Abstract
The crucial link between gravity and space–time curvature is introduced through an explicit derivation of the equation of geodesic deviation. The main properties of the Riemann curvature tensor are presented, and illustrated by a simple application to the case of maximally symmetric manifolds of arbitrary dimensions.
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Notes
- 1.
See for instance [14].
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Gasperini, M. (2013). Geodesic Deviation and Curvature Tensor. In: Theory of Gravitational Interactions. Undergraduate Lecture Notes in Physics. Springer, Milano. https://doi.org/10.1007/978-88-470-2691-9_6
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DOI: https://doi.org/10.1007/978-88-470-2691-9_6
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-2690-2
Online ISBN: 978-88-470-2691-9
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