Deviation equation in Riemann-Cartan spacetime

Abstract

We derive a generalized deviation equation in Riemann-Cartan spacetime. The equation describes the dynamics of the connecting vector which links events on two general adjacent world lines. Our result is valid for any theory in a Riemann-Cartan background, in particular, it is applicable to a large class of gravitational theories which go beyond the general relativistic framework.

9 pages, 1 figure

References in corpus (5)

• Einstein-Cartan Theory
• Geodesic deviation at higher orders via covariant bitensors
• Equations of motion in metric-affine gravity: A covariant unified framework
• On the generalized Jacobi equation
• Deviation equations in spaces with a transport along paths

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• Normal coordinates based on curved tangent space
• Gravitational Plane Waves in a Non-Riemannian Description of Brans-Dicke Gravity