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Extended I-Love relations for slowly rotating neutron stars

Gagnon-Bischoff, J., Green, S. R., Landry, P., & Ortiz, N. (2018). Extended I-Love relations for slowly rotating neutron stars. Physical Review D, 97: 064042. doi:10.1103/PhysRevD.97.064042.

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Creators:
Gagnon-Bischoff, Jérémie, Author
Green, Stephen R.1, Author
Landry, Philippe, Author
Ortiz, Néstor, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24008

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Free keywords: General Relativity and Quantum Cosmology, gr-qc, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE
Abstract: Observations of gravitational waves from inspiralling neutron star binaries---such as GW170817---can be used to constrain the nuclear equation of state by placing bounds on stellar tidal deformability. For slowly rotating neutron stars, the response to a weak quadrupolar tidal field is characterized by four internal-structure-dependent constants called Love numbers. The tidal Love numbers $K_2^\text{el}$ and $K_2^\text{mag}$ measure the tides raised by the gravitoelectric and gravitomagnetic components of the applied field, and the rotational-tidal Love numbers $\mathfrak{F}^\text{o}$ and $\mathfrak{K}^\text{o}$ measure those raised by couplings between the applied field and the neutron star spin. In this work we compute these four Love numbers for perfect fluid neutron stars with realistic equations of state. We discover (nearly) equation-of-state independent relations between the rotational-tidal Love numbers and the moment of inertia, thereby extending the scope of I-Love-Q universality. We find that similar relations hold among the tidal and rotational-tidal Love numbers, and we explicitly compute those involving $K_2^{\text{el}}$. These relations extend the applications of I-Love universality in gravitational-wave astronomy. As our findings differ from those reported in the literature, we derive general formulas for the rotational-tidal Love numbers in post-Newtonian theory and confirm numerically that they agree with our general-relativistic computations in the weak-field limit.

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Dates: 2017-11-1520172018
Publication Status: Published in print
Pages: 29 pages, 6 figures, 9 tables
Publishing info: -
Rev. Method: -
Identifiers: arXiv: 1711.05694
URI: http://arxiv.org/abs/1711.05694
DOI: 10.1103/PhysRevD.97.064042
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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: 97 Sequence Number: 064042 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111088197762258