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Numerical studies of the dynamics of gravitational systems, e.g., black hole-neutron star systems, require physical and constraint-satisfying initial data. In this article, we present the newly developed pseudo-spectral code Elliptica, an…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Alireza Rashti , Francesco Maria Fabbri , Bernd Brügmann , Swami Vivekanandji Chaurasia , Tim Dietrich , Maximiliano Ujevic , Wolfgang Tichy

Sequences of initial-data sets representing binary black holes in quasi-circular orbits have been used to calculate what may be interpreted as the innermost stable circular orbit. These sequences have been computed with two approaches. One…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Pablo Laguna

The initial condition problem for a binary neutron star system requires a Poisson equation solver for the velocity potential with a Neumann-like boundary condition on the surface of the star. Difficulties that arise in this boundary value…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Bing-Jyun Tsao , Roland Haas , Antonios Tsokaros

We present a novel numerical solver for the systems of coupled non-linear elliptical differential equations. The solver partitions the computational domain into a set of rectangular pseudo-spectral collocation subdomains and is especially…

General Relativity and Quantum Cosmology · Physics 2024-04-08 Nikolay Sukhov

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…

Binary neutron stars in circular orbits can be modeled as helically symmetric, i.e., stationary in a rotating frame. This symmetry gives rise to a first integral of the Euler equation, often employed for constructing equilibrium solutions…

General Relativity and Quantum Cosmology · Physics 2014-10-31 Niclas Moldenhauer , Charalampos M. Markakis , Nathan K. Johnson-McDaniel , Wolfgang Tichy , Bernd Bruegmann

We develop a framework for constructing initial data sets for perturbations about spherically symmetric matter distributions. This framework facilitates setting initial data representing astrophysical sources of gravitational radiation…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Nils Andersson , Kostas D. Kokkotas , Pablo Laguna , Philippos Papadopoulos , Michael S. Sipior

We present a new numerical relativity code designed for simulations of compact binaries involving matter. The code is an upgrade of the BAM code to include general relativistic hydrodynamics and implements state-of-the-art…

General Relativity and Quantum Cosmology · Physics 2011-08-12 Marcus Thierfelder , Sebastiano Bernuzzi , Bernd Bruegmann

We present a new numerical method for the construction of quasiequilibrium models of black hole-neutron star binaries. We solve the constraint equations of general relativity, decomposed in the conformal thin-sandwich formalism, together…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Thomas W. Baumgarte , Monica L. Skoge , Stuart L. Shapiro

We consider combining two important methods for constructing quasi-equilibrium initial data for binary black holes: the conformal thin-sandwich formalism and the puncture method. The former seeks to enforce stationarity in the conformal…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mark D. Hannam , Charles R. Evans , Gregory B. Cook , Thomas W. Baumgarte

For highly compact neutron stars, constructing numerical initial data for black hole-neutron star binary evolutions is very difficult. We describe improvements to an earlier method that enable it to handle these more challenging cases. We…

General Relativity and Quantum Cosmology · Physics 2016-10-26 Katherine Henriksson , François Foucart , Lawrence E. Kidder , Saul A. Teukolsky

Equilibria of binary neutron stars in close circular orbits are computed numerically in a waveless formulation: The full Einstein-relativistic-Euler system is solved on an initial hypersurface to obtain an asymptotically flat form of the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Koji Uryu , Francois Limousin , John L. Friedman , Eric Gourgoulhon , Masaru Shibata

A multi-domain spectral method for computing very high precision 3-D stellar models is presented. The boundary of each domain is chosen in order to coincide with a physical discontinuity (e.g. the star's surface). In addition, a…

Astrophysics · Physics 2009-06-11 S. Bonazzola , E. Gourgoulhon , J. -A. Marck

We review recent advances in the study of binary star formation that have been made using the smoothed particle hydrodynamics (SPH) technique. We discuss the importance of ensuring that the Jeans mass is always resolved during a…

Astrophysics · Physics 2007-05-23 Matthew R. Bate

Spatially resolving the orbits of double-lined spectroscopic binaries provides a way to measure the dynamical masses of the component stars. At the distances to the nearest star forming regions, high angular resolution techniques are…

Solar and Stellar Astrophysics · Physics 2011-08-23 Gail H. Schaefer

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 conduct a direct comparison of three different representative numerical codes for constructing models of rapidly rotating neutron stars in general relativity. Our aim is to evaluate the accuracy of the codes and to investigate how the…

General Relativity and Quantum Cosmology · Physics 2011-05-23 Tetsuo Nozawa , Nikolaos Stergioulas , Eric Gourgoulhon , Yoshiharu Eriguchi

Binarity plays a crucial role in star formation and evolution. Consequently, identifying binary stars is essential to deepen our understanding of these processes. We propose a method to investigate the observed radial velocity distribution…

Astrophysics of Galaxies · Physics 2024-12-18 Stefano Rinaldi , María Claudia Ramírez-Tannus

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

Binary stars are prevalent yet challenging to detect. We present a novel approach using convolutional neural networks (CNNs) to identify binary stars from low-resolution spectra obtained by the LAMOST survey. The CNN is trained on a dataset…

Solar and Stellar Astrophysics · Physics 2025-02-25 Yingjie Jing , Tian-Xiang Mao , Jie Wang , Chao Liu , Xiaodian Chen