(Non)Commutative Finsler Geometry from String/M--theory

Abstract

We synthesize and extend the previous ideas about appearance of both noncommutative and Finsler geometry in string theory with nonvanishing B--field and/or anholonomic (super) frame structures \cite{vstring,vstr2,vnonc,vncf}. There are investigated the limits to the Einstein gravity and string generalizations containing locally anisotropic structures modeled by moving frames. The relation of anholonomic frames and nonlinear connection geometry to M--theory and possible noncommutative versions of locally anisotropic supergravity and D--brane physics is discussed. We construct and analyze new classes of exact solutions with noncommutative local anisotropy describing anholonomically deformed black holes (black ellipsoids) in string gravity, embedded Finsler--string two dimensional structures, solitonically moving black holes in extra dimensions and wormholes with noncommutativity and anisotropy induced from string theory.

79 pages, latex2e, version 3 without \tcilatex

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Cited by in corpus (10)

• The General Very Special Relativity in Finsler Cosmology
• Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation
• Pseudo-Finslerian spacetimes and multi-refringence
• Lorentz Invariance Violation from String Theory
• Nonholonomic Clifford Structures and Noncommutative Riemann--Finsler Geometry
• Stringy Space-Time Foam and High-Energy Cosmic Photons
• Aspects of General Relativity: Pseudo-Finsler extensions, Quasi-normal frequencies and Multiplication of tensorial distributions
• A Novel Foamy Origin for Singlet Fermion Masses
• Modelling Cosmic Springs with Finsler and Generalised Finsler Geometries
• On the Dirac Eigenvalues as Observables of the on-shell N=2 D=4 Euclidean Supergravity