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The moment of inertia and tidal deformability of idealized stars with polytropic equations of state (EOSs) are numerically calculated under both Newtonian gravity and general relativity (GR). The results explicitly confirm that the relation…

General Relativity and Quantum Cosmology · Physics 2025-01-14 Rui Xu , Alejandro Torres-Orjuela , Lars Andersson , Pau Amaro Seoane

We show that there is a direct relation between upper limits on (or potential future measurements of) the m = 2 quadrupole moments of slowly rotating neutron stars and the l = m = 2 deformation of the star's surface, in full general…

Solar and Stellar Astrophysics · Physics 2014-04-29 Nathan K. Johnson-McDaniel

Most observed neutron stars have masses around 1.4 $M_\odot$, consistent with current formation mechanisms. To date, no sub-solar mass neutron star has been observed. Observing a low-mass neutron star would be a significant milestone,…

High Energy Astrophysical Phenomena · Physics 2025-02-26 Keisi Kacanja , Alexander H. Nitz

Gravitational-wave observations of inspiralling binary neutron star systems can be used to measure the neutron-star equation of state (EOS) through the tidally induced shift in the waveform phase that depends on the tidal deformability…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Benjamin D. Lackey , Leslie Wade

Advanced ground-based gravitational-wave detectors are capable of measuring tidal influences in binary neutron-star systems. In this work, we report on the statistical uncertainties in measuring tidal deformability with a full Bayesian…

General Relativity and Quantum Cosmology · Physics 2014-05-28 Leslie Wade , Jolien D. E. Creighton , Evan Ochsner , Benjamin D. Lackey , Benjamin F. Farr , Tyson B. Littenberg , Vivien Raymond

After a short review of prominent properties of gravitational waves and the newly born gravitational astronomy, we focus on theoretical aspects. Analytic approximation methods in general relativity have played a crucial role in the recent…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Luc Blanchet

Previous theoretical works using the pre-merger orbital evolution of coalescing neutron stars to constrain properties of dense nuclear matter assume a gravitational wave phase uncertainty of a few radians, or about a half cycle. However,…

High Energy Astrophysical Phenomena · Physics 2023-08-04 Wynn C. G. Ho , Nils Andersson

Inspirals of neutron star-neutron star binaries are a promising source of gravitational waves for gravitational wave detectors like LIGO. During the inspiral, the tidal gravitational field of one of the stars can resonantly excite internal…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Prakash Balachandran , Eanna E. Flanagan

Neutron star (NS) equation of state (EoS) insensitive relations or universal relations (UR) involving neutron star bulk properties play a crucial role in gravitational-wave astronomy. Considering a wide range of equations of state…

High Energy Astrophysical Phenomena · Physics 2023-01-18 Bikram Keshari Pradhan , Aditya Vijaykumar , Debarati Chatterjee

Gravitational waves from neutron star-black hole (NSBH) mergers that undergo tidal disruption provide a potential avenue to study the equation of state of neutron stars and hence the behaviour of matter at its most extreme densities. We…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Teagan A. Clarke , Lani Chastain , Paul D. Lasky , Eric Thrane

Neutron stars are unique testbeds for exploring the physics of strongly interacting matter in extreme regimes of density, temperature, and isospin that are not accessible anywhere else in the universe. The nature of neutron star matter can…

Nuclear Theory · Physics 2019-12-04 Andreas Guerra Chaves , Tanja Hinderer

We discuss an astrometric timing effect on data analysis of continuous gravitational waves from rapidly rotating isolated neutron stars. Special attention is directed to the possibility of determining their distances by measuring the…

Astrophysics · Physics 2009-11-11 Naoki Seto

We present numerical relativity simulations of nine-orbit equal-mass binary neutron star covering the quasicircular late inspiral and merger. The extracted gravitational waveforms are analyzed for convergence and accuracy. Second order…

General Relativity and Quantum Cosmology · Physics 2012-05-23 Sebastiano Bernuzzi , Marcus Thierfelder , Bernd Bruegmann

The physical significance of tidal deformation in astronomical systems has long been known. The recently discovered universal I-Love-Q relations, which connect moment of inertia, quadrupole tidal Love number, and spin-induced quadrupole…

Solar and Stellar Astrophysics · Physics 2017-09-19 Kenny L. S. Yip , P. T. Leung

We study how to extract information on the neutron star equation of state from the gravitational wave signal emitted during the coalescence of a binary system composed of two neutron stars or a neutron star and a black hole. We use…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Andrea Maselli , Leonardo Gualtieri , Valeria Ferrari

We investigate the nonlinear tidal response of relativistic neutron stars by computing the fully relativistic, static, quadratic Love numbers. Using both the worldline effective field theory for extended gravitating bodies and second-order…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Paolo Pani , Massimiliano Maria Riva , Luca Santoni , Nikola Savić , Filippo Vernizzi

We present a novel universal relation for binary neutron star mergers with long-lived neutron star remnants: inspired by recent work based on numerical relativity simulations, we propose a novel approach using perturbative calculations that…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Praveen Manoharan , Christian J. Krüger , Kostas D. Kokkotas

The tidal properties of a neutron star are measurable in the gravitational waves emitted from inspiraling binary neutron stars, and they have been used to constrain the neutron star equation of state. In the same spirit, we study the…

High Energy Astrophysical Phenomena · Physics 2022-07-07 Kwing-Lam Leung , Ming-Chung Chu , Lap-Ming Lin

As two neutron stars merge, they emit gravitational waves that can potentially be detected by earth bound detectors. Matched-filtering based algorithms have traditionally been used to extract quiet signals embedded in noise. We introduce a…

High Energy Astrophysical Phenomena · Physics 2020-09-29 Marlin B. Schäfer , Frank Ohme , Alexander H. Nitz

The gravitational waves (GWs) emitted by neutron star binaries probe the physics of matter at supra nuclear densities. During the late inspiral, tidal deformations raised on each star by the gravitational field of its companion depend…

General Relativity and Quantum Cosmology · Physics 2024-09-19 Justin L. Ripley , Abhishek Hegade K. R. , Rohit S. Chandramouli , and Nicolas Yunes
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