Regge Calculus

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High Quality Content by WIKIPEDIA articles! In general relativity, Regge calculus is a formalism for producing simplicial approximations of spacetimes which are solutions to the Einstein field equation. The calculus was introduced by the Italian theoretician Tullio Regge in the early 1960s. The starting point for Regge's work is the fact that every Lorentzian manifold admits a triangulation into simplices. Furthermore, the spacetime curvature can be expressed in terms of deficit angles associated with 2-faces where arrangements of 4-simplices meet. These 2-faces play the same role as the vertices where arrangements of triangles meet in a triangulation of a 2-manifold, which is easier to visualize. Here a vertex with a positive angular deficit represents a concentration of positive Gaussian curvature, whereas a vertex with a negative angular deficit represents a concentration of negative Gaussian curvature.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131063671
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Genre Physik & Astronomie
    • EAN 9786131063671
    • Format Fachbuch
    • Titel Regge Calculus
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 128

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