By Arlie O. Petters, Harold Levine, Joachim Wambsganss (auth.)
This monograph, specified within the literature, is the 1st to enhance a mathematical conception of gravitational lensing. the idea applies to any finite variety of deflector planes and highlights the differences among unmarried and a number of aircraft lensing.
Introductory fabric in components I and II current old highlights and the astrophysical features of the topic. one of the lensing themes mentioned are a number of quasars, tremendous luminous arcs, Einstein jewelry, the detection of darkish subject and planets with lensing, time delays and the age of the universe (Hubble’s constant), microlensing of stars and quasars.
The major a part of the book---Part III---employs the information and result of singularity conception to place gravitational lensing on a rigorous mathematical origin and remedy sure key lensing difficulties. effects are released the following for the 1st time.
Mathematical issues mentioned: Morse concept, Whitney singularity conception, Thom disaster thought, Mather balance concept, Arnold singularity conception, and the Euler attribute through projectivized rotation numbers. those instruments are utilized to the learn of reliable lens platforms, neighborhood and worldwide geometry of caustics, caustic metamorphoses, a number of lens pictures, lensed photo magnification, magnification move sections, and lensing by means of singular and nonsingular deflectors.
Examples, illustrations, bibliography and index make this an appropriate textual content for an undergraduate/graduate path, seminar, or self reliant those undertaking on gravitational lensing. The ebook is usually a very good reference textual content for pro mathematicians, mathematical physicists, astrophysicists, and physicists.
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