geodesic path

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• Geodesic manifold — In mathematics, a geodesic manifold (or geodesically complete manifold) is a surface on which any two points can be joined by a shortest path, called a geodesic.DefinitionLet (M, g) be a (connected) (pseudo ) Riemannian manifold, and let gamma :… …   Wikipedia

• Geodesic — [ great circle arcs.] In mathematics, a geodesic IPA|/ˌdʒiəˈdɛsɪk, ˈdisɪk/ [jee uh des ik, dee sik] is a generalization of the notion of a straight line to curved spaces . In presence of a metric, geodesics are defined to be (locally) the… …   Wikipedia

• Geodesic (general relativity) — This article is about the use of geodesics in general relativity. For the general concept in geometry, see geodesic. General relativity Introduction Mathematical formulation Resources …   Wikipedia

• Solving the geodesic equations — is a procedure used in mathematics, particularly Riemannian geometry, and in physics, particularly in general relativity, that results in obtaining geodesics. Physically, these represent the paths of (usually ideal) particles with no proper… …   Wikipedia

• Critical Path (book) — Critical Path   1st edition …   Wikipedia

• Penrose-Hawking singularity theorems — The Penrose Hawking singularity theorems are a set of results in general relativity which attempt to answer the question of whether gravity is necessarily singular. These theorems answer this question affirmatively for matter satisfying… …   Wikipedia

• Torsion tensor — In differential geometry, the notion of torsion is a manner of characterizing a twist or screw of a moving frame around a curve. The torsion of a curve, as it appears in the Frenet Serret formulas, for instance, quantifies the twist of a curve… …   Wikipedia

• Comoving distance — Physical cosmology Universe · Big Bang …   Wikipedia

• Introduction to general relativity — General relativity (GR) is a theory of gravitation that was developed by Albert Einstein between 1907 and 1915. According to general relativity, the observed gravitational attraction between masses results from the warping of space and time by… …   Wikipedia

• Frame fields in general relativity — In general relativity, a frame field (also called a tetrad or vierbein) is a set of four orthonormal vector fields, one timelike and three spacelike, defined on a Lorentzian manifold that is physically interpreted as a model of spacetime. The… …   Wikipedia

• Proper acceleration — [Edwin F. Taylor John Archibald Wheeler (1966 1st ed. only) Spacetime Physics (W.H. Freeman, San Francisco) ISBN 0 7167 0336 X] is the physical acceleration experienced by an object. It equals the rate of change of proper velocity with respect to …   Wikipedia