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- W2963227146 abstract "After a cursory introduction of the basic ideas behind Born's Reciprocal Relativity theory, the geometry of the cotangent bundle of spacetime is studied via the introduction of nonlinear connections associated with certain $nonholonomic$ modifications of Riemann--Cartan gravity within the context of Finsler geometry. A novel gauge theory of gravity in the $8D$ cotangent bundle $ T^*M$ of spacetime is explicitly constructed and based on the gauge group $ SO (6, 2) times_s R^8$ which acts on the tangent space to the cotangent bundle $ T_{ ( {bf x}, {bf p}) } T^*M $ at each point $ ({bf x}, {bf p})$. Several gravitational actions involving curvature and torsion tensors and associated with the geometry of curved phase spaces are presented. We conclude with a brief discussion of the field equations, the geometrization of matter, QFT in accelerated frames, {bf T}-duality, double field theory, and generalized geometry." @default.
- W2963227146 created "2019-07-30" @default.
- W2963227146 creator A5082970311 @default.
- W2963227146 date "2015-12-01" @default.
- W2963227146 modified "2023-09-25" @default.
- W2963227146 title "A Gauge Theory of Gravity in Curved Phase-Spaces" @default.
- W2963227146 hasPublicationYear "2015" @default.
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