Geodesic Deviation and Curvature Tensor

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


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.


Scalar Curvature Covariant Derivative Gravitational Field Minkowski Space Ricci Tensor 
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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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