the christoffel symbols
31Gauss–Codazzi equations — In Riemannian geometry, the Gauss–Codazzi–Mainardi equations are fundamental equations in the theory of embedded hypersurfaces in a Euclidean space, and more generally submanifolds of Riemannian manifolds. They also have applications for embedded …
32Speed of gravity — In the context of classical theories of gravitation, the speed of gravity refers to the speed at which a gravitational field propagates. This is the speed at which changes in the distribution of energy and momentum result in noticeable changes in …
33Einstein tensor — The Einstein tensor expresses spacetime curvature in the Einstein field equations for gravitation in the theory of general relativity. It is sometimes called the trace reversed Ricci tensor. Definition In physics and differential geometry, the… …
34Contorsion tensor — The contorsion tensor in differential geometry expresses the difference between a metric compatible affine connection with Christoffel symbol Γijk and the unique torsion free Levi Civita connection for the same metric. The contortion tensor is… …
35Harmonic coordinate condition — The harmonic coordinate condition is one of several coordinate conditions in general relativity, which make it possible to solve the Einstein field equations. A coordinate system is said to satisfy the harmonic coordinate condition if each of the …
36Newtonian motivations for general relativity — Some of the basic concepts of General Relativity can be outlined outside the relativistic domain. In particular, the idea that mass/energy generates curvature in space and that curvature affects the motion of masses can be illustrated in a… …
37Introduction to mathematics of general relativity — An understanding of calculus and differential equations is necessary for the understanding of nonrelativistic physics. In order to understand special relativity one also needs an understanding of tensor calculus. To understand the general theory… …
38Affine 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… …
39Fermi coordinates — In the mathematical theory of Riemannian geometry, Fermi coordinates are local coordinates that are adapted to a geodesic. More formally, suppose M is an n dimensional Riemannian manifold, gamma is a geodesic on M, and p is a point on gamma. Then …
40List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …
