Singularities of the closed RWmetric in Regge Calculus: a generalized evolution of the 600-cell
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چکیده
An evolution scheme is developed, based on Sorkin algorithm, to evolve the most complex regular tridimensional polytope, the 600-cell. The solution of 600-cell, already studied before, is generalized by allowing a larger number of free variables. The singularities of Robertson–Walker (RW) metric are studied and a reason is given why the evolution of the 600-cell stops when its volume is still far from zero. A fit of 600-cell’s evolution with a continuos metric is studied by writing a metric generalizing Friedmann’s and including the 600-cell evolution too. The result is that the 600-cell meets a causalitybreaking point of space–time. We also shortly discuss the way matter is introduced in Regge calculus. PACS number(s): 04.20.-q, 04.25.Dm Submitted to Class. Quantum Grav. Date: 7 February 2008 † e-mail: [email protected] § e-mail: [email protected] 1 2 A De Felice and E Fabri
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تاریخ انتشار 2008