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null cone

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  • Cone (linear algebra) — In linear algebra, a (linear) cone is a subset of a vector space that is closed under multiplication by positive scalars. In other words, a subset C of a real vector space V is a cone if and only if λx belongs to C for any x in C and any positive …   Wikipedia

  • null infinity — noun In a closed space time, especially for an Einstein cylinder, null infinity for a given point is the limit of convergence of the light cone most distant from the given point. That is, it is the limit of a set of points that each have a time… …   Wiktionary

  • Light cone — in 2D space plus a time dimension. A light cone is the path that a flash of light, emanating from a single event (localized to a single point in space and a single moment in time) and traveling in all directions, would take through spacetime. If… …   Wikipedia

  • Convex cone — In linear algebra, a convex cone is a subset of a vector space over an ordered field that is closed under linear combinations with positive coefficients. A convex cone (light blue). Inside of it, the light red convex cone consists of all points… …   Wikipedia

  • Light cone coordinates — In relativity, light cone coordinates is a special coordinate system where two of the coordinates, x+ and x are null coordinates and all the other coordinates are spatial. Call them x perp.Assume we re working with a (d,1) Lorentzian… …   Wikipedia

  • Light cone gauge — In theoretical physics, light cone gauge is an approach to remove the ambiguities arising from a gauge symmetry. While the term refers to several situations, a null component of a field A is set to zero (or a simple function of other variables)… …   Wikipedia

  • Conformal geometry — In mathematics, conformal geometry is the study of the set of angle preserving (conformal) transformations on a space. In two real dimensions, conformal geometry is precisely the geometry of Riemann surfaces. In more than two dimensions,… …   Wikipedia

  • Ambient construction — In conformal geometry, the ambient construction refers to a construction of Charles Fefferman and Robin Graham [Fefferman, C. and Graham, R. Conformal invariants , in Élie Cartan et les Mathématiques d Aujourdui , Asterisque (1985), 95 116.] for… …   Wikipedia

  • Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − …   Wikipedia

  • Split-complex number — A portion of the split complex number plane showing subsets with modulus zero (red), one (blue), and minus one (green). In abstract algebra, the split complex numbers (or hyperbolic numbers) are a two dimensional commutative algebra over the real …   Wikipedia

  • Retarded position — Einstein s equations admit gravity wave like solutions. In the case of a moving point like mass and in the linearized limit of a weak gravity approximation these solutions of the Einstein equations are known as the Lienard Wiechert gravitational… …   Wikipedia

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