(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.
Cite
@article{arxiv.hep-th/0211068,
title = {(Non)Commutative Finsler Geometry from String/M--theory},
author = {Sergiu I. Vacaru},
journal= {arXiv preprint arXiv:hep-th/0211068},
year = {2007}
}
Comments
79 pages, latex2e, version 3 without \tcilatex