Ray Optics, Fermat’s Principle, and Applications to General Relativity
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Beschreibung
This book is about the mathematical theory of light propagation in media on general-relativistic spacetimes. The first part discusses the transition from Maxwell's equations to ray optics. The second part establishes a general mathematical framework for treating ray optics as a theory in its own right, making extensive use of the Hamiltonian formalism. This part also includes a detailed discussion of variational principles (i.e., various versions of Fermat's principle) for light rays in general-relativistic media. Some applications, e.g. to gravitational lensing, are worked out. The reader is assumed 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.
There exists no text on relativistic ray optics in book form although the theory is heavily used in astrophysical models Includes supplementary material: sn.pub/extras
Autor*in
Volker Perlick
Themen in »Ray Optics, Fermat’s Principle, and Applications to General Relativity«
EFE Fermat's Principle Graviational Lensing Hamiltonian Dynamics Optics Ray Optics Redshift Formula Relativity Spacetime Geometry general relativity