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• W3100154446 abstract "We present a new formulation of Einstein's equations for an axisymmetric spacetime with vanishing twist in vacuum. We propose a fully constrained scheme and use spherical polar coordinates. A general problem for this choice is the occurrence of coordinate singularities on the axis of symmetry and at the origin. Spherical harmonics are manifestly regular on the axis and hence take care of that issue automatically. In addition a spectral approach has computational advantages when the equations are implemented. Therefore we spectrally decompose all the variables in the appropriate harmonics. A central point in the formulation is the gauge choice. One of our results is that the commonly used maximal- isothermal gauge turns out to be incompatible with tensor harmonic expansions, and we introduce a new gauge that is better suited. We also address the regularisation of the coordinate singularity at the origin." @default.
• W3100154446 created "2020-11-23" @default.
• W3100154446 creator A5079983923 @default.
• W3100154446 creator A5084760208 @default.
• W3100154446 date "2015-04-28" @default.
• W3100154446 modified "2023-10-16" @default.
• W3100154446 title "Spectral approach to axisymmetric evolution of Einstein's equations" @default.
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• W3100154446 doi "https://doi.org/10.1088/1742-6596/600/1/012060" @default.
• W3100154446 hasPublicationYear "2015" @default.
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