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Spin connection. In differential geometry and mathematical physics, a spin connection is a connection on a spinor bundle. It is induced, in a canonical manner, from the affine connection. It can also be regarded as the gauge field generated by local Lorentz transformations. In some canonical formulations of general relativity, a spin connection ...
Free fall. In Newtonian physics, free fall is any motion of a body where gravity is the only force acting upon it. In the context of general relativity, where gravitation is reduced to a space-time curvature, a body in free fall has no force acting on it. An object in the technical sense of the term "free fall" may not necessarily be falling ...
The term was coined by Albert Einstein, who attempted to unify his general theory of relativity with electromagnetism. The " Theory of Everything " [3] and Grand Unified Theory [4] are closely related to unified field theory, but differ by not requiring the basis of nature to be fields, and often by attempting to explain physical constants of nature .
General relativity interprets gravity as a consequence of distortions in space-time, caused by mass. Therefore, Einstein also predicted that events in the cosmos would cause "ripples" in space-time – distortions of space-time itself – which would spread outward, although they would be so minuscule that they would be nearly impossible to detect by any technology foreseen at that time. [13]
Overview. The Kerr metric is a generalization to a rotating body of the Schwarzschild metric, discovered by Karl Schwarzschild in 1915, which described the geometry of spacetime around an uncharged, spherically symmetric, and non-rotating body. The corresponding solution for a charged, spherical, non-rotating body, the Reissner–Nordström ...
Tevian Dray (The Geometry of General Relativity) E. Luther P. Eisenhart (semi-Riemannian geometries) Frank B. Estabrook (Wahlquist-Estabrook approach to solving PDEs; see also parent list) Leonhard Euler (Euler-Lagrange equation, from which the geodesic equation is obtained) G
Ehrenfest paradox. The Ehrenfest paradox concerns the rotation of a "rigid" disc in the theory of relativity . In its original 1909 formulation as presented by Paul Ehrenfest in relation to the concept of Born rigidity within special relativity, [1] it discusses an ideally rigid cylinder that is made to rotate about its axis of symmetry. [2]
