A numerical study of the Regge Calculus and Smooth Lattice methods on a Kasner cosmology

Abstract

Two lattice based methods for numerical relativity, the Regge Calculus and the Smooth Lattice Relativity, will be compared with respect to accuracy and computational speed in a full 3+1 evolution of initial data representing a standard Kasner cosmology. It will be shown that both methods provide convergent approximations to the exact Kasner cosmology. It will also be shown that the Regge Calculus is of the order of 110 times slower than the Smooth Lattice method.

References in corpus (1)

• A Smooth Lattice construction of the Oppenheimer-Snyder spacetime

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• Evolutions of Gowdy, Brill and Teukolsky initial data on a smooth lattice
• On the discrete version of the Kerr geometry
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• Two dimensional axisymmetric smooth lattice Ricci flow