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Geodesic Deviation and Curvature Tensor

  • Maurizio Gasperini
Part of the Undergraduate Lecture Notes in Physics book series (ULNP)

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.

Keywords

Scalar Curvature Covariant Derivative Gravitational Field Minkowski Space Ricci Tensor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Italia 2013

Authors and Affiliations

  • Maurizio Gasperini
    • 1
  1. 1.Department of PhysicsUniversity of BariBariItaly

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