Dedication

pp vii-viii

Contents

pp ix-xiv

Preface

pp xv-xvii

Acknowledgements

pp xviii-xix

Symbols

pp xx-xxx

1 - Introduction

pp 1-24

Part I - Geometric tools

pp 25-26

2 - Differential geometry

pp 27-63

3 - Spacetime spinors

pp 64-93

4 - Space spinors

pp 94-111

5 - Conformal geometry

pp 112-138

Part II - General relativity and conformal geometry

pp 139-140

6 - Conformal extensions of exact solutions

pp 141-177

7 - Asymptotic simplicity

pp 178-183

8 - The conformal Einstein field equations

pp 184-210

9 - Matter models

pp 211-221

10 - Asymptotics

pp 222-244

Part III - Methods of the theory of partial differential equations

pp 245-246

11 - The conformal constraint equations

pp 247-293

12 - Methods of the theory of hyperbolic differential equations

pp 294-330

13 - Hyperbolic reductions

pp 331-389

14 - Matter models

pp 390-404

Part IV - Applications

pp 405-406

15 - De Sitter-like spacetimes

pp 407-436

16 - Minkowski-like spacetimes

pp 437-453

17 - Anti-de Sitter-like spacetimes

pp 454-476

18 - Characteristic problems for the conformal field equations

pp 477-503

19 - Static solutions

pp 504-526

20 - Spatial infinity

pp 527-559