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Titlebook: Ray Optics, Fermat’s Principle, and Applications to General Relativity; Volker Perlick Book 2000 Springer-Verlag Berlin Heidelberg 2000 EF

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Light propagation in other kinds of mediat cover all sorts of media with relevance to physics. Modifications of the following kind are possible. First, we could replace ansatz (2.12) with more complicated relations between field strengths and excitations. Second, we could introduce a current, i.e., a source term in the second Maxwell equat
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Introduction to Part IIian formalism for ray optics in the cotangent bundle over .. In Chap. 6 we assume that, in addition, a Lorentzian metric is given on .. Specialized to the case dim. can then be interpreted as a spacetime in the sense of general relativity and our formalism covers ray optics in arbitrary media on suc
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Ray-optical structures on Lorentzian manifoldsic . given on .. This metric is to be interpreted as a spacetime metric in the sense of general relativity, although for the mathematical formalism it will not be necessary to specialize to the case dim.. We shall assume, however, that dim. > 2 to exclude some pathologies.
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Book 2000assumed to have some basic knowledge of general relativity and some familiarity with differential geometry. Some of the results are published here for the first time, e.g. a general-relativistic version of Fermat‘s principle for light rays in a medium that has to satisfy some regularity condition only.
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