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Spinors and Space-Time Anisotropy

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arxiv gr-qc/0112028 v3 pith:BHHM3LTW submitted 2001-12-12 gr-qc hep-thmath-phmath.DGmath.MP

classification gr-qchep-thmath-phmath.DGmath.MP
keywords spacesanisotropicgeometryspinoranisotropygravitysubjectsalgebra
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This is the first monograph on the geometry of anisotropic spinor spaces and its applications in modern physics. The main subjects are the theory of gravity and matter fields in spaces provided with off--diagonal metrics and associated anholonomic frames and nonlinear connection structures, the algebra and geometry of distinguished anisotropic Clifford and spinor spaces, their extension to spaces of higher order anisotropy and the geometry of gravity and gauge theories with anisotropic spinor variables. The book summarizes the authors' results and can be also considered as a pedagogical survey on the mentioned subjects.

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Cited by 1 Pith paper

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  1. Reissner-Nordstr\"om and Kerr-like solutions in Finsler-Randers Gravity

    gr-qc 2025-05 reject novelty 4.0 of 10

    In Finsler-Randers gravity, the Reissner-Nordström and Kerr metrics gain an extra vector field that changes massive particle orbits but leaves photon paths untouched, though the Kerr solution is incomplete.

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