New symbolic tools for differential geometry, gravitation, and field theory
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چکیده
منابع مشابه
Bulk Viscous Bianchi Type VI0 Cosmological Model in the Self-creation Theory of Gravitation and in the General Theory of Relativity
In the second self-creation theory of gravitation and in the general theory of relativity, Bianchi type VI0 cosmological model in the presence of viscous fluid is studied. An exact solution of the field equations is given by considering the cosmological model yields a constant decelerations parameter q=constant and the coefficients of the metric are taken as A(t)=[c1t+c<su...
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The topos theory is a theory which is used for deciding a number of problems of theory of relativity, gravitation and quantum physics. It is known that topos-theoretic geometry can be successfully developed within the framework of Synthetic Differential Geometry of Kock-Lawvere (SDG), the models of which are serving the toposes, i.e. categories possessing many characteristics of traditional The...
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It is shown that strings result naturally from considerations of gravitation. First, a Lorentz-covariant field formulation of gravitation in flat spacetime is developed. The requirement of covariance and the existence of a potential leads to an essentially unique theory based upon a symmetric, traceless, two-index tensor. The gravitational field possesses gauge invariance described by a second-...
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EYL [1] first try to unify gravitation and electromagnetism in single space-time geometry. He showed how one can introduce vector field in the Riemannian space time with an intrinsic geometric significance, but this theory was not accepted. Later Lyra’s [2] proposed a modification of Riemannian geometry by introducing a gauge function into the structureless manifold that bears close resemblance...
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A new gauge theory of gravitation on flat spacetime has recently been developed by Lasenby, Doran, and Gull in the language of Geometric Calculus. This paper provides a systematic account of the mathematical formalism to facilitate applications and extensions of the theory. It includes formulations of differential geometry, Lie derivatives and integrability theorems which are coordinate-free an...
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