04435nam 2200733Ia 450 991078602650332120230331011450.01-283-97143-7981-4434-17-5(CKB)2670000000328637(EBL)1113161(OCoLC)827210207(SSID)ssj0000850986(PQKBManifestationID)12368601(PQKBTitleCode)TC0000850986(PQKBWorkID)10838511(PQKB)10580817(MiAaPQ)EBC1113161(WSP)00000622(Au-PeEL)EBL1113161(CaPaEBR)ebr10648629(CaONFJC)MIL428393(EXLCZ)99267000000032863719881104d1988 uy 0engur|n|---|||||txtccrLower dimensional gravity[electronic resource] /John David BrownSingapore ;Teaneck, N.J. World Scientificc19881 online resource (164 p.)A revised version of the author' thesis. Cf. p. v.9971-5-0622-X Includes bibliographical references.CONTENTS; I INTRODUCTION; I.1 Three Dimensional Gravity; I.2 Two Dimensional Gravity; References for Chapter I; II THE ASYMPTOTIC STRUCTURE OF THREE DIMENSIONAL GRAVITY; II.1 Introduction; II.2 Solutions To Three Dimensional Gravity With Λ < 0; II.3 Global Charges and the RxSO(2) Asymptotic Symmetries; II.4 The Conformal Group Of Asymptotic Symmetries; IV.5 The Canonical Realization Of Asymptotic Symmetries; II. Appendix 1: The Initial Value Problem; II. Appendix 2: The Lie and Surface Deformation Algebras; References for Chapter II; III BL.ACK HOLES IN TWO SPACETIME DIMENSIONSIII.1 Point Sources in Two Dimensional GravityIII.2 Black Hole Solutions; References for Chapter III; IV NEUTRALIZATION OF THE COSMOLOGICAL CONSTANT IN TWO SPACETIME DIMENSIONS; IV.I Introduction; IV.1a. Particle creation.; IV.1b. Neutralization of the cosmological constant.; IV.1c. Additional features of particle creation.; IV.1d. Overview.; IV.2 Pair Creation Without Gravity; IV.2a. Lorentzian solutions.; IV.2b. Instantons.; IV.2c. Action and probability.; IV.3 Adding Gravity; IV.3a. The gravitational equation.; IV.3b. Geometry of the instantons.; IV.4 Instantons For Pair CreationIV..4a. Solving the equations.IV.4b. Interpretation.; IV.5 The Gravitational Action; IV.5a. Coordinate invariance.; IV.5b. Surface terms.; IV.6 Probability For Particle Creation; IV.6a. Type 1 instantons.; IV.6b. Topology change.; IV.6c. Dependence on m and e.; IV.7 The Cosmological Constant; IV.7a. Evolution from de Sitter spacetime.; IV.7b. Evolution to (nearly) flat spacetime.; IV.8 Membrane Creation In Four Dimensions; IV.8a. Four dimensional generalization.; IV.8b. Instantons.; IV.8c. Probability.; IV.8d. Neutralizing the cosmological constant.; References for Chapter IVThis book addresses the subject of gravity theories in two and three spacetime dimensions. The prevailing philosophy is that lower dimensional models of gravity provide a useful arena for developing new ideas and insights, which are applicable to four dimensional gravity. The first chapter consists of a comprehensive introduction to both two and three dimensional gravity, including a discussion of their basic structures. In the second chapter, the asymptotic structure of three dimensional Einstein gravity with a negative cosmological constant is analyzed. The third chapter contains a treatmentQuantum gravitySupergravityGauge fields (Physics)General relativity (Physics)Symmetry (Physics)Space and timeParticles (Nuclear physics)Mathematical physicsQuantum gravity.Supergravity.Gauge fields (Physics)General relativity (Physics)Symmetry (Physics)Space and time.Particles (Nuclear physics)Mathematical physics.530.11Brown John David1496932MiAaPQMiAaPQMiAaPQBOOK9910786026503321Lower dimensional gravity3721871UNINA