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Progress in Mathematical Relativity, Gravitation and Cosmology pp 205–209Cite as

BSSN Equations in Spherical Coordinates Without Regularization

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 60))

Abstract

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.

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Acknowledgements

I. C.-C. acknowledges support from Alexander von Humboldt Foundation and AYA2010-21097-C03-01 (Spanish MICINN). P.M. acknowledges support by the Deutsche Forschungsgesellschaft (DFG) through its SFB/TR 7 “Gravitational Wave Astronomy”.

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Authors and Affiliations

  1. Max-Planck Institute für Astrophysik, Karl-Schwarzschild-Str. 1, D-85748, Garching bei München, Germany

    Isabel Cordero-Carrión & Pedro J. Montero

Authors
  1. Isabel Cordero-Carrión
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  2. Pedro J. Montero
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Corresponding author

Correspondence to Isabel Cordero-Carrión .

Editor information

Editors and Affiliations

  1. Dept. of Mathematics, University of Minho, Braga, Portugal

    Alfonso García-Parrado

  2. Dept. of Mathematics, University of Minho, Braga, Portugal

    Filipe C. Mena

  3. Dept. of Mathematics, University of Minho, Braga, Portugal

    Filipe Moura

  4. Dept. of Mathematics, University of Minho, Braga, Portugal

    Estelita Vaz

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Cordero-Carrión, I., Montero, P.J. (2014). BSSN Equations in Spherical Coordinates Without Regularization. In: García-Parrado, A., Mena, F., Moura, F., Vaz, E. (eds) Progress in Mathematical Relativity, Gravitation and Cosmology. Springer Proceedings in Mathematics & Statistics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40157-2_25

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