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- W2289765897 abstract "We present in detail the Einstein equations in the Baumgarte-Shapiro-Shibata-Nakamura formulation for the case of $D$ dimensional spacetimes with $SO(D-d)$ isometry based on a method originally introduced in Ref.1. Regularized expressions are given for a numerical implementation of this method on a vertex centered grid including the origin of the quasi-radial coordinate that covers the extra dimensions with rotational symmetry. Axisymmetry, corresponding to the value $d=D-2$, represents a special case with fewer constraints on the vanishing of tensor components and is conveniently implemented in a variation of the general method. The robustness of the scheme is demonstrated for the case of a black-hole head-on collision in $D=7$ spacetime dimensions with $SO(4)$ symmetry." @default.
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- W2289765897 date "2016-08-01" @default.
- W2289765897 modified "2023-09-26" @default.
- W2289765897 title "Dimensional reduction in numerical relativity: Modified Cartoon formalism and regularization" @default.
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- W2289765897 doi "https://doi.org/10.1142/s0218271816410133" @default.
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