Deviation equation in Riemann-Cartan spacetime
Dirk Puetzfeld, Yuri N. Obukhov
TL;DR
This paper derives a generalized deviation equation in Riemann-Cartan spacetime, applicable to various gravitational theories beyond general relativity, describing how connecting vectors evolve between nearby world lines.
Contribution
It introduces a new deviation equation in Riemann-Cartan spacetime, extending the framework for analyzing gravitational effects in alternative theories.
Findings
Derived a generalized deviation equation for Riemann-Cartan spacetime
Applicable to a broad class of gravitational theories beyond GR
Provides a tool for analyzing gravitational effects in alternative models
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.
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