Topological Properties and Global Structure of Space-Time

1. Front Matter

   Pages i-viii

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2. Measurement of Gravity and Gauge Fields using Quantum Mechanical Probes

   • J. Anandan

   Pages 1-14

3. Gravitation at Spatial Infinity

   • Peter G. Bergmann

   Pages 15-20

4. Field Theories on Supermanifolds: General Formalism, Local Supersymmetry, and the Limit of Global Supersymmetry

   • Ugo Bruzzo

   Pages 21-29

5. Supergravities and Kaluza-Klein Theories

   • Yvonne Choquet-Bruhat

   Pages 31-48

6. Boundary Conditions at Spatial Infinity

   • Piotr Chruściel

   Pages 49-59

7. Singularities: Global and Local Aspects

   • C. J. S. Clarke

   Pages 61-71

8. Matter at the Horizon of the Schwarzschild Black Hole

   • Tevian Dray

   Pages 73-76

9. Impenetrability of the Schwarzschild Sphere in a Lorentz Non-Invariant Theory of Gravity

   • M. Gasperini, A. Tartaglia

   Pages 77-82

10. Introduction to String Theories

    • Gary T. Horowitz

    Pages 83-107

11. Conformal Quantisation in Singular Spacetimes

    • P. S. Joshi

    Pages 109-119

12. A Non-Local Approach to the Vacuum Maxwell, Yang-Mills, and Einstein Equations

    • C. N. Kozameh, E. T. Newman

    Pages 121-151

13. Cosmic Censorship and the Strengths of Singularities

    • Richard P. A. C. Newman

    Pages 153-168

14. Manifold and Supermanifold: Global Aspects of Supermanifold Theory

    • Jeffrey M. Rabin

    Pages 169-176

15. Solar-System Tests in Transition

    • Robert D. Reasenberg

    Pages 177-198

16. Integration and Global Aspects of Supermanifolds

    • Alice Rogers

    Pages 199-219

17. The Space-Time of the Bimetric General Relativity Theory

    • Nathan Rosen

    Pages 221-229

18. Gravitation Without Lorentz Invariance

    • V. De Sabbata, M. Gasperini

    Pages 231-244

19. A Uniform Static Magnetic Field in Kaluza-Klein Theory

    • E. L. Schucking

    Pages 245-248

20. Introduction to Topological Geons

    • Rafael D. Sorkin

    Pages 249-270

The Ninth Course of the International School of Cosmology and Gravita­ tion of the Ettore Majorana Centre for Scientific Culture is concerned with "Topological Properties and Global Structure of Space-Time." We consider this topic to possess great importance. Our choice has also been influenced by the fact that there are many quest ions as yet unre­ solved. Standard general relativity describes space-time as a four-dimensional pseudo-Riemannian manifold, but it does not prescribe its large-scale structure. Inorderto attempt answers to some topological questions, such as whether our universe is open or closed, whether it is orientable, and whether it is complete or possesses singularities, various theoretical approaches to global aspects of gravitational physics are presented here. As topological questions playa role in non-standard theories as weIl, it will be found that some of the lectures and seminar talks in this volume adopt the point of view of standard relativity, whereas others are based on different theories, such as Kaluza-Klein theories, bimetric theories, and supergravity. We have found it difficult to organize these papers into classes, say standard and non-standard theory, or models with and without singularities. One paper, by R. Reasenberg, is experimental. Its purpose was to give the theorists present an inkling of the opportunities, as weIl as the pitfalls, of experimental research in gravitational physics. Accordingly, we have arranged all contributions alphabetically, by ~first-named) author.

• cosmology
• gravitation
• gravity
• universe

• Syracuse University, Syracuse, USA

  Peter G. Bergmann

• New York University, New York, USA

  Peter G. Bergmann

• University of Bologna, Bologna, Italy

  Venzo Sabbata

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