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Spacetime is foliated by spatial hypersurfaces in the 3+1 split of General Relativity. The initial value problem then consists of specifying initial data for all relevant fields on one such a spatial hypersurface. These fields are the…

General Relativity and Quantum Cosmology · Physics 2017-01-04 Wolfgang Tichy

The late stage of the inspiral of two black holes may have important non-Newtonian effects that are unrelated to radiation reaction. To understand these effects we approximate a slowly inspiralling binary by a stationary solution to…

General Relativity and Quantum Cosmology · Physics 2009-11-07 John T Whelan , Christopher Beetle , Walter Landry , Richard H Price

Numerical evolutions of a system of equations close to null infinity in the geometric background of the inversion-Minkowski spacetime are performed. The evolved equations correspond to the linearisation of a second order metric formulation…

General Relativity and Quantum Cosmology · Physics 2025-03-12 Christian Peterson , Edgar Gasperín , Alex Vañó-Viñuales

We perform new longterm (15-16 orbits) simulations of coalescing binary neutron stars in numerical relativity using an updated Einstein's equation solver, employing low-eccentricity initial data, and modeling the neutron stars by a…

General Relativity and Quantum Cosmology · Physics 2015-04-01 Kenta Hotokezaka , Koutarou Kyutoku , Hirotada Okawa , Masaru Shibata

Over forty years of research suggests that the common envelope phase, in which an evolved star engulfs its companion upon expansion, is the critical evolutionary stage forming short-period, compact-object binary systems, such as coalescing…

High Energy Astrophysical Phenomena · Physics 2019-10-16 Tassos Fragos , Jeff J. Andrews , Enrico Ramirez-Ruiz , Georges Meynet , Vicky Kalogera , Ronald E. Taam , Andreas Zezas

After giving an overview of the history and idea of neutron stars, I shall introduce, in part one of my lectures, a representative collection of models for the equation of state of superdense neutron star matter, which account for various…

Astrophysics · Physics 2007-05-23 Fridolin Weber , Norman K. Glendenning

Differentially rotating scalarized neutron stars, mimickers of binary merger remnants, can possess an enormous angular momentum larger than what could possibly be sustained in a neutron star in general relativity by about one order of…

General Relativity and Quantum Cosmology · Physics 2025-02-07 Alan Tsz-Lok Lam , Kalin V. Staykov , Hao-Jui Kuan , Daniela D. Doneva , Stoytcho S. Yazadjiev

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

We present a new scheme for constructing initial data for the Einstein field equations using the conformal thin-sandwich formulation that does not assume conformal flatness or approximate Killing vectors. This includes a method for…

General Relativity and Quantum Cosmology · Physics 2012-11-29 William E. East , Fethi M. Ramazanoğlu , Frans Pretorius

Neutron stars in X-ray binary systems are fascinating objects that display a wide range of timing and spectral phenomena in the X-rays. Not only parameters of the neutron stars, like magnetic field strength and spin period evolve in their…

High Energy Astrophysical Phenomena · Physics 2017-09-22 Biswajit Paul

As current gravitational wave (GW) detectors increase in sensitivity, and particularly as new instruments are being planned, there is the possibility that ground-based GW detectors will observe GWs from highly eccentric neutron star…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Swami Vivekanandji Chaurasia , Tim Dietrich , Nathan K. Johnson-McDaniel , Maximiliano Ujevic , Wolfgang Tichy , Bernd Brügmann

We introduce a computational framework which avoids solving explicitly hydrodynamic equations and is suitable to study the pre-merger evolution of black hole-neutron star binary systems. The essence of the method consists of constructing a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Carlos F. Sopuerta , Ulrich Sperhake , Pablo Laguna

A general relativistic version of the Euler equation for perfect fluid hydrodynamics is applied to a system of two neutron stars orbiting each other. In the quasi-equilibrium phase of the evolution of this system, a first integral of motion…

General Relativity and Quantum Cosmology · Physics 2009-10-30 S. Bonazzola , E. Gourgoulhon , J. -A. Marck

The aim of this work is twofold: (i) to properly define a wave-generation formalism for compact-supported sources embedded in Einstein-Maxwell theory, relying on matched post-Newtonian and multipolar-post-Minkowskian expansions; (ii) to…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Quentin Henry , François Larrouturou , Christophe Le Poncin-Lafitte

We present results from three-dimensional general relativistic simulations of binary neutron star coalescences and mergers using public codes. We considered equal mass models where the baryon mass of the two Neutron Stars (NS) is…

General Relativity and Quantum Cosmology · Physics 2016-08-09 Francesco Maione , Roberto De Pietri , Alessandra Feo , Frank Löffler

Massive stars are usually found in binaries, and binaries with periods less than 10 days may have a preference for near equal component masses. In this paper we investigate the evolution of these binaries all the way to contact and the…

Solar and Stellar Astrophysics · Physics 2017-06-08 Jason A. Hwang , James C. Lombardi , Frederic A. Rasio , Vassiliki Kalogera

We demonstrate how observables of slowly rotating neutron stars can be used to constrain the nuclear equation of state. By building a Bayesian framework we demonstrate how combining different types of neutron star measurements, motivated by…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Sebastian H. Völkel , Christian J. Krüger

We present a formalism for constructing quasi-equilibrium binary black hole initial data suitable for numerical evolution. We construct quasi-equilibrium models by imposing an approximate helical Killing symmetry appropriate for…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Hwei-Jang Yo , James N. Cook , Stuart L. Shapiro , Thomas W. Baumgarte

The innermost stable circular orbits (ISCO) of coalescing neutron star-black hole binary are studied taking into account both the tidal and relativistic effects. We adopt the generalized pseudo-Newtonian potential to mimic the general…

Astrophysics · Physics 2009-10-28 Keisuke Taniguchi , Takashi Nakamura

Coalescing compact binaries with neutron star or black hole components provide the most promising sources of gravitational radiation for detection by the LIGO/VIRGO/GEO/TAMA laser interferometers now under construction. This fact has…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Frederic A. Rasio , Stuart L. Shapiro