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We are developing 3 dimensional simulation codes for coalescing binary neutron stars. A code using the maximal slicing condition is obtained. To evaluate the gravitational radiation, we implemented a gauge-invariant wave extraction and…

Astrophysics · Physics 2007-05-23 Mari Kawamura , Ken-ichi Oohara , Takashi Nakamura

Gravitational waves are produced by orbiting massive binary objects, such as black holes and neutron stars, and propagate as ripples in the very fabric of spacetime. As the waves carry off orbital energy, the two bodies spiral into each…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Dillon Buskirk , Maria C. Babiuc Hamilton

Binary pulsars are a powerful tool for probing strong gravity that still outperforms direct gravitational wave observations in a number of directions due to the remarkable accuracy of the pulsar timing. They can constrain very precisely the…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Petar Y. Yordanov , Kalin V. Staykov , Stoytcho S. Yazadjiev , Daniela D. Doneva

We present a self-consistent, relativistic model of rapidly rotating neutron stars describing their exterior gravitational field. This is achieved by matching the new solution of Einstein's field equations found by Manko et al. (2000) and…

Astrophysics · Physics 2009-11-07 Matthias Stute , Max Camenzind

For isentropic fluids, dynamical evolution of a binary system conserves the baryonic mass and circulation; therefore, sequences of constant rest mass and constant circulation are of particular importance. In this work, we present the…

General Relativity and Quantum Cosmology · Physics 2019-01-01 Antonios Tsokaros , Koji Uryu , Milton Ruiz , Stuart L. Shapiro

We present a class of exact solutions of Einstein's gravitational field equations describing spherically symmetric and static anisotropic stellar type configurations. The solutions are obtained by assuming a particular form of the…

General Relativity and Quantum Cosmology · Physics 2017-10-04 T. Harko , M. K. Mak

We present a code for solving the coupled Einstein-hydrodynamics equations to evolve relativistic, self-gravitating fluids. The Einstein field equations are solved in generalized harmonic coordinates on one grid using pseudospectral…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Matthew D. Duez , Francois Foucart , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel , Saul A. Teukolsky

We present the first results from a new method for computing spacetimes representing corotating binary black holes in circular orbits. The method is based on the assumption of exact equilibrium. It uses the standard 3+1 decomposition of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Philippe Grandclément , Eric Gourgoulhon , Silvano Bonazzola

We demonstrate Bayesian analyses of the complete gravitational-wave spectrum of binary neutron star mergers events with the next-generation detector Einstein Telescope. Our mock analyses are performed for 20 different signals using the…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Giulia Huez , Sebastiano Bernuzzi , Matteo Breschi , Rossella Gamba

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

We perform simulations of relativistic binary stars in post-Newtonian gravity to investigate their dynamical stability prior to merger against gravitational collapse in a tidal field. In general, our equations are only strictly accurate to…

General Relativity and Quantum Cosmology · Physics 2009-12-30 M. Shibata , T. W. Baumgarte , S. L. Shapiro

We present the first direct comparison of numerical simulations of neutron star-black hole and black hole-black hole mergers in full general relativity. We focus on a configuration with non spinning objects and within the most likely range…

We present a fast method for obtaining fully analytical approximations for gravitational waveforms produced by merging of neutron stars and/or black holes for the earliest stages of the merger process. The obtained analytical formula is…

High Energy Astrophysical Phenomena · Physics 2025-11-04 Aleksandra V. Mishakina , Sergei I. Blinnikov

We have tested the appropriateness of two-soliton analytic metric to describe the exterior of all types of neutron stars, no matter what their equation of state or rotation rate is. The particular analytic solution of the vaccuum Einstein…

General Relativity and Quantum Cosmology · Physics 2013-02-12 George Pappas , Theocharis A. Apostolatos

The relevance of orbital eccentricity in the detection of gravitational radiation from (steady state) binary stars is emphasized. Computationnally effective fast and accurate)tools for constructing gravitational wave templates from binary…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Pierro , I. M. Pinto , A. D. Spallicci , E. Laserra , F. Recano

It is known that B\"acklund transformations can be used to generate stationary axisymmetric solutions of Einstein's vacuum field equations with any number of constants. We will use this class of exact solutions to describe the exterior…

General Relativity and Quantum Cosmology · Physics 2011-09-12 C. Teichmüller , M. B. Fröb , F. Maucher

The influence of the rotation on the total masses and radii of the neutron stars are calculated by the Hartle's slow rotation formalism, while the equation of state is considered in a relativistic $\sigma-\omega$ model. Comparing with the…

Astrophysics · Physics 2009-11-10 De-hua Wen , Wei Chen , Xian-ju Wang , Bao-quan Ai , Guo-tao Liu , Dong-qiao Dong , Liang-gang Liu

We provide accurate universal relations that allow to estimate the moment of inertia $I$ and the ratio of kinetic to gravitational binding energy $T/W$ of uniformly rotating neutron stars from the knowledge of mass, radius, and moment of…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Christian J. Krüger , Sebastian H. Völkel

Massive (hypermassive and supramassive) neutron stars are likely to be often formed after the merger of binary neutron stars. We explore the evolution process of the remnant massive neutron stars and gravitational waves emitted by them,…

High Energy Astrophysical Phenomena · Physics 2015-06-16 Kenta Hotokezaka , Kenta Kiuchi , Koutarou Kyutoku , Takayuki Muranushi , Yu-ichiro Sekiguchi , Masaru Shibata , Keisuke Taniguchi

In this work we provide a framework that connects the co-rotating and counter rotating $f$-mode frequencies of rotating neutron stars with their stellar structure. The accurate computation of these modes for realistic equations of state has…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Sebastian H. Völkel , Christian J. Krüger , Kostas D. Kokkotas