(non) Commutative Finsler Geometry from String/m–theory
نویسنده
چکیده
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 [42, 43, 48, 50]. 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. . Pacs 11.10.Nx, 11.25.Uv, 02.40.Bw MSC numbers: 83C65, 58B34, 58B20
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