Singularity theory and gravitational lensing : with 184 illustrations

Author(s)

    • Petters, Arlie O.
    • Levine, Harold
    • Wambsganss, Joachim

Bibliographic Information

Singularity theory and gravitational lensing : with 184 illustrations

Arlie O. Petters, Harold Levine, Joachim Wambsganss

(Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser, v. 21)

Birkhäuser, c2001

Available at  / 21 libraries

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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

by "Nielsen BookData"

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Details

  • NCID
    BA52677880
  • ISBN
    • 0817636684
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Boston
  • Pages/Volumes
    xxiv, 603 p.
  • Size
    25 cm
  • Parent Bibliography ID
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