Singularity theory and gravitational lensing : with 184 illustrations
Author(s)
Bibliographic Information
Singularity theory and gravitational lensing : with 184 illustrations
(Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser, v. 21)
Birkhäuser, c2001
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Note
Includes bibliographical references (p. [561]-588) and index
Description and Table of Contents
Description
This monograph is the first to develop a mathematical theory of gravitational lensing. The theory applies to any finite number of deflector planes and highlights the distinctions between single and multiple plane lensing. Introductory material in Parts I and II present historical highlights and the astrophysical aspects of the subject. Part III employs the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation.
Table of Contents
Foreword / D. Spergel * Preface * I. Introduction * 1. Historical Highlights * 2. The Central Problems * II. Astrophysical Aspects * 3. Basic Physical Concepts * 4. Physical Applications * 5. Observations of Gravitational Lensing * III. Mathematical Aspects * 6. Time Delay and Lensing Maps * 7. Critical Points and Stability * 8. Classification and Genericity of Stable Lens Systems * 9. Local Geometry of Caustics * 10. Morse Inequalities * 11. Counting Lensed Images: Single Plane Case * 12. Counting Lensed Images: Multiplane Case * 13. Magnification of Lensed Images * 14. Computing the Euler Characteristic * 15. Global Geometry of Caustics * Bibliography * Index of Notation * Index
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