Exact gravitational lensing and rotation curve

Details Exact gravitational lensing and rotation curve Exact gravitational lensing and rotation curve

2009-12-27

arxiv.org/abs/0912.5058v1

Gen.Rel.Grav.43:143-154,2011

Astronomy and Astrophysics

Astrophysics

Galaxy Astrophysics

12 pages, 1 figure

Scientific paper

10.1007/s10714-010-1077-2

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 and corrections to it.

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