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arXiv · 1511.08465

Generalized deviation equation and determination of the curvature in General Relativity

Dirk Puetzfeld·Yuri N. Obukhov
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Abstract

We derive a generalized deviation equation -- analogous to the well-known geodesic deviation equation -- for test bodies in General Relativity. Our result encompasses and generalizes previous extensions of the standard geodesic deviation equation. We show how the standard as well as a generalized deviation equation can be used to measure the curvature of spacetime by means of a set of test bodies. In particular, we provide exact solutions for the curvature by using the standard deviation equation as well as its next order generalization.

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Dirk Puetzfeld, Yuri N. Obukhov. 2016-02-29. Generalized deviation equation and determination of the curvature in General Relativity. https://doi.org/10.1103/physrevd.93.044073

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