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A new approach to construct initial data for binary systems with neutron star components is introduced. The approach is a generalization of the puncture initial data method for binary black holes based on Bowen-York solutions to the…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Michael Clark , Pablo Laguna

This paper reports on our effort in modeling realistic astrophysical neutron star binaries in general relativity. We analyze under what conditions the conformally flat quasiequilibrium (CFQE) approach can generate ``astrophysically…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mark Miller , Philip Gressman , Wai-Mo Suen

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 investigate close binary neutron stars in quasiequilibrium states in a general relativistic framework. We assume conformal flatness for the spatial metric and irrotational velocity field for the neutron stars. We adopt the polytropic…

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

We report on the first calculations of fully relativistic binary circular orbits to span a range of separation distances from the innermost stable circular orbit (ISCO), deeply inside the strong field regime, to a distance ($\sim$ 200 km)…

General Relativity and Quantum Cosmology · Physics 2011-07-19 P. Marronetti , G. J. Mathews , J. R. Wilson

We perform fully relativistic calculations of binary neutron stars in quasi-equilibrium circular orbits. We integrate Einstein's equations together with the relativistic equation of hydrostatic equilibrium to solve the initial value problem…

General Relativity and Quantum Cosmology · Physics 2009-10-30 T. W. Baumgarte , G. B. Cook , M. A. Scheel , S. L. Shapiro , S. A. Teukolsky

We present the extension of our \cocal~- Compact Object CALculator - code to compute general-relativistic initial data for binary compact-star systems. In particular, we construct quasiequilibrium initial data for equal-mass binaries with…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Antonios Tsokaros , Koji Uryu , Luciano Rezzolla

We consider the Einstein-Maxwell system as a Cauchy initial value problem taking the electric and magnetic fields as independent variables. Maxwell's equations in curved spacetimes are derived in detail using a 3+1 formalism and their…

General Relativity and Quantum Cosmology · Physics 2009-11-29 Miguel Alcubierre , Juan Carlos Degollado , Marcelo Salgado

We present a novel method to study interacting orbits in a fixed mean gravitational field associated with a solution of the Einstein field equations. The idea is to consider the Newton gravity among the orbiting particles in a geometry…

Astrophysics · Physics 2007-05-23 Eduardo Gueron , Patricio S. Letelier

Construction of astrophysically realistic initial data remains a central problem when modelling the merger and eventual coalescence of binary black holes in numerical relativity. The objective of this paper is to provide astrophysically…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Samaya Nissanke

We construct quasiequilibrium sequences of black hole-neutron star binaries in general relativity. We solve Einstein's constraint equations in the conformal thin-sandwich formalism, subject to black hole boundary conditions imposed on the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Keisuke Taniguchi , Thomas W. Baumgarte , Joshua A. Faber , Stuart L. Shapiro

The innermost stable circular orbit (ISCO) delimits the transition from circular orbits to those that plunge into a black hole. In the test-mass limit, well-defined ISCO conditions exist for the Kerr and Schwarzschild spacetimes. In the…

General Relativity and Quantum Cosmology · Physics 2011-01-25 Marc Favata

We apply standard post-Newtonian methods in general relativity to locate the innermost circular orbit (ICO) of irrotational and corotational binary black-hole systems. We find that the post-Newtonian series converges well when the two…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luc Blanchet

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

We study a simple analytic solution to Einstein's field equations describing a thin spherical shell consisting of collisionless particles in circular orbit. We then apply two independent criteria for the identification of circular orbits,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Monica L. Skoge , Thomas W. Baumgarte

We consider unconstrained evolution schemes for the hyperboloidal initial value problem in numerical relativity as a promising candidate for the optimally efficient numerical treatment of radiating compact objects. Here, spherical symmetry…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Alex Vañó-Viñuales , Sascha Husa

We study the final state of the gravitational collapse of uniformly rotating supramassive neutron stars by axisymmetric simulations in full general relativity. The rotating stars provided as the initial condition are marginally stable…

Astrophysics · Physics 2008-11-26 Masaru Shibata

In this paper we present quasi equilibrium models of black hole-neutron star (BHNS) binaries with mass and spin values compatible with parameter estimates derived from gravitational radiation events GW200105 and GW200115, events consistent…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Antonio Lanza , Samuel D. Tootle , Andrea Lapi

We study linear nonradial perturbations and stability of a marginal stable circular orbit (MSCO) such as the innermost stable circular orbit (ISCO) of a test particle in stationary axisymmetric spacetimes which possess a reflection symmetry…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Toshiaki Ono , Tomohito Suzuki , Hideki Asada

The focus of this work is on the construction of initial data including a neutron star on a hyperboloidal slice. As simplest scenario for this first step, spherical symmetry is considered together with a polytropic-like equation of state…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Alex Vañó-Viñuales