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Euclidean Quantum Gravity - Gary W. Gibbons

Euclidean Quantum Gravity

By: Gary W. Gibbons (Editor), Stephen W. Hawking (Editor)

Paperback Published: 1993
ISBN: 9789810205164
Number Of Pages: 600

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The Euclidean approach to quantum gravity was initiated almost 15 years ago in an attempt to understand the difficulties raised by the spacetime singularities of classical general relativity which arise in the gravitational collapse of stars to form black holes and the entire universe in the Big Bang. An important motivation was to develop an approach capable of dealing with the non-linear, non-perturbative aspects of quantum gravity due to topologically non-trivial spacetimes. There are important links with a Riemannian geometry. Since its inception the theory has been applied to a number of important physical problems including the thermodynamic properties of black holes, quantum cosmology and the problem of the cosmological constant. It is currently at the centre of a great deal of interest. This is a collection of survey lectures and reprints of some important lectures on the Euclidean approach to quantum gravity in which one expresses the Feynman path integral as a sum over Riemannian metrics. As well as papers on the basic formalism there are sections on black holes, quantum cosmology, wormholes and gravitational instantons.

General Formalism
One-Loop Divergencies in the Theory of Gravitationp. 3
The Path-Integral Approach to Quantum Gravityp. 29
Euclidean Quantum Gravityp. 73
Path Integrals and the Indefiniteness of the Gravitational Actionp. 102
Proof of the Positive Action Conjecture in Quantum Relativityp. 112
Zeta Function Regularization of Path Integrals in Curved Spacetimep. 114
The Conformal Rotation in Perturbative Gravityp. 130
Quantum Tunneling and Negative Eigenvaluesp. 152
A Relation Between Volume, Mean Curvature and Diameterp. 161
The Cosmological Constant is Probably Zerop. 162
Black Holes
Particle Creation by Black Holesp. 167
Path Integral Derivation of Black-Hole Radiancep. 189
Black Holes and Thermal Green Functionsp. 205
Action Integrals and Partition Functions in Quantum Gravityp. 233
Instability of Flat Space at Finite Temperaturep. 238
Thermal Stress Tensor in Static Einstein Spacesp. 264
Quantum Stress Tensor in Schwarzschild Space-Timep. 275
Quantum Cosmology
Cosmological Event Horizons, Thermodynamics and Particle Creationp. 281
Gravitational Effects on and of Vacuum Decayp. 295
Supercooled Phase Transitions in the Very Early Universep. 306
Wave Function of the Universep. 310
The Quantum State of the Universep. 326
Origin of Structure in the Universep. 346
Wormholes in Spacetimep. 363
Axion-Induced Topology Change in Quantum Gravity and String Theoryp. 370
Why There is Nothing Rather than Something: A Theory of the Cosmological Constantp. 388
Wormholes and the Cosmological Constantp. 414
Wormholes in Spacetime and the Constants of Naturep. 442
Wormholes in Spacetime and [actual symbol not reproducible]p. 488
Gravitational Instantons
Asymptotically Flat Self-Dual Solutions to Euclidean Gravityp. 497
Gravitational Multi-Instantonsp. 500
The Positive Action Conjecture and Asymptotically Euclidean Metrics in Quantum Gravityp. 503
Polygons and Gravitonsp. 527
The Construction of ALE Spaces as Hyper-Kahler Quotientsp. 539
A Compact Rotating Gravitational Instantonp. 558
Classification of Gravitational Instanton Symmetriesp. 562
Low Energy Scattering of Non-Abelian Monopolesp. 582
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9789810205164
ISBN-10: 9810205163
Audience: General
Format: Paperback
Language: English
Number Of Pages: 600
Published: 1993
Country of Publication: SG
Dimensions (cm): 24.41 x 16.99  x 3.1
Weight (kg): 0.94