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18 papers · 1 filter
Principles of Einstein-Finsler Gravity and Cosmology
Sergiu I. Vacaru
We analyze the foundations of Finsler gravity theories with metric compatible connections constructed on nonholonomic tangent bundles, or (pseudo) Riemannian manifolds. There are c…
A geometric setting for systems of ordinary differential equations
Ioan Bucataru, Oana Constantinescu, Matias F. Dahl
To a system of second order ordinary differential equations (SODE) one can assign a canonical nonlinear connection that describes the geometry of the system. In this work we develo…
Modified Dispersion Relations in Horava-Lifshitz Gravity and Finsler Brane Models
Sergiu I. Vacaru
We study possible links between quantum gravity phenomenology encoding Lorentz violations as nonlinear dispersions, the Einstein-Finsler gravity models, EFG, and nonholonomic (non-…
Observation of phonons with resonant inelastic x-ray scattering
H. Yavas, M. van Veenendaal, J. van den Brink +9
Phonons, the quantum mechanical representation of lattice vibrations, and their coupling to the electronic degrees of freedom are important for understanding thermal and electric p…
Fractional Analogous Models in Mechanics and Gravity Theories
Dumitru Baleanu, Sergiu I. Vacaru
We briefly review our recent results on the geometry of nonholonomic manifolds and Lagrange--Finsler spaces and fractional calculus with Caputo derivatives. Such constructions are…
Fractional Exact Solutions and Solitons in Gravity
Dumitru Baleanu, Sergiu I. Vacaru
We survay our recent results on fractional gravity theory. It is also provided the Main Theorem on encoding of geometric data (metrics and connections in gravity and geometric mech…