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Similarity in the Arnowitt-Deser-Misner Mass from Brill and Teukolsky Initial Data Sets Beyond the Linear Approximation
R. F. Aranha, H. P. de Oliveira
The two most common initial data for vacuum axisymmetric spacetimes are the Brill and Teukolsky gravitational waves. The subsequent numerical evolution of these data exhibits disti…
Baumgarte-Shapiro-Shibata-Nakamura formalism in cylindrical coordinates: Brill and Teukolsky waves in both linear and nonlinear regimes
M. A. Alcoforado, R. F. Aranha, H. P. de Oliveira
In this article we present a numerical code, based on the collocation or pseudospectal method, which integrates the equations of the BSSN formalism in cylindrical coordinates. In o…
Multidomain Galerkin-Collocation method: spherical collapse of scalar fields II
M. A. Alcoforado, R. F. Aranha, W. O. Barreto +1
We follow the strategy initiated in Ref. [1] and proceed with the implementation of the Galerkin-Collocation domain decomposition (GCDD) applied to the dynamics of a spherical self…