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.
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The 1960's and early 1970's was a period of rapid development for the classical theory of general relativity. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
thermal gravitons, wormhole scale, conformally invariant scalar field, real null geodesics, minisuperspace model, conical infinity, thermal canonical ensemble, transverse vector harmonics, positive frequencies with respect, wormhole fluctuations, wormhole effects, perturbative gravity, zeta function technique, positive action conjecture, instanton interactions, conformal rotation, large instantons, dilute approximation, volume canonical ensemble, small instantons, asymptotically euclidean metrics, large wormholes, kowski space, euclidean path integral, euclidean functional integral Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, University of Cambridge, Taubian Infinity, Cambridge University Press, Santa Barbara, Silver Street, Department of Physics, Elsevier Science Publishers, Kerr-de Sitter, Nuclear Physics, University of California, North-Holland Physics Publishing Division, The American Physical Society, Wheeler-De Witt, Bottom of the Cliff, Euclidean Schwarzschild, Harvard University, Nuovo Cimento, Schwarzschild-de Sitter, California Institute of Technology, End of the Ridge, Les Houches, National Science Foundation, Sidney Coleman, Stanford University New!
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The 1960's and early 1970's was a period of rapid development for the classical theory of general relativity. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
thermal gravitons, wormhole scale, conformally invariant scalar field, real null geodesics, minisuperspace model, conical infinity, thermal canonical ensemble, transverse vector harmonics, positive frequencies with respect, wormhole fluctuations, wormhole effects, perturbative gravity, zeta function technique, positive action conjecture, instanton interactions, conformal rotation, large instantons, dilute approximation, volume canonical ensemble, small instantons, asymptotically euclidean metrics, large wormholes, kowski space, euclidean path integral, euclidean functional integral Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, University of Cambridge, Taubian Infinity, Cambridge University Press, Santa Barbara, Silver Street, Department of Physics, Elsevier Science Publishers, Kerr-de Sitter, Nuclear Physics, University of California, North-Holland Physics Publishing Division, The American Physical Society, Wheeler-De Witt, Bottom of the Cliff, Euclidean Schwarzschild, Harvard University, Nuovo Cimento, Schwarzschild-de Sitter, California Institute of Technology, End of the Ridge, Les Houches, National Science Foundation, Sidney Coleman, Stanford University New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
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This book cites 16
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- Quantum Mechanics and Path Integrals by Richard P. Feynman on 4 pages
- Dynamical Theory of Groups and Fields by B. Dewitt on page 274, and page 278
- General Relativity; an Einstein Centenary Survey by W. Israel on page 151, and page 274
- Relativistic Quantum Fields by James D. Bjorken on page 204
- The Large Scale Structure of Space-Time (Cambridge Monographs on Mathematical Physics) by Stephen W. Hawking on page 305
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- Perspectives in Riemannian Geometry (Crm Proceedings & Lecture Notes, V. 40) (Crm Proceedings and Lecture Notes) by Vestislav Apostolov (Editor) on page 224, page 225, and page 243
- Planck Scale Effects in Astrophysics and Cosmology (Lecture Notes in Physics) by Giovanni Amelino-Camelia on page 42, and page 56
- Stephen Hawking: A Biography (Greenwood Biographies) by Kristine M. Larsen on page 99
- Dirac Operators and Spectral Geometry (Cambridge Lecture Notes in Physics) by Giampiero Esposito in Back Matter
- Cosmological Crossroads by Spiros Cotsakis on page 93
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