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Quantum Gravity, Quantum Cosmology and Lorentzian Geometries

  • Book
  • © 1992

Overview

Authors:
  1. Giampiero Esposito

    1. International Centre for Theoretical Physics, Trieste, Italy
      Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy
      Gruppo IV, Sezione di Napoli, Istituto Nazionale di Fisica Nucleare, Napoli, Italy
      Dipartimento di Scienze Fisiche, Napoli, Italy

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Part of the book series: Lecture Notes in Physics Monographs (LNPMGR, volume 12)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XVI
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  2. Quantum Gravity

    1. Quantum Gravity, Quantum Cosmology and Classical Gravity

      • Giampiero Esposito
      Pages 1-24

    2. Canonical Quantum Gravity

      • Giampiero Esposito
      Pages 25-51

    3. Perturbative Quantum Gravity

      • Giampiero Esposito
      Pages 52-75

  4. Classical Gravity

    1. Lorentzian Geometry, U 4 Theories and Singularities in Cosmology

      • Giampiero Esposito
      Pages 226-280

  5. Summary

    1. Conclusions

      • Giampiero Esposito
      Pages 281-287

  6. Back Matter

    Pages 288-326
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Keywords

About this book

This book is aimed at theoretical and mathematical physicists and mathematicians interested in modern gravitational physics. I have thus tried to use language familiar to readers working on classical and quantum gravity, paying attention both to difficult calculations and to existence theorems, and discussing in detail the current literature. The first aim of the book is to describe recent work on the problern of boundary conditions in one-loop quantum cosmology. The motivation of this research was to under­ stand whether supersymmetric theories are one-loop finite in the presence of boundaries, with application to the boundary-value problems occurring in quantum cosmology. Indeed, higher-loop calculations in the absence of boundaries are already available in the litera­ ture, showing that supergravity is not finite. I believe, however, that one-loop calculations in the presence of boundaries are more fundamental, in that they provide a more direct check of the inconsistency of Supersymmetrie quantum cosmology from the perturbative point of view. It therefore appears that higher-order calculations are not strictly needed, if the one-loop test already yields negative results. Even though the question is not yet settled, this research has led to many interesting, new applications of areas of theoretical and mathematical physics such as twistor theory in flat space, self-adjointness theory, the generalized lliemann zeta-function, and the theory of boundary counterterms in super­ gravity.

Authors and Affiliations

  • International Centre for Theoretical Physics, Trieste, Italy

    Giampiero Esposito

  • Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy

    Giampiero Esposito

  • Gruppo IV, Sezione di Napoli, Istituto Nazionale di Fisica Nucleare, Napoli, Italy

    Giampiero Esposito

  • Dipartimento di Scienze Fisiche, Napoli, Italy

    Giampiero Esposito

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