Autoparallel deviation with torsion and non-metricity

Authors

  • Gedrich Jiann L. Dy ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Michael Francis Ian G. Vega II ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We study the effects of torsion and non-metricity on the deviation between nearby autoparallel curves in spacetime. We show that for any spacetime with torsion and non-metricity, autoparallel deviation is equal to the Riemann curvature tensor and a collection of torsion and non-metricity terms. We also show that the neighboring autoparallel curves for any spacetime, in general, will experience relative time delays, in contrast to the geodesic deviation in general relativity.

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Issue

Article ID

SPP-2023-2H-06

Section

Theoretical and Mathematical Physics

Published

2023-07-08

How to Cite

[1]
GJL Dy and MFIG Vega, Autoparallel deviation with torsion and non-metricity, Proceedings of the Samahang Pisika ng Pilipinas 41, SPP-2023-2H-06 (2023). URL: https://proceedings.spp-online.org/article/view/SPP-2023-2H-06.