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Numerical Relativity in 3+1 Dimensions
Bernd Bruegmann
Numerical relativity is finally approaching a state where the evolution of rather general (3+1)-dimensional data sets can be computed in order to solve the Einstein equations. Afte…
Symmetry without Symmetry: Numerical Simulation of Axisymmetric Systems using Cartesian Grids
M. Alcubierre, S. Brandt, B. Bruegmann +4
We present a new technique for the numerical simulation of axisymmetric systems. This technique avoids the coordinate singularities which often arise when cylindrical or polar-sphe…
Towards an understanding of the stability properties of the 3+1 evolution equations in general relativity
Miguel Alcubierre, Gabrielle Allen, Bernd Bruegmann +2
We study the stability properties of the standard ADM formulation of the 3+1 evolution equations of general relativity through linear perturbations of flat spacetime. We focus atte…
Gravitational Collapse of Gravitational Waves in 3D Numerical Relativity
Miguel Alcubierre, Gabrielle Allen, Bernd Bruegmann +4
We demonstrate that evolutions of three-dimensional, strongly non-linear gravitational waves can be followed in numerical relativity, hence allowing many interesting studies of bot…