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alternate case: affine connection
Stress–energy–momentum pseudotensor
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}\left({\sqrt {-g}}g^{\nu \beta }\right)_{,\rho }\right]\end{aligned}}} Affine connection version: t L L μ ν + c 4 Λ g μ ν 8 π G = c 4 16 π G [ ( 2 Γ α β σBlack hole cosmology (698 words) [view diff] exact match in snippet view article find links to article
general relativity by removing a constraint of the symmetry of the affine connection and regarding its antisymmetric part, the torsion tensor, as a dynamicalAffine gauge theory (1,940 words) [view diff] exact match in snippet view article find links to article
(1). The affine tangent bundle A T X {\displaystyle ATX} admits an affine connection A {\displaystyle A} which is associated to a principal connectionTractor bundle (1,327 words) [view diff] exact match in snippet view article find links to article
X {\displaystyle {\mathcal {T}}/{\mathcal {X}}} . One recovers an affine connection in the projective class from a section X {\displaystyle X} of X {\displaystyleCoordinate conditions (1,166 words) [view diff] exact match in snippet view article find links to article
\gamma }\!.} Here, gamma is a Christoffel symbol (also known as the "affine connection"), and the "g" with superscripts is the inverse of the metric tensorWhite hole (3,266 words) [view diff] exact match in snippet view article find links to article
general relativity by removing a constraint of the symmetry of the affine connection and regarding its antisymmetric part, the torsion tensor, as a dynamicalRecurrent tensor (654 words) [view diff] exact match in snippet view article find links to article
called the resulting manifold ( M , g ) {\displaystyle (M,g)} with affine connection ∇ {\displaystyle \nabla } and recurrent metric g {\displaystyle g}Harley Flanders (1,584 words) [view diff] exact match in snippet view article find links to article
treatment of differential forms. According to Shiing-Shen Chern, "an affine connection on a differentiable manifold gives rise to covariant differentiationsAlbert Einstein (22,329 words) [view diff] exact match in snippet view article find links to article
incorporate spinning point particles into general relativity, the affine connection needed to be generalized to include an antisymmetric part, calledFlatness problem (4,222 words) [view diff] exact match in snippet view article find links to article
general relativity by removing a constraint of the symmetry of the affine connection and regarding its antisymmetric part, the torsion tensor, as a dynamicalInflation (cosmology) (12,792 words) [view diff] exact match in snippet view article
general relativity by removing a constraint of the symmetry of the affine connection and regarding its antisymmetric part, the torsion tensor, as a dynamicalBumblebee models (3,252 words) [view diff] exact match in snippet view article find links to article
however, that what appears to be a mass term involves the square of the affine connection Γ μ ν λ {\displaystyle \Gamma _{\,\,\mu \nu }^{\lambda }} . SinceKullback–Leibler divergence (11,532 words) [view diff] exact match in snippet view article find links to article
similar to the Hellinger metric (in the sense that it induces the same affine connection on a statistical manifold). Furthermore, the Jensen–Shannon divergenceAnthony Joseph Tromba (772 words) [view diff] exact match in snippet view article find links to article
J. Geometry and Physics, vol. 23, 1997, pp. 191–205 On a natural affine connection on the space of almost complex structures and the curvature of Teichmüller