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Quantum Gravity, Quantum Cosmology and Lorentzian Geometries

  • Book
  • © 1994

Overview

Authors:
  1. Giampiero Esposito

    1. International Centre for Theoretical Physics, Trieste, Italy
      Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy
      Instituto Nazionale di Fisica Nucleare, Gruppo IV, Sezione di Napoli, Napoli, Italy
      Dipartimento di Scienze Fisiche, Napoli, Italy
      Dipartimento di Fisica Teorica, Università degli Studi di Salerno, Baronissi, Italy

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Editors:
  1. Secod Corrected
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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-xviii
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  4. Classical Graviety

    1. Front Matter

      Pages 243-243
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    2. Lorentzian Geometry, U4 Theories and Singularities in Cosmology

      Pages 245-299

  5. Summary

    1. Front Matter

      Pages 301-301
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    2. Conclusions

      Pages 303-309

  6. Back Matter

    Pages 310-352
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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 problem 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 problemsoccurring 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 supersymmetric 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 Riemann zeta-function, and the theory of boundary counterterms in super­ gravity. I have also compared in detail my work with results by other authors, explaining, whenever possible, the origin of different results, the limits of my work and the unsolved problems.

Authors and Affiliations

  • International Centre for Theoretical Physics, Trieste, Italy

    Giampiero Esposito

  • Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy

    Giampiero Esposito

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

    Giampiero Esposito

  • Dipartimento di Scienze Fisiche, Napoli, Italy

    Giampiero Esposito

  • Dipartimento di Fisica Teorica, Università degli Studi di Salerno, Baronissi, Italy

    Giampiero Esposito

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