A Practical Look at Regge Calculus
Regge calculus is the classical starting point for a bunch of different models of quantum gravity. Moreover, it is often considered a finite-element discretization of general relativity, providing so a potential practical scheme for numerical relativity. Despite these important roles, not many sample calculations have been studied. I will present one detailed example which, step-by-step, will show the power and the limits of this model. Many interesting aspects and open problems related to the Lorentzian structure of the discrete system will emerge.
KeywordsQuantum Gravity Compact Foliation Dimensional Minkowski Space Simplicial Manifold Initial Triangulation
DM acknowledges partial support from PRIN 2010-11 Geometrical and analytical theories of finite and infinite dimensional Hamiltonian systems.
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