New considerations on Hilbert action and Einstein equations in anisotropic spaces

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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12 pages

Scientific paper

We find the generalization of Einstein equations to Finsler spaces by
variational means and, based on the invariance of the Finslerian Hilbert action
to infinitesimal transformations, we find the analogue of the energy- momentum
conservation law in these spaces.

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