New pseudospectral code for the construction of initial data

Alireza Rashti, Francesco Maria Fabbri, Bernd Brügmann, Swami Vivekanandji Chaurasia, Tim Dietrich, Maximiliano Ujevic, and Wolfgang Tichy
Phys. Rev. D 105, 104027 – Published 16 May 2022

Abstract

Numerical studies of the dynamics of gravitational systems, e.g., black hole-neutron star systems, require physical and constraint-satisfying initial data. In this article, we present the newly developed pseudospectral code elliptica, an infrastructure for construction of initial data for various binary and single gravitational systems of all kinds. The elliptic equations under consideration are solved on a single spatial hypersurface of the spacetime manifold. Using coordinate maps, the hypersurface is covered by patches whose boundaries can adapt to the surface of the compact objects. To solve elliptic equations with arbitrary boundary condition, elliptica deploys a Schur complement domain decomposition method with a direct solver. In this version, we use cubed sphere coordinate maps and the fields are expanded using Chebyshev polynomials of the first kind. Here, we explain the building blocks of elliptica and the initial data construction algorithm for a black hole-neutron star binary system. We perform convergence tests and evolve the data to validate our results. Within our framework, the neutron star can reach spin values close to breakup with arbitrary direction, while the black hole can have arbitrary spin with dimensionless spin magnitude 0.8.

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  • Received 4 October 2021
  • Revised 17 March 2022
  • Accepted 27 April 2022

DOI:https://doi.org/10.1103/PhysRevD.105.104027

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Alireza Rashti1, Francesco Maria Fabbri2, Bernd Brügmann2, Swami Vivekanandji Chaurasia3, Tim Dietrich4,5, Maximiliano Ujevic6, and Wolfgang Tichy1

  • 1Department of Physics, Florida Atlantic University, Boca Raton, Florida 33431, USA
  • 2Theoretical Physics Institute, University of Jena, 07743 Jena, Germany
  • 3The Oskar Klein Centre, Department of Astronomy, Stockholm University, AlbaNova, SE-10691 Stockholm, Sweden
  • 4Institut für Physik und Astronomie, Universität Potsdam, Haus 28, Karl-Liebknecht-Strasse 24/25, 14476 Potsdam, Germany
  • 5Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, Potsdam 14476, Germany
  • 6Centro de Ciências Naturais e Humanas, Universidade Federal do ABC, 09210-170 Santo André, São Paulo, Brazil

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Issue

Vol. 105, Iss. 10 — 15 May 2022

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