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• W2964221577 abstract "An integrated approach to Lie derivatives of spinors, spinor connections and the gravitational field is presented, in the context of a previously proposed, partly original formulation of a theory of Einstein-Cartan-Maxwell-Dirac fields based on “minimal geometric data”: the needed underlying structure is determined, via geometric constructions, from the unique assumption of a complex vector bundle $SM$ with 2-dimensional fibers, called a $2$-spinor bundle. Any further considered object is assumed to be a dynamical field; these include the gravitational field, which is jointly represented by a soldering form (the tetrad) relating the tangent space $M$ to the $2$-spinor bundle, and a connection of the latter (spinor connection). The Lie derivatives of objects of all considered types, with respect to a vector field ${scriptstyle X}colon Mrightarrow M$, turn out to be well-defined without making any special assumption about ${scriptstyle X}$, and fulfill natural mutual relations." @default.
• W2964221577 created "2019-07-30" @default.
• W2964221577 creator A5023593927 @default.
• W2964221577 date "2018-01-01" @default.
• W2964221577 modified "2023-09-25" @default.
• W2964221577 title "Two-spinor tetrad and Lie derivatives of Einstein-Cartan-Dirac fields" @default.
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• W2964221577 doi "https://doi.org/10.5817/am2018-4-205" @default.
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