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Tidal tensor — In Newton s theory of gravitation and in various relativistic classical theories of gravitation, such as general relativity, the tidal tensor represents # tidal accelerations of a cloud of (electrically neutral, nonspinning) test particles, #… … Wikipedia
Monochromatic electromagnetic plane wave — In general relativity, the monochromatic electromagnetic plane wave spacetime is the analog of the monochromatic plane waves known from Maxwell s theory. The precise definition of the solution is a bit complicated, but very instructive. Any exact … Wikipedia
Schwarzschild coordinates — In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres . In such a spacetime, a particularly important kind of coordinate chart is the Schwarzschild chart, a kind of polar spherical… … Wikipedia
Congruence (general relativity) — In general relativity, a congruence (more properly, a congruence of curves) is the set of integral curves of a (nowhere vanishing) vector field in a four dimensional Lorentzian manifold which is interpreted physically as a model of spacetime.… … Wikipedia
Petrov classification — In differential geometry and theoretical physics, the Petrov classification describes the possible algebraic symmetries of the Weyl tensor at each event in a Lorentzian manifold.It is most often applied in studying exact solutions of Einstein s… … Wikipedia
Gödel metric — The Gödel metric is an exact solution of the Einstein field equations in which the stress energy tensor contains two terms, the first representing the matter density of a homogeneous distribution of swirling dust particles, and the second… … Wikipedia
Curvature invariant (general relativity) — Curvature invariants in general relativity are a set of scalars called curvature invariants that arise in general relativity. They are formed from the Riemann, Weyl and Ricci tensors which represent curvature and possibly operations on them such… … Wikipedia
List of mathematics articles (E) — NOTOC E E₇ E (mathematical constant) E function E₈ lattice E₈ manifold E∞ operad E7½ E8 investigation tool Earley parser Early stopping Earnshaw s theorem Earth mover s distance East Journal on Approximations Eastern Arabic numerals Easton s… … Wikipedia
Bel decomposition — In semi Riemannian geometry, the Bel decomposition, taken with respect to a specific timelike congruence, is a way of breaking up the Riemann tensor of a pseudo Riemannian manifold into four pieces. It was introduced in 1959 by the physicist… … Wikipedia
Классификация Петрова — В дифференциальной геометрии и теоретической физике, классификация Петрова описывает возможные алгебраические симметрии тензора Вейля для каждого события на псевдоримановом многообразии. Эта классификация активней всего используется при изучении… … Википедия
