Published August 20, 2025 | Version Published
Journal Article Open

Impact of Magnetic-field-driven Anisotropies on the Equation of State Probed in Neutron Star Mergers

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon Kent State University
  • 3. ROR icon University of Coimbra

Abstract

Binary neutron star mergers can produce extreme magnetic fields, some of which can lead to strong magnetar-like remnants. While strong magnetic fields have been shown to affect the dynamics of outflows and angular momentum transport in the remnant, they can also crucially alter the properties of nuclear matter probed in the merger. In this work, we provide a first assessment of the latter, determining the strength of the pressure anisotropy caused by Landau-level quantization and the anomalous magnetic moment. To this end, we perform the first numerical relativity simulation with a magnetic polarization tensor and a magnetic-field-dependent equation of state using a new algorithm we present here, which also incorporates a mean-field dynamo model to control the magnetic field strength present in the merger remnant. Our results show that—in the most optimistic case—corrections to the anisotropy can be in excess of 10% and are potentially largest in the outer layers of the remnant. This work paves the way for a systematic investigation of these effects.

Copyright and License

© 2025. The Author(s). Published by the American Astronomical Society. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

Acknowledgement

The authors are grateful for discussions with Constança Providência and Ira Wasserman. E.R.M. acknowledges support from NASA’s ATP program under grant 80NSSC24K1229 and by the National Science Foundation under grant No. PHY-2309210. The work of L.S. and H.P. was partially supported by national funds from FCT (Fundação para a Ciência e a Tecnologia, I.P, Portugal) under projects UIDB/04564/2020 and UIDP/04564/2020, with DOI identifiers 10.54499/UIDB/04564/2020 and 10.54499/UIDP/04564/2020, respectively, and project 2022.06460.PTDC with the associated DOI identifier 10.54499/2022.06460.PTDC. L.S. acknowledges the PhD grant 2021.08779.BD (FCT, Portugal). H.P. acknowledges the grant 2022.03966.CEECIND (FCT, Portugal) with DOI identifier 10.54499/2022.03966.CEECIND/CP1714/CT0004. V.D. acknowledges support from the Department of Energy under grant DE-SC0024700 and from the National Science Foundation under grants MUSES OAC-2103680 and NP3M PHY2116686. E.R.M. acknowledges the use of Delta at the National Center for Supercomputing Applications (NCSA) through allocation PHY210074 from the Advanced Cyberinfrastructure Coordination Ecosystem: Services & Support (ACCESS) program, which is supported by National Science Foundation grants #2138259, #2138286, #2138307, #2137603, and #2138296. Additional simulations were performed on the NSF Frontera supercomputer under grant AST21006. E.R.M. also acknowledges support through DOE NERSC supercomputer Perlmutter under grant m4575, which uses resources of the National Energy Research Scientific Computing Center, a DOE Office of Science User Facility supported by the Office of Science of the U.S. Department of Energy under contract No. DE-AC02-05CH11231 using NERSC award NP-ERCAP0028480.

Software References

EinsteinToolkit (F. Loffler et al. 2012), Frankfurt/IllinoisGRMHD (Z. B. Etienne et al. 2015; E. R. Most et al. 2019), FUKA (L. J. Papenfort et al. 2021), Kadath (P. Grandclement 2010), kuibit (G. Bozzola 2021), matplotlib (J. D. Hunter 2007), numpy (C. R. Harris et al. 2020), scipy (P. Virtanen et al. 2020).

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Additional details

Related works

Is new version of
Discussion Paper: arXiv:2506.21696 (arXiv)

Funding

National Aeronautics and Space Administration
80NSSC24K1229
National Science Foundation
PHY-2309210
Fundação para a Ciência e Tecnologia
UIDB/04564/2020
Fundação para a Ciência e Tecnologia
UIDP/04564/2020
Fundação para a Ciência e Tecnologia
2022.06460.PTDC
Fundação para a Ciência e Tecnologia
2021.08779.BD
Fundação para a Ciência e Tecnologia
2022.03966.CEECIND
United States Department of Energy
DE-SC0024700
National Science Foundation
OAC-2103680
National Science Foundation
PHY2116686
United States Department of Energy
DE-AC02-05CH11231
National Energy Research Scientific Computing Center
NP-ERCAP0028480

Dates

Submitted
2025-06-27
Accepted
2025-07-31
Available
2025-08-13
Published