03777nam 22008055 450 991025743380332120250729100537.03-540-46662-210.1007/3-540-46662-2(CKB)1000000000778166(SSID)ssj0000326099(PQKBManifestationID)12090814(PQKBTitleCode)TC0000326099(PQKBWorkID)10264976(PQKB)11761051(DE-He213)978-3-540-46662-8(MiAaPQ)EBC3072207(PPN)15517164X(EXLCZ)99100000000077816620100715d2000 u| 0engurnn|008mamaatxtccrRay Optics, Fermat’s Principle, and Applications to General Relativity /by Volker Perlick1st ed. 2000.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2000.1 online resource (X, 222 p.) Lecture Notes in Physics Monographs ;61Bibliographic Level Mode of Issuance: Monograph3-642-08616-0 3-540-66898-5 Includes bibliographical references and index.From Maxwell’s equations to ray optics -- to Part I -- Light propagation in linear dielectric and permeable media -- Light propagation in other kinds of media -- A mathematical framework for ray optics -- to Part II -- Ray-optical structures on arbitrary manifolds -- Ray-optical structures on Lorentzian manifolds -- Variational principles for rays -- Applications.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.Lecture Notes in Physics Monographs ;61ElectrodynamicsMathematicsAstrophysicsGravitationMathematical physicsMagnetismClassical ElectrodynamicsApplications of MathematicsAstrophysicsClassical and Quantum GravityMathematical Methods in PhysicsMagnetismElectrodynamics.Mathematics.Astrophysics.Gravitation.Mathematical physics.Magnetism.Classical Electrodynamics.Applications of Mathematics.Astrophysics.Classical and Quantum Gravity.Mathematical Methods in Physics.Magnetism.523.0153Perlick Volkerauthttp://id.loc.gov/vocabulary/relators/aut62532MiAaPQMiAaPQMiAaPQBOOK9910257433803321Ray Optics, Fermat's Principle, and Applications to General Relativity374579UNINA