Mathematics of General Relativity - Mathematical Techniques For Analysing Spacetimes - Regge Calculus

Regge Calculus

Main article: Regge calculus

Regge calculus is a formalism which chops up a Lorentzian manifold into discrete 'chunks' (four-dimensional simplicial blocks) and the block edge lengths are taken as the basic variables. A discrete version of the Einstein-Hilbert action is obtained by considering so-called deficit angles of these blocks, a zero deficit angle corresponding to no curvature. This novel idea finds application in approximation methods in numerical relativity and quantum gravity, the latter using a generalisation of Regge calculus.

Read more about this topic:  Mathematics Of General Relativity, Mathematical Techniques For Analysing Spacetimes

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