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Gravitational lensing and rotation curve

Bräunlich, Gerhard ; Scharf, Günter

In: General Relativity and Gravitation, 2011, vol. 43, no. 1, p. 143-154

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    Title
    • Gravitational lensing and rotation curve
    Author
    • Bräunlich, Gerhard. Institut für Theoretische Physik, Universität Zürich, Winterthurerstr. 190, 8057, Zürich, Switzerland
    • Scharf, Günter. Institut für Theoretische Physik, Universität Zürich, Winterthurerstr. 190, 8057, Zürich, Switzerland
    Document Type
    • Postprint
    Language
    • English
    Published in
    • General Relativity and Gravitation, 2011, vol. 43, no. 1, p. 143-154. Springer US; http://www.springer-ny.com
    Other Version
    OAI-PMH Identifier
    • oai:doc.rero.ch:319966
    Summary
    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