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We present a new analytic study of the equilibrium and stability properties of close binary systems containing polytropic components. Our method is based on the use of ellipsoidal trial functions in an energy variational principle. We…

Astrophysics · Physics 2009-10-22 D. Lai , F. A. Rasio , S. L. Shapiro

Many exoplanets are discovered in binary star systems in internal or in circumbinary orbits. Whether the planet can be habitable or not depends on the possibility to maintain liquid water on its surface, and therefore on the luminosity of…

Earth and Planetary Astrophysics · Physics 2021-06-23 G. De Cesare , R. Capuzzo-Dolcetta

With an increasing number of expected gravitational-wave detections of binary neutron star mergers, it is essential that gravitational-wave models employed for the analysis of observational data are able to describe generic compact binary…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Reetika Dudi , Tim Dietrich , Alireza Rashti , Bernd Bruegmann , Jan Steinhoff , Wolfgang Tichy

The dynamics of a binary system with two spinning components on an eccentric orbit is studied, with the inclusion of the spin-spin interaction terms appearing at the second post-Newtonian order. A generalized true anomaly parametrization…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely

Hydrodynamical simulations of semi-detached, polytropic binary stars are presented in an effort to study the onset and stability of dynamical mass transfer events. Initial, synchronously rotating equilibrium models are constructed using a…

Astrophysics · Physics 2009-11-13 Mario C. R. D'Souza , Patrick M. Motl , Joel E. Tohline , Juhan Frank

Steady-state circulation currents are predicted in tidally deformed binary stars, which are believed to be progenitors of double black-hole merger events. This work aims to quantitatively characterise the steady-state circulation currents…

Solar and Stellar Astrophysics · Physics 2020-09-23 Ben Hastings , Norbert Langer , Gloria Koenigsberger

The secular evolution of a spinning, massive binary system in eccentric orbit is analyzed, expanding and generalizing our previous treatments of the Lense-Thirring motion and the one-spin limit. The spin-orbit and spin-spin effects up to…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely , Zoltán I. Perjés , Mátyás Vasúth

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

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

Spin can have significant effects on the electromagnetic transients accompanying binary neutron star mergers. The measurement of spin can provide important information about binary formation channels. In the absence of a strong neutron star…

High Energy Astrophysical Phenomena · Physics 2019-12-18 William E. East , Vasileios Paschalidis , Frans Pretorius , Antonios Tsokaros

We present a numerical scheme that solves the initial value problem in full general relativity for a binary neutron star in quasi-equilibrium. While Newtonian gravity allows for a strict equilibrium, a relativistic binary system emits…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Thomas W. Baumgarte , Stuart L. Shapiro , Gregory B. Cook , Mark A. Scheel , Saul A. Teukolsky

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

The majority of star formation results in binaries or higher multiple systems, and planets in such systems are constrained to a limited range of orbital parameters in order to remain stable against perturbations from stellar companions.…

Earth and Planetary Astrophysics · Physics 2024-07-22 Billy Quarles , Hareesh Gautham Bhaskar , Gongjie Li

We calculate quasiequilibrium sequences of equal-mass, irrotational binary neutron stars (BNSs) in a scalar-tensor (ST) theory of gravity that admits dynamical scalarization. We model neutron stars with realistic equations of state (notably…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Keisuke Taniguchi , Masaru Shibata , Alessandra Buonanno

Neutron stars in binary orbit emit gravitational waves and spiral slowly together. During this inspiral, they are expected to have very little vorticity. It is in fact a good approximation to treat the system as having zero vorticity, i.e.,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Saul A. Teukolsky

We considered the problem of stability for planets of finite mass in binary star systems. We selected a huge set of initial conditions for planetary orbits of the S-type, to perform high precision and very extended in time integrations. For…

Earth and Planetary Astrophysics · Physics 2020-08-26 Roberto Capuzzo-Dolcetta , Giovanni De Cesare , Alessio Marino

We analytically calculate the equilibrium sequence of the corotating binary stars of incompressible fluid in the first post-Newtonian(PN) approximation of general relativity. By calculating the total energy and total angular momentum of the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Keisuke Taniguchi , Masaru Shibata

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

The orbital separation of compact binary stars will shrink with time due to the emission of gravitational radiation. This inspiralling phase of a binary system's evolution generally will be very long compared to the system's orbital period,…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Kimberly C. B. New , Joel E. Tohline

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