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Related papers: Binary Neutron Stars in General Relativity: Quasi-…

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Solutions to equilibrium sequences of irrotational binary polytropic stars in Newtonian gravity are expanded in a power of $\epsilon=a_0/R$, where R and $a_0$ are the orbital separation of the binary system and the radius of each star for…

Astrophysics · Physics 2009-10-31 Keisuke Taniguchi , Takashi Nakamura

Models of neutron stars are considered in the case of a uniform density distribution. An algebraic equation, valid for any equation of state, is obtained. This equation allows one to find the approximate mass of a star of a given density…

High Energy Astrophysical Phenomena · Physics 2023-11-14 G. S. Bisnovatyi-Kogan , E. A. Patraman

We model two mergers of orbiting binary neutron stars, the first forming a black hole and the second a differentially rotating neutron star. We extract gravitational waveforms in the wave zone. Comparisons to a post-Newtonian analysis allow…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Matthew Anderson , Eric W. Hirschmann , Luis Lehner , Steven L. Liebling , Patrick M. Motl , David Neilsen , Carlos Palenzuela , Joel E. Tohline

Determining the differential-rotation law of compact stellar objects produced in binary neutron stars mergers or core-collapse supernovae is an old problem in relativistic astrophysics. Addressing this problem is important because it…

General Relativity and Quantum Cosmology · Physics 2017-08-16 Matthias Hanauske , Kentaro Takami , Luke Bovard , Luciano Rezzolla , José A. Font , Filippo Galeazzi , Horst Stöcker

Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thierry Mora , Clifford M. Will

Combining the GW observations of merging systems of binary neutron stars and quasi-universal relations, we set constraints on the maximum mass that can be attained by nonrotating stellar models of neutron stars. More specifically,…

High Energy Astrophysical Phenomena · Physics 2018-09-06 Luciano Rezzolla , Elias R. Most , Lukas R. Weih

We develop a method to compute low-eccentricity initial data of binary neutron stars required to perform realistic simulations in numerical relativity. The orbital eccentricity is controlled by adjusting the orbital angular velocity of a…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Koutarou Kyutoku , Masaru Shibata , Keisuke Taniguchi

We analyze the currently available observations of X-ray binaries in a consistent way, to re-determine the masses of the neutron stars in these systems. In particular, our attention is focussed on a realistic and consistent assessment of…

Astrophysics · Physics 2011-05-23 M. H. van Kerkwijk , J. van Paradijs , E. J. Zuiderwijk

In the last few decades, lots of universal relations between different global physical quantities of neutron stars have been proposed to constrain the unobservable or hard to be observed properties of neutron stars. But few of them are…

General Relativity and Quantum Cosmology · Physics 2020-08-10 Wenjie Sun , Dehua Wen , Jue Wang

We present our first successful numerical results of 3D general relativistic simulations in which the Einstein equation as well as the hydrodynamic equations are fully solved. This paper is especially devoted to simulations of test problems…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Masaru Shibata

We investigate how current and proposed observations of neutron stars can lead to an understanding of the state of their interiors and the key unknowns: the typical neutron star radius and the neutron star maximum mass. A theoretical…

Astrophysics · Physics 2008-11-26 James M. Lattimer , Maddapa Prakash

A binary neutron star merger produces a rapidly and differentially rotating compact remnant whose lifespan heavily affects the electromagnetic and gravitational emissions. Its stability depends on both the equation of state (EOS) and the…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Gabriele Bozzola , Nikolaos Stergioulas , Andreas Bauswein

We present results of numerical computations of quasiequilibrium sequences of binary neutron stars with zero vorticity, in the general relativistic framework. The Einstein equations are solved under the assumption of a conformally flat…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Bonazzola , E. Gourgoulhon , J. -A. Marck

General-relativistic equilibria of differentially rotating stars are expected in a number of astrophysical scenarios, from core-collapse supernovae to the remnant of binary neutron-star mergers. The latter, in particular, have been the…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Marie Cassing , Luciano Rezzolla

We study equilibrium sequences of close binary systems on circular orbits and composed of different mass stars with polytropic equation of state in Newtonian gravity. The solving method is a multidomain spectral method which we have…

Astrophysics · Physics 2009-11-07 Keisuke Taniguchi , Eric Gourgoulhon

Gravitational waves from binary neutron stars in quasiequilibrium circular orbits are computed using an approximate method which we propose in this paper. In the first step of this method, we prepare general relativistic irrotational binary…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Masaru Shibata , Koji Uryu

The merger of binary neutron stars is likely to lead to differentially rotating remnants. In this paper we numerically construct models of differentially rotating neutron stars in general relativity and determine their maximum allowed mass.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Nicholas D. Lyford , Thomas W. Baumgarte , Stuart L. Shapiro

A considerable effort has been dedicated recently to the construction of generic equations of state (EOSs) for matter in neutron stars. The advantage of these approaches is that they can provide model-independent information on the interior…

General Relativity and Quantum Cosmology · Physics 2023-07-10 Carlo Musolino , Christian Ecker , Luciano Rezzolla

We have developed a new numerical scheme to obtain quasiequilibrium structures of nonaxisymmetric compact stars such as binary neutron star systems as well as the spacetime around those systems in general relativity. Concerning…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Fumihiko Usui , Koji Uryu , Yoshiharu Eriguchi

We consider the dependence of the internal structure of a neutron star in a close binary system on the semi-major axis of the binary orbit, focusing on the case when the Roche lobes of the components are nearly filled. We adopt a polytropic…

Astrophysics · Physics 2007-05-23 O. A. Kuznetsov , M. E. Prokhorov , M. V. Sazhin , V. M. Chechetkin