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Physics > Computational Physics

arXiv:0711.2545 (physics)
[Submitted on 16 Nov 2007 (v1), last revised 2 Jul 2009 (this version, v2)]

Title:A spectral collocation approximation for the radial-infall of a compact object into a Schwarzschild black hole

Authors:Jae-Hun Jung, Gaurav Khanna, Ian Nagle
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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 $\delta$-function and its derivative. For the approximation of singular source terms, we use the direct derivative projection method without any regularization. The gravitational waveforms are evaluated as a function of time. We 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 converges rapidly when compared with the finite-difference method.
Comments: Accepted for publication in International Journal of Modern Physics C (IJMPC)
Subjects: Computational Physics (physics.comp-ph); General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:0711.2545 [physics.comp-ph]
  (or arXiv:0711.2545v2 [physics.comp-ph] for this version)
  https://doi.org/10.48550/arXiv.0711.2545
Journal reference: Int.J.Mod.Phys.C20:1827-1848,2009
Related DOI: https://doi.org/10.1142/S012918310901476X

Submission history

From: Gaurav Khanna [view email]
[v1] Fri, 16 Nov 2007 02:40:48 UTC (920 KB)
[v2] Thu, 2 Jul 2009 22:30:54 UTC (606 KB)
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