dc.creator | Cook, William G | |
dc.creator | Figueras, Pau | |
dc.creator | Kunesch, Markus | |
dc.creator | Sperhake, Ulrich | |
dc.creator | Tunyasuvunakool, Saran | |
dc.date.accessioned | 2016-04-28 | |
dc.date.accessioned | 2018-11-24T23:18:52Z | |
dc.date.available | 2016-04-27T09:14:46Z | |
dc.date.available | 2018-11-24T23:18:52Z | |
dc.date.issued | 2016-06-01 | |
dc.identifier | https://www.repository.cam.ac.uk/handle/1810/255731 | |
dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3355 | |
dc.description.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. | |
dc.language | en | |
dc.publisher | World Scientific Publishing Company | |
dc.publisher | International Journal of Modern Physics D | |
dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
dc.rights | Attribution 4.0 International | |
dc.rights | Attribution 4.0 International | |
dc.rights | Attribution 4.0 International | |
dc.rights | Attribution 4.0 International | |
dc.subject | black holes | |
dc.subject | numerical relativity | |
dc.subject | higher dimensions | |
dc.title | Dimensional reduction in numerical relativity: Modified cartoon formalism and regularization | |
dc.type | Article | |