Conformal Methods in General Relativity

ISBN-13: 9781009291330 / Angielski / Miękka / 2023 / 622 str.

Juan A. Valiente (Queen Mary University of London) Kroon

Opis

This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.

Recenzje

'The work serves as an excellent reference on conformal methods for advanced students and researchers. … the text is written well, thoroughly researched, and self-contained.' A. Spero, Choice

Spis treści

List of symbols; Preface; 1. Introduction; Part I. Geometric Tools: 2. Differential geometry; 3. Spacetime spinors; 4. Space spinors; 5. Conformal geometry; Part II. General Relativity and Conformal Geometry: 6. Conformal extensions of exact solutions; 7. Asymptotic simplicity; 8. The conformal Einstein field equations; 9. Matter models; 10. Asymptotics; Part III. Methods of PDE Theory: 11. The conformal constraint equations; 12. Methods of the theory of hyperbolic differential equations; 13. Hyperbolic reductions; 14. Causality and the Cauchy problem in General Relativity; Part IV. Applications: 15. De Sitter-like spacetimes; 16. Minkowski-like spacetimes; 17. Anti-de Sitter-like spacetimes; 18. Characteristic problems for the conformal field equations; 19. Static solutions; 20. Spatial infinity; 21. Perspectives; References; Index.