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- W2278103651 abstract "The inhomogeneous Zerilli equation is solved in time-domain numerically with the Chebyshev spectral collocation method to investigate a radial infall of the point particle towards a Schwarzschild black hole. Singular source terms due to the point particle appear in the equation in the form of the Dirac�-function and its derivative. The main objective of the current work is to show that the spectral collocation method yields an accurate approximation of head-on collisions of black holes even with singular source terms. For the approximation of singular source terms, we use the direct derivative projection method proposed in [9] without any regularization. The waveforms are evaluated with time and the gravitationalringdown is measured. We also compare the results of the spectral collocation method with those of the explicit second-order central-difference method. The numerical results show that the spectral collocation approximation with the direct projection method is accurate and stable for long time integration." @default.
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- W2278103651 date "2008-01-01" @default.
- W2278103651 modified "2023-09-26" @default.
- W2278103651 title "A spectral collocation approximation of one-dimensional head-on collisions of black-holes" @default.
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