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Progress of Theoretical Physics
Article . 1993 . Peer-reviewed
Data sources: Crossref
Progress of Theoretical Physics
Article . 1993 . Peer-reviewed
Data sources: Crossref
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Cosmological Gravitational Lens Equation

Its Validity and Limitation
Authors: M. Sasaki;

Cosmological Gravitational Lens Equation

Abstract

Based on the geometric optics in curved spacetime, we investigate the validity and limitation of the cosmological gravitational lens equation in detail. We first review the conventional derivation of the lens equation which relies on an intuitive construction of the lens geometry, and point out ambiguities in the resulting formula when applied to cosmological situations. We thep consider the geometric optics equations in curved spacetime, and derive the cosmological lens equation by inte­ grating the deviation equation for null geodesics under plausible assumptions. Finally, we remove these assumptions and formally integrate the deviation equation, to clarify the limitation on the use of the cosmological lens equation. Some implications of the results are also discussed.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
35
Top 10%
Top 10%
Average
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