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New considerations on Hilbert action and Einstein equations in anisotropic spaces

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arxiv 0911.5034 v1 pith:M7SGIPCI submitted 2009-11-26 gr-qc

New considerations on Hilbert action and Einstein equations in anisotropic spaces

classification gr-qc
keywords spacesactioneinsteinequationsfindhilbertanalogueanisotropic
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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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  1. Reduction of the Finsler gravity vacuum equation and dynamics for the cosmological Landsberg spacetimes

    gr-qc 2026-06 unverdicted novelty 6.0

    Finsler gravity vacuum equation reduces to vanishing Finsler Ricci curvature when some power F^n is regular with non-degenerate metric on light cones and Landsberg term vanishes, enabling solutions for homogeneous iso...