Principles of Einstein-Finsler Gravity and Cosmology

Abstract

We analyze the foundations of Finsler gravity theories with metric compatible connections constructed on nonholonomic tangent bundles, or (pseudo) Riemannian manifolds. There are considered "minimal" modifications of Einstein gravity (including theories with violation of local Lorentz invariance) and shown how the general relativity theory and generalizations can be equivalently re--formulated in Finsler like variables. We focus on Finsler branes solutions and perspectives in modern cosmology.

Latex2e, [jpconf style], 4 pages. Prepared for the proceedings of the Spanish Relativity meeting (ERE2010), Granada, Spain, September 6-10, 2010

References in corpus (11)

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• Critical Remarks on Finsler Modifications of Gravity and Cosmology by Zhe Chang and Xin Li
• Birefringence in pseudo-Finsler spacetimes
• On General Solutions for Field Equations in Einstein and Higher Dimension Gravity
• Ricci Flows and Solitonic pp--Waves
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Cited by in corpus (6)

• Cyclic and Ekpyrotic Universes in Modified Finsler Osculating Gravity on Tangent Lorentz Bundles
• On Relativistic Generalization of Perelman's W-entropy and Statistical Thermodynamic Description of Gravitational Fields
• Finslerian extension of an anisotropic strange star in the domain of modified gravity
• Anisotropic Conformal Dark Gravity on the Lorentz Tangent Bundle Spacetime
• Killing Symmetry on Finsler Manifold
• Super-Luminal Effects for Finsler Branes as a Way to Preserve the Paradigm of Relativity Theories