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BSSN equations in spherical coordinates without regularization. (English) Zbl 1308.83020
García-Parrado, Alfonso (ed.) et al., Progress in mathematical relativity, gravitation and cosmology. Proceedings of the Spanish relativity meeting ERE2012, University of Minho, Guimarães, Portugal, September 3–7, 2012. Berlin: Springer (ISBN 978-3-642-40156-5/hbk; 978-3-642-40157-2/ebook). Springer Proceedings in Mathematics & Statistics 60, 205-209 (2014).
Summary: Brown introduced a covariant formulation of the BSSN equations well suited for curvilinear coordinate systems. We solve the BSSN equations in spherical symmetry and the general relativistic hydrodynamic equations written in flux-conservative form using a second-order partially implicit Runge-Kutta method to integrate the evolution equations without any regularization algorithm. Some tests assess the accuracy, numerical stability and expected convergence of the code.
For the entire collection see [Zbl 1278.83001].
MSC:
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
83-08 Computational methods for problems pertaining to relativity and gravitational theory
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