Abstract
The principle of minimal coupling is applied to the free motion of test particles and to the propagation of waves (in the approximation of geometric optics). The coupling to the geometry is shown to reproduce Newton’s gravitational results in the non-relativistic limit of weak and static fields, but also to induce new interesting effects such as the dilatation of proper time intervals and the shift of proper frequencies.
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Gasperini, M. (2013). Test Bodies and Signals in a Riemann Space–Time. In: Theory of Gravitational Interactions. Undergraduate Lecture Notes in Physics. Springer, Milano. https://doi.org/10.1007/978-88-470-2691-9_5
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DOI: https://doi.org/10.1007/978-88-470-2691-9_5
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-2690-2
Online ISBN: 978-88-470-2691-9
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