Lower Dimensional Gravity.
Başlık:
Lower Dimensional Gravity.
Yazar:
Brown, John David.
ISBN:
9789814434171
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 online resource (164 pages)
İçerik:
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 DIMENSIONS -- III.1 Point Sources in Two Dimensional Gravity -- III.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 Creation -- IV..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 IV.
Özet:
This 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 treatment of the effects of matter sources in classical two dimensional gravity. The fourth chapter gives a complete analysis of particle pair creation by electric and gravitational fields in two dimensions, and the resulting effect on the cosmological constant. Lower dimensional gravity may have never been reviewed in its entirety anywhere in the literature.
Notlar:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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