covariant local system

  • 11Affine connection — An affine connection on the sphere rolls the affine tangent plane from one point to another. As it does so, the point of contact traces out a curve in the plane: the development. In the branch of mathematics called differential geometry, an… …

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  • 12Christoffel symbols — In mathematics and physics, the Christoffel symbols, named for Elwin Bruno Christoffel (1829–1900), are numerical arrays of real numbers that describe, in coordinates, the effects of parallel transport in curved surfaces and, more generally,… …

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  • 13Mass in general relativity — General relativity Introduction Mathematical formulation Resources Fundamental concepts …

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  • 14Special relativity — (SR) (also known as the special theory of relativity or STR) is the physical theory of measurement in inertial frames of reference proposed in 1905 by Albert Einstein (after considerable contributions of Hendrik Lorentz and Henri Poincaré) in the …

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  • 15Maxwell's equations in curved spacetime — Induced spacetime curvature In physics, Maxwell s equations in curved spacetime govern the dynamics of the electromagnetic field in curved spacetime (where the metric may not be the Minkowski metric) or where one uses an arbitrary (not… …

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  • 16De Broglie–Bohm theory — Quantum mechanics Uncertainty principle …

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  • 17Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… …

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  • 18Cartan connection — In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the …

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  • 19Self-creation cosmology — (SCC) theories are gravitational theories in which the mass of the universe is created out of its self contained gravitational and scalar fields, as opposed to the theory of continuous creation cosmology or the steady state theory which depend on …

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  • 20Einstein field equations — General relativity Introduction Mathematical formulation Resources Fundamental concepts …

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