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Constraining neutron star tidal Love numbers with gravitational wave detectors

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abstract

Ground-based gravitational wave detectors may be able to constrain the nuclear equation of state using the early, low frequency portion of the signal of detected neutron star - neutron star inspirals. In this early adiabatic regime, the influence of a neutron star's internal structure on the phase of the waveform depends only on a single parameter lambda of the star related to its tidal Love number, namely the ratio of the induced quadrupole moment to the perturbing tidal gravitational field. We analyze the information obtainable from gravitational wave frequencies smaller than a cutoff frequency of 400 Hz, where corrections to the internal-structure signal are less than 10 percent. For an inspiral of two non-spinning 1.4 solar mass neutron stars at a distance of 50 Mpc, LIGO II detectors will be able to constrain lambda to lambda < 2.0 10^{37} g cm^2 s^2 with 90% confidence. Fully relativistic stellar models show that the corresponding constraint on radius R for 1.4 solar mass neutron stars would be R < 13.6 km (15.3 km) for a n=0.5 (n=1.0) polytrope.

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representative citing papers

Wave-optics gravitational wave lensing in modified gravity

gr-qc · 2026-05-20 · unverdicted · novelty 8.0

In a curvature-coupled propagation framework for modified gravity, gravitational-wave lensing in wave optics shows persistent infrared interactions that prevent the amplification factor from approaching unity at zero frequency, requiring an interacting Green function and partial-wave treatment.

Axial tidal Love numbers of black holes in matter environments

gr-qc · 2026-05-04 · unverdicted · novelty 7.0

Axial tidal Love numbers for black holes in anisotropic fluid environments are derived analytically and numerically, with non-compact support density profiles producing logarithmic terms that obstruct standard tidal matching due to the lack of a strictly vacuum exterior.

Tidal Love numbers for regular black holes

gr-qc · 2025-12-05 · unverdicted · novelty 6.0

Tidal Love numbers of regular black holes are generically nonzero, model-dependent, and can acquire logarithmic scale dependence at higher perturbative orders.

Universal Relations with Dynamical Tides

gr-qc · 2025-11-24 · unverdicted · novelty 6.0

New quasi-universal relations connect static tidal deformability Λ⁰ to its dynamical correction Λ² and to Mω* with equation-of-state scatter below 5% and 2.8% respectively across 59 models.

Tidal Response and Thermodynamics of Black Holes

hep-th · 2026-04-29 · unverdicted · novelty 6.0

A new gauge-invariant effective action computes black hole Love numbers without Regge-Wheeler methods, and these numbers determine leading thermodynamic corrections under external perturbations.

Properties of Stable Massive Quark Stars in Holography

hep-ph · 2025-12-02 · unverdicted · novelty 5.0

Holographic model of massive deconfined quarks yields a stiff enough equation of state to allow stable 2-solar-mass hybrid stars with quark cores for certain nuclear phases.

Impact of Anisotropy on Neutron Star Structure and Curvature

gr-qc · 2025-12-30 · unverdicted · novelty 4.0

Moderate positive pressure anisotropy raises neutron star maximum mass to about 2.4 solar masses and compactness by up to 20 percent, with curvature scalars tied to matter showing strong sensitivity while the Weyl scalar stays largely insensitive.

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