru and J. Polchinski, Phys. Rev. D 66, 106006 (2002)[arXiv:hep-th/0105097].43. S. Kachru, R. Kallosh, A. Linde and S. P. Trivedi, Phys. Rev. D 68, 046005(2003) [arXiv:hep-th/0301240].44. S. Weinberg, “Anthropic Bound On The Cosmological Constant,” Phys.Rev. Lett. 59, 2607 (1987).45. A. D. Linde, Print-83-0620 Invited talk given at Shelter Island II Conf.,Shelter Island, N.Y., Jun 1-3, 1983T. Banks, Phys. Rev. Lett. 52, 1461 (1984).T. Banks, “T C P, Quantum Gravity, The Cosmological Constant And AllThat..,” Nucl. Phys. B 249, 332 (1985). L. F. Abbott, “A Mechanism ForReducing The Value Of The Cosmological Constant,” Phys. Lett. B 150,427 (1985).T. Banks, M. Dine and N. Seiberg, “Irrational axions as a solution of thestrong CP problem in an eternal universe,” Phys. Lett. B 273, 105 (1991)[arXiv:hep-th/9109040].46. J. L. Feng, J. March-Russell, S. Sethi and F. Wilczek, Nucl. Phys. B 602,307 (2001) [arXiv:hep-th/0005276].47. T. Banks,“On isolated vacua and background independence,” arXiv:hep-th/0011255.T. Banks, “A critique of pure string theory: Heterodox opinions of diversedimensions,” arXiv:hep-th/0306074. T. Banks, “Supersymmetry, the cosmologicalconstant and a theory of quantum gravity in our universe,” Gen.Rel. Grav. 35, 2075 (2003) [arXiv:hep-th/0305206]. T. Banks, M. Dine andE. Gorbatov, “Is there a string theory landscape?,” JHEP 0408, 058 (2004)[arXiv:hep-th/0309170]. T. Banks, “Landskepticism or why effective potentialsdon’t count string models,” arXiv:hep-th/0412129.48. A. H. Guth, Phys. Rept. 333, 555 (2000) [arXiv:astro-ph/0002156], andreferences therein. A. D. Linde, “Eternally Existing Selfreproducing ChaoticInflationary Universe,” Phys. Lett. B 175, 395 (1986).49. T. Banks and W. Fischler, arXiv:hep-th/0310288.50. T. Banks, Type II Von Neumann Algebras and M-theory, Manuscript inpreparation51. A. Connes, Non-Commutative Geometry, Academic Press, 1994.52. T. Banks, W. Fischler and L. Mannelli, arXiv:hep-th/0408076.53. T. Banks and W. Fischler, “An holographic cosmology,” arXiv:hepth/0111142.T. Banks and W. Fischler, “Holographic cosmology 3.0,” arXiv:hepth/0310288.T. Banks and W. Fischler, “Holographic cosmology,” arXiv:hep-th/0405200.54. T. Banks, arXiv:astro-ph/0305037.
Space Time in String Theory 34955. T. Banks, arXiv:hep-th/0206117. T. Banks, arXiv:hep-th/0503066.T. Banks, W. Fischler, L. Mannelli, Infrared Divergences in dS/CFT,Manuscript in Preparation.56. T. Banks, arXiv:hep-ph/0203066.T. Banks, arXiv:hep-ph/0408260.57. T. Banks, W. Fischler and S. Paban, JHEP 0212, 062 (2002) [arXiv:hepth/0210160].58. T. Banks, arXiv:hep-th/0503066.
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Published byWorld Scientific Publis
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viA. Ashtekarof space-time that eme
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viiiA. AshtekarGravitational waves
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xA. Ashtekarhappy, schizophrenic at
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xviContents9. Receiving Gravitation
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4 J. Stachel(2) the change over tim
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6 J. StachelFig. 2respectively. Fur
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8 J. Stachelof string theory, M-the
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10 J. StachelLogically, it would se
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12 J. Stachelupon by no (net) exter
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14 J. Stachelof the incompatibility
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16 J. Stachelis an important differ
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18 J. Stachelbetween physical conce
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20 J. Stachel10. Four-Dimensional F
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22 J. Stachelderivative of the metr
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24 J. Stachel(b) General relativity
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26 J. Stachelfour-dimensional analo
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28 J. Stachelply the lessons learne
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30 J. Stachelmanifold appropriate f
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32 J. Stachelwhich merely defines t
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34 J. Stacheldynamical process as a
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36 J. Stachel9. J. Stachel, Special
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Part IIEinstein’s UniverseRamific
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40 H. Nicolai• Higher dimensions
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42 H. Nicolaiadvance, and possibly
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44 H. NicolaiBianchi identities are
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46 H. NicolaiIt does not appear pos
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48 H. NicolaiThe other SL(2, R), of
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50 H. Nicolai3.1. BKL dynamics and
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52 H. Nicolaidegrees of freedom, th
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54 H. Nicolaiin the valley. The Ham
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56 H. NicolaiThe main feature of th
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58 H. Nicolai4. Basics of Kac Moody
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60 H. Nicolaifor indefinite A. It i
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62 H. NicolaiThe level l = 0 sector
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64 H. NicolaiConsequently, the repr
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66 H. Nicolaiwhere the abelian part
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68 H. Nicolaiconstant momenta Π yi
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70 H. Nicolaiσ-model side is suppo
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72 H. NicolaiReferences1. H.A. Buch
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74 H. Nicolai44. G. Neugebauer and
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CHAPTER 3THE NATURE OF SPACETIME SI
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78 A. D. Rendallspacetime to define
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80 A. D. RendallOne of the most imp
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82 A. D. Rendalltheorems was an elu
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84 A. D. Rendallsymmetric solution
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86 A. D. Rendallback into a curvatu
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88 A. D. Rendallspace and there are
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The Nature of Spacetime Singulariti
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CHAPTER 4BLACK HOLES - AN INTRODUCT
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Black Holes 95It follows that ˙v d
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Black Holes 973221100-1-1-2-200-5-3
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Black Holes 99calculation of the de
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Black Holes 101family of null geode
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Black Holes 105(3) Ω is positive o
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Black Holes 107In dimension 3 + 1 t
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Black Holes 109A fundamental theore
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Black Holes 111(4) The Kerr black h
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Black Holes 113˚g ab =˚g ab (x a
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Black Holes 115It is a folklore the
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Black Holes 117⃗x 4 = −⃗x 3
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Black Holes 119Work partially suppo
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Black Holes 121totically flat space
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Black Holes 12376. R.C. Myers and M
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The Physical Basis of Black Hole As
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Probing Space-Time Through Numerica
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CHAPTER 7UNDERSTANDING OUR UNIVERSE
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Understanding Our Universe: Current
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CHAPTER 8WAS EINSTEIN RIGHT? TESTIN
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Was Einstein Right? 207We begin in
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Was Einstein Right? 20910 -810 -9E
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Was Einstein Right? 211On this 100t
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Was Einstein Right? 213The SME and
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Was Einstein Right? 215where d is t
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Was Einstein Right? 217of VLBI data
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Was Einstein Right? 219milliarcseco
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Was Einstein Right? 2215. Gravitati
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Was Einstein Right? 223be measured
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Was Einstein Right? 22510. J. G. Wi
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Was Einstein Right? 22761. C. M. Wi
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Receiving Gravitational Waves 229th
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Receiving Gravitational Waves 231gr
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Receiving Gravitational Waves 233Th
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Receiving Gravitational Waves 235We
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Receiving Gravitational Waves 23719
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Receiving Gravitational Waves 239th
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Receiving Gravitational Waves 241to
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Receiving Gravitational Waves 243In
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Receiving Gravitational Waves 245
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Receiving Gravitational Waves 247a
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Receiving Gravitational Waves 249ab
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Receiving Gravitational Waves 251Fi
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Receiving Gravitational Waves 253Eq
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Receiving Gravitational Waves 255In
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CHAPTER 10RELATIVITY IN THE GLOBAL
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Relativity in the Global Positionin
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Part IIIBeyond EinsteinUnifying Gen
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CHAPTER 11SPACETIME IN SEMICLASSICA
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Spacetime in Semiclassical Gravity
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Page 329 and 330: CHAPTER 12SPACE TIME IN STRING THEO
Page 331 and 332: Space Time in String Theory 313limi
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Page 335 and 336: Space Time in String Theory 317In s
Page 337 and 338: Space Time in String Theory 319of t
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Page 345 and 346: Space Time in String Theory 327in a
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Page 365: Space Time in String Theory 34723.
Page 369 and 370: Gravity, Geometry and the Quantum 3
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Page 401 and 402: Loop Quantum Cosmology 383inflation
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Page 407 and 408: Loop Quantum Cosmology 389sically d
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Loop Quantum Cosmology 399exist. Th
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Loop Quantum Cosmology 401in the ex
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Loop Quantum Cosmology 403λ max or
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Loop Quantum Cosmology 405This happ
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Loop Quantum Cosmology 407Loop quan
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Loop Quantum Cosmology 409to obtain
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Loop Quantum Cosmology 411familiar
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Loop Quantum Cosmology 41334. M. Bo
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CHAPTER 15CONSISTENT DISCRETE SPACE
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Consistent Discrete Space-Time 417v
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Consistent Discrete Space-Time 419I
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Consistent Discrete Space-Time 421a
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Consistent Discrete Space-Time 423F
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Consistent Discrete Space-Time 4250
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Consistent Discrete Space-Time 4272
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Consistent Discrete Space-Time 429i
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Consistent Discrete Space-Time 431a
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Consistent Discrete Space-Time 433n
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Consistent Discrete Space-Time 435t
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Consistent Discrete Space-Time 437w
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Consistent Discrete Space-Time 439f
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Consistent Discrete Space-Time 441(
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Consistent Discrete Space-Time 443R
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CHAPTER 16CAUSAL SETS ANDTHE DEEP S
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Causal Sets and the Deep Structure
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CHAPTER 17THE TWISTOR APPROACH TOSP
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The Twistor Approach to Space-Time
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INDEXσ models, 57, 65, 693+1 formu
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Index 509inflation, 383, 385-387, 4
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