English

Aspects of Analyticity (Lectures held at Kazan Summer School)

General Relativity and Quantum Cosmology 2007-05-23 v1

Abstract

CONTENTS: 1 Introduction 2 Analytic Manifolds and Analytic Continuation of Metrics 3 Walker's Spacetimes and their Maximal Extension 4 Global Structure of de Sitter and Reissner-Nordstr\"om-de Sitter Cosmos 4.1 Special Cases 4.2 Collapsing Dust 5 Euclidean Metrics 6 Physical Interpretation of Euclidean Solutions, and a remark about the Gravitational Action 6.1 Thermal Interpretation 6.2 Tunneling Interpretation 7 The Multi-Black-Hole Solutions 7.1 Merging Black Holes 7.2 Continuing Beyond the Horizons 8 Naked Singularities? References

Keywords

Cite

@article{arxiv.gr-qc/9507019,
  title  = {Aspects of Analyticity (Lectures held at Kazan Summer School)},
  author = {Dieter R. Brill},
  journal= {arXiv preprint arXiv:gr-qc/9507019},
  year   = {2007}
}

Comments

33 pages, 18 figures written directly into the text in the LaTeX picture environment. Should be compiled "big."