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space-like hypersurface

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  • 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

  • Alcubierre drive — The Alcubierre metric, also known as the Alcubierre drive or Warp Drive, is a speculative mathematical model of a spacetime exhibiting features reminiscent of the fictional warp drive from Star Trek , which can travel Faster than light (although… …   Wikipedia

  • Feynman diagram — The Wick s expansion of the integrand gives (among others) the following termNarpsi(x)gamma^mupsi(x)arpsi(x )gamma^ upsi(x )underline{A mu(x)A u(x )};,whereunderline{A mu(x)A u(x )}=int{d^4pover(2pi)^4}{ig {mu u}over k^2+i0}e^{ k(x x )}is the… …   Wikipedia

  • Gauss-Codazzi equations (relativity) — The Gauss–Codazzi equations are the following collection of equations which relate the 4 dimensional Riemann tensor R {abcd}, Ricci tensor R {ab} and Ricci scalar R to their projection onto a 3 dimensional hypersurface embedded within 4… …   Wikipedia

  • Cauchy surface — A Cauchy surface is a plane in space time which is like an instant of time, giving the initial conditions on this plane detemines the future (and the past) uniquely.Named after Augustin Louis Cauchy, a precise definition is that it is a subset in …   Wikipedia

  • Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …   Wikipedia

  • De Broglie–Bohm theory — Quantum mechanics Uncertainty principle …   Wikipedia

  • Complete intersection — In mathematics, an algebraic variety V in projective space is a complete intersection if it can be defined by the vanishing of the number of homogeneous polynomials indicated by its codimension. That is, if the dimension of an algebraic variety V …   Wikipedia

  • Affine focal set — In mathematics, and especially affine differential geometry, the affine focal set of a smooth submanifold M embedded in a smooth manifold N is the caustic generated by the affine normal lines. It can be realised as the bifurcation set of a… …   Wikipedia

  • Deriving the Schwarzschild solution — The Schwarzschild solution is one of the simplest and most useful solutions of the Einstein field equations (see general relativity). It describes spacetime in the vicinity of a non rotating massive spherically symmetric object. It is worthwhile… …   Wikipedia

  • Born coordinates — / ) are time like curves with fixed R .In relativistic physics, the Born coordinate chart is a coordinate chart for (part of) Minkowski spacetime, the flat spacetime of special relativity. It is often used to analyze the physical experience of… …   Wikipedia

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