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          Document History for Document ID 332998

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Document Version Version Comment Date Status
332998.0 [No comment] 28.04.2009 10:34 Released

ID: 332998.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
Light-propagation in arbitrary spacetimes and the gravitational lens approximation
Authors:Seitz, Stella; Schneider, Peter; Ehlers, Jürgen
Date of Publication (YYYY-MM-DD):1994
Title of Journal:Classical and Quantum Gravity
Journal Abbrev.:Class. Quant. Grav.
Volume:11
Issue / Number:9
Start Page:2345
End Page:2373
Review Status:not specified
Abstract / Description:We reformulate the transport equation which determines the size, shape and orientation of infinitesimal light beams in arbitrary spacetimes. The behaviour of such light beams near vertices and conjugate points is investigated, with special attention to the singular behaviour of the optical scalars. We then specialize the general transport equation to the case of an approximate metric of an inhomogeneous universe, which is a Friedmann metric `on average' with superposed isolated weak matter inhomogeneities. In a series of well defined approximations, the equations of gravitational lens theory are derived. Finally, we derive a relative optical focusing equation which describes the focusing of light beams relative to the case that the beam is unaffected by matter inhomogeneities in the universe, from which it follows immediately that no beam can be focused less than one which is unaffected by matter clumps, before it propagates through its first conjugate point.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
Identifiers:ISSN:0264-9381
DOI:10.1088/0264-9381/11/9/016
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