Abstract
We present a computational framework (Rio) in the ADM 3+1 approach for numerical relativity. This work enables us to carry out high resolution calculations for initial data of two arbitrary black holes. We use the transverse conformal treatment, the Bowen–York and the puncture methods. For the numerical solution of the Hamiltonian constraint we use the domain decomposition and the spectral decomposition of Galerkin–Collocation. The nonlinear numerical code solves the set of equations for the spectral modes using the standard Newton–Raphson method, LU decomposition and Gaussian quadratures. We show the convergence of the Rio code. This code allows for easy deployment of large calculations. We show how the spin of one of the black holes is manifest in the conformal factor.
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Acknowledgements
The authors acknowledge the financial support of the Brazilian agencies Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq). H. P. O. thanks Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ) for support within the Grant No. E-26/202.998/518 2016 Bolsas de Bancada de Projetos (BBP).
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Barreto, W., Clemente, P.C.M., de Oliveira, H.P. et al. RIO: a new computational framework for accurate initial data of binary black holes. Gen Relativ Gravit 50, 71 (2018). https://doi.org/10.1007/s10714-018-2393-1
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DOI: https://doi.org/10.1007/s10714-018-2393-1