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Gravitational lensing and rotation curve


Bräunlich, Gerhard; Scharf, Günter (2011). Gravitational lensing and rotation curve. General Relativity and Gravitation, 43(1):143-154.

Abstract

Based on the geodesic equation in a static spherically symmetric metric we discuss the rotation curve and gravitational lensing. The rotation curve determines one function in the metric without assuming Einstein's equations. Then lensing is considered in the weak field approximation of general relativity. From the null geodesics we derive the lensing equation. The gravitational potential U(r) which determines the lensing is directly give by the rotation curve U(r)=−v 2(r). This allows to test general relativity on the scale of galaxies where dark matter is relevant

Abstract

Based on the geodesic equation in a static spherically symmetric metric we discuss the rotation curve and gravitational lensing. The rotation curve determines one function in the metric without assuming Einstein's equations. Then lensing is considered in the weak field approximation of general relativity. From the null geodesics we derive the lensing equation. The gravitational potential U(r) which determines the lensing is directly give by the rotation curve U(r)=−v 2(r). This allows to test general relativity on the scale of galaxies where dark matter is relevant

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:National licences > 142-005
Dewey Decimal Classification:530 Physics
Language:English
Date:1 January 2011
Deposited On:23 Nov 2018 15:57
Last Modified:24 Sep 2019 23:44
Publisher:Springer
ISSN:0001-7701
OA Status:Green
Publisher DOI:https://doi.org/10.1007/s10714-010-1077-2
Related URLs:https://www.swissbib.ch/Search/Results?lookfor=nationallicencespringer101007s1071401010772 (Library Catalogue)

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