Lorentzian curve

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• lorentzian — (ˌ)lōˈrentsēən, (ˌ)lȯˈ adjective Usage: usually capitalized L Etymology: H.A. Lorentz + English ian : of, relating to, or being a function that relates the intensity of radiation emitted by an atom at a given frequency to the peak radiation… …   Useful english dictionary

• Closed timelike curve — In mathematical physics, a closed timelike curve (CTC) is a worldline in a Lorentzian manifold, of a material particle in spacetime that is closed, returning to its starting point. This possibility was first raised by Kurt Gödel in 1949, who… …   Wikipedia

• Non-linear least squares — is the form of least squares analysis which is used to fit a set of m observations with a model that is non linear in n unknown parameters (m > n). It is used in some forms of non linear regression. The basis of the method is to… …   Wikipedia

• Causal structure — This article is about the possible causal relationships among points in a Lorentzian manifold. For classification of Lorentzian manifolds according to the types of causal structures they admit, see Causality conditions. In mathematical physics,… …   Wikipedia

• Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… …   Wikipedia

• Mathematics of general relativity — For a generally accessible and less technical introduction to the topic, see Introduction to mathematics of general relativity. General relativity Introduction Mathematical formulation Resources …   Wikipedia

• Degree of coherence — In optics, correlation functions are used to characterize the statistical and coherence properties of an electromagnetic field. The degree of coherence is the normalized correlation of electric fields. In its simplest form, termed g(1), it is… …   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

• Causality conditions — In the study of Lorentzian manifold spacetimes there exists a hierarchy of causality conditions which are important in proving mathematical theorems about the global structure of such manifolds. These conditions were collected during the late… …   Wikipedia

• Spacetime — For other uses of this term, see Spacetime (disambiguation). Two dimensional analogy of spacetime distortion. Matter changes the geometry of spacetime, this (curved) geometry being interpreted as gravity. White lines do not represent the… …   Wikipedia

• Anti de Sitter space — In mathematics and physics, n dimensional anti de Sitter space, sometimes written AdS n, is a maximally symmetric Lorentzian manifold with constant negative scalar curvature. It is the Lorentzian analog of n dimensional hyperbolic space, just as… …   Wikipedia