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Motion of a Test Particle in the Schwarzschild Metric

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Gravity, a Geometrical Course
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Abstract

This chapter is devoted to the Schwarzschild metric. It is shown how geodesics of the Schwarzschild metric retrieve the whole building of Newtonian Physics plus corrections that can be very tiny in weak gravitational fields, like that of the Solar System, or gigantic in strong fields, where they lead to qualitatively new physics. The classical tests of General Relativity are hereby discussed, perihelion advance and the bending of light rays, in particular.

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References

  1. Schwarzschild, K.: Ãœber Das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie. Reimer, Berlin (1916), S. 189 ff. (Sitzungsberichte der Kniglich-Preussischen Akademie der Wissenschaften; 1916)

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© 2013 Springer Science+Business Media Dordrecht

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Frè, P.G. (2013). Motion of a Test Particle in the Schwarzschild Metric. In: Gravity, a Geometrical Course. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5361-7_4

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