Quantum Gravity, Quantum Cosmology and Lorentzian Geometries

  • Giampiero Esposito
  • Editors
  • Secod Corrected

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

Table of contents

About this book

Introduction

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.

Keywords

Cosmology Gravity Kosmologie Lorentzian Geometry Quantengravitation Quantum Cosmology Quantum Gravity

Authors and affiliations

  • Giampiero Esposito
    • 1
    • 2
    • 3
    • 4
    • 5
  1. 1.International Centre for Theoretical PhysicsTriesteItaly
  2. 2.Scuola Internazionale Superiore di Studi AvanzatiTriesteItaly
  3. 3.Instituto Nazionale di Fisica NucleareGruppo IV, Sezione di NapoliNapoliItaly
  4. 4.Dipartimento di Scienze FisicheNapoliItaly
  5. 5.Dipartimento di Fisica TeoricaUniversità degli Studi di SalernoBaronissiItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-47295-7
  • Copyright Information Springer Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-57521-4
  • Online ISBN 978-3-540-47295-7
  • Series Print ISSN 0940-7677
  • About this book