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Information about the last stages of a binary neutron star inspiral and the final merger can be extracted from quasi-equilibrium configurations and dynamical evolutions. In this article, we construct quasi-equilibrium configurations for…

We use a post-Newtonian diagnostic tool to examine numerically generated quasiequilibrium initial data sets for non-spinning double neutron star and neutron star-black hole binary systems. The PN equations include the effects of tidal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Emanuele Berti , Sai Iyer , Clifford M. Will

Approximate solutions to the Einstein field equations are a valuable tool to investigate gravitational phenomena. An important aspect of any approximation is to investigate and quantify its regime of validity. We present a study that…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Tanja Bode , Pablo Laguna , Deirdre M. Shoemaker , Ian Hinder , Frank Herrmann , Birjoo Vaishnav

We report on numerical results from an independent formalism to describe the quasi-equilibrium structure of nonsynchronous binary neutron stars in general relativity. This is an important independent test of controversial numerical…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. Marronetti , G. J. Mathews , J. R. Wilson

We have calculated evolution of neutron star binaries towards the coalescence driven by gravitational radiation. The hydrodynamical effects as well as the general relativistic effects are important in the final phase. All corrections up to…

General Relativity and Quantum Cosmology · Physics 2009-10-28 W. Ogawaguchi , Y. Kojima

The coalescence of a neutron star with a black hole is a primary science target of ground-based gravitational wave detectors. Constraining or measuring the neutron star spin directly from gravitational wave observations requires knowledge…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Nick Tacik , Francois Foucart , Harald P. Pfeiffer , Curran Muhlberger , Lawrence E. Kidder , Mark A. Scheel , Bela Szilagyi

This thesis describes a numerical study of binary boson stars within the context of an approximation to general relativity. The approximation we adopt places certain restrictions on the dynamical variables of general relativity (conformal…

General Relativity and Quantum Cosmology · Physics 2010-03-02 Bruno C. Mundim

A complete formalism for constructing initial data representing black-hole binaries in quasi-equilibrium is developed. Radiation reaction prohibits, in general, true equilibrium binary configurations. However, when the timescale for orbital…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gregory B. Cook

We propose a new numerical method to compute quasi-equilibrium sequences of general relativistic irrotational binary neutron star systems. It is a good approximation to assume that (1) the binary star system is irrotational, i.e. the…

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

Numerical relativity simulations are essential to study the last stages of the binary neutron star coalescence. Unfortunately, for stable simulations there is the need to add an artificial low-density atmosphere. Here we discuss a new…

General Relativity and Quantum Cosmology · Physics 2020-11-11 Amit Poudel , Wolfgang Tichy , Bernd Brügmann , Tim Dietrich

We present a new numerical scheme for solving the initial value problem for quasiequilibrium binary neutron stars allowing for arbitrary spins. We construct sequences of circular-orbit binaries of varying separation, keeping the rest mass…

General Relativity and Quantum Cosmology · Physics 2016-11-09 P. Marronetti , S. L. Shapiro

Using an energy variational method, we calculate quasi-equilibrium configurations of binary neutron stars modeled as compressible triaxial ellipsoids obeying a polytropic equation of state. Our energy functional includes terms both for the…

Astrophysics · Physics 2009-10-30 James C. Lombardi , Frederic A. Rasio , Stuart L. Shapiro

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

We address the existence of globally neutral neutron star configurations in contrast with the traditional ones constructed by imposing local neutrality. The equilibrium equations describing this system are the Einstein-Maxwell equations…

Solar and Stellar Astrophysics · Physics 2009-11-25 Jorge A. Rueda , Remo Ruffini , She-Sheng Xue

We use post-Newtonian (PN) approximations to determine the initial orbital and spin parameters of black hole binaries that lead to low-eccentricity inspirals when evolved with numerical relativity techniques. In particular, we seek initial…

General Relativity and Quantum Cosmology · Physics 2020-11-10 James Healy , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

We present a framework to study generic neutron-star binaries in scalar-tensor theories of gravity. Our formalism achieves this goal by suitably interfacing a post-Newtonian orbital evolution (described by a set of ordinary differential…

General Relativity and Quantum Cosmology · Physics 2014-03-07 Carlos Palenzuela , Enrico Barausse , Marcelo Ponce , Luis Lehner

We present a code to construct initial data for binary neutron star systems in which the stars are rotating. Our code, based on a formalism developed by Tichy, allows for arbitrary rotation axes of the neutron stars and is able to achieve…

We investigate the dynamic stability of inspiraling neutron stars by performing multiple-orbit numerical relativity simulations of the binary neutron star inspiral process. By introducing eccentricities in the orbits of the neutron stars,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark Miller

Simulations of binary neutron stars have seen great advances in terms of physical detail and numerical quality. However, the spin of the neutron stars, one of the simplest global parameters of binaries, remains mostly unstudied. We present…

General Relativity and Quantum Cosmology · Physics 2015-04-15 Sebastiano Bernuzzi , Tim Dietrich , Wolfgang Tichy , Bernd Bruegmann

One often-used approximation in the study of binary compact objects (i.e., black holes and neutron stars) in general relativity is the instantaneously circular orbit assumption. This approximation has been used extensively, from the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mark Miller