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Aspects of Analyticity (Lectures held at Kazan Summer School)

Dieter R. Brill
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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-Nordström-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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Dieter R. Brill. 1995-07-07. Aspects of Analyticity (Lectures held at Kazan Summer School). https://arxiv.org/abs/gr-qc/9507019

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