Aspects of Analyticity (Lectures held at Kazan Summer School)

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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

Scientific paper

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

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