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  Smooth equations of state for high-accuracy simulations of neutron star binaries

Foucart, F., Duez, M. D., Gudinas, A., Hebert, F., Kidder, L. E., Pfeiffer, H. P., et al. (2019). Smooth equations of state for high-accuracy simulations of neutron star binaries. Physical Review D, 100: 104048. doi:10.1103/PhysRevD.100.104048.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-5670-C Version Permalink: http://hdl.handle.net/21.11116/0000-0005-5674-8
Genre: Journal Article

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 Creators:
Foucart, Francois, Author
Duez, Matthew D., Author
Gudinas, Alana, Author
Hebert, Francois, Author
Kidder, Lawrence E., Author
Pfeiffer, Harald P.1, Author              
Scheel, Mark A., Author
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE
 Abstract: High-accuracy numerical simulations of merging neutron stars play an important role in testing and calibrating the waveform models used by gravitational wave observatories. Obtaining high-accuracy waveforms at a reasonable computational cost, however, remains a significant challenge. One issue is that high-order convergence of the solution requires the use of smooth evolution variables, while many of the equations of state used to model the neutron star matter have discontinuities, typically in the first derivative of the pressure. Spectral formulations of the equation of state have been proposed as a potential solution to this problem. Here, we report on the numerical implementation of spectral equations of state in the Spectral Einstein Code. We show that, in our code, spectral equations of state allow for high-accuracy simulations at a lower computational cost than commonly used `piecewise polytrope' equations state. We also demonstrate that not all spectral equations of state are equally useful: different choices for the low-density part of the equation of state can significantly impact the cost and accuracy of simulations. As a result, simulations of neutron star mergers present us with a trade-off between the cost of simulations and the physical realism of the chosen equation of state.

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 Dates: 2019-08-142019
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: arXiv: 1908.05277
DOI: 10.1103/PhysRevD.100.104048
URI: http://arxiv.org/abs/1908.05277
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 100 Sequence Number: 104048 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258