Journal
GENERAL RELATIVITY AND GRAVITATION
Volume 54, Issue 11, Pages -Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-022-03039-7
Keywords
Finsler gravitational action; Amplified Symmetry; Finsler spacetime; Energy-momentum conservation; Finsler connection
Funding
- Regional Government of Andalusia (Spain) [PY20-01391, UCO-1380930]
- ERDEF (UE)
- GNFM of INDAM
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We propose an action integral for Finsler gravity by pulling back an Einstein-Cartan-like Lagrangian from the tangent bundle to the base manifold. The vacuum equations, which are obtained by imposing stationarity with respect to any observer, are independent of the observer and well-defined. These equations imply that in vacuum, the metric is actually independent of the velocity variable, leading to a dynamics that coincides with that of general relativity.
We study an action integral for Finsler gravity obtained by pulling back an Einstein-Cartan-like Lagrangian from the tangent bundle to the base manifold. The vacuum equations are obtained imposing stationarity with respect to any section (observer) and are well posed as they are independent of the section. They imply that in vacuum the metric is actually independent of the velocity variable so the dynamics becomes coincident with that of general relativity.
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