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We present a numerical method to compute quasiequilibrium configurations of close binary neutron stars in the pre-coalescing stage. A hydrodynamical treatment is performed under the assumption that the flow is either rigidly rotating or…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. Gourgoulhon , P. Grandclement , K. Taniguchi , J. -A. Marck , S. Bonazzola

General-relativistic equilibria of differentially rotating stars are expected in a number of astrophysical scenarios, from core-collapse supernovae to the remnant of binary neutron-star mergers. The latter, in particular, have been the…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Marie Cassing , Luciano Rezzolla

We consider a universal relation between moment of inertia and quadrupole moment of arbitrarily fast rotating neutron stars. Recent studies suggest that this relation breaks down for fast rotation. We find that it is still universal among…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Sayan Chakrabarti , Térence Delsate , Norman Gürlebeck , Jan Steinhoff

Wide binary stars are within the low-acceleration regime in which galactic rotation curves deviate from Newtonian or general relativistic predictions. It has recently been observed that their rotation rates are similarly anomalous in a way…

General Physics · Physics 2019-08-14 M. E. McCulloch , J. H. Lucio

We present a Bayesian data analysis pipeline for testing GR using gravitational wave signals from coalescing compact binaries, and in particular binary neutron stars. In this study, we investigate its performance when sources with spins are…

General Relativity and Quantum Cosmology · Physics 2013-08-06 Michalis Agathos , Walter Del Pozzo , Tjonnie G. F. Li , Chris Van Den Broeck , John Veitch , Salvatore Vitale

We construct relativistic equilibrium models of differentially rotating neutron stars and show that they can support significantly more mass than their nonrotating or uniformly rotating counterparts. We dynamically evolve such…

Astrophysics · Physics 2011-05-05 Thomas W. Baumgarte , Stuart L. Shapiro , Masaru Shibata

We study the problem of the instability of inhomogeneous radiation universes in quadratic lagrangian theories of gravity written as a system of evolution equations with constraints. We construct formal series expansions and show that the…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Spiros Cotsakis , Dimitrios Trachilis

Some of the theoretical challenges posed by the general relativistic description of binary systems of compact objects (neutron stars or black holes) are reviewed. We recall the various ways one can use the theory of the motion, and of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Thibault Damour

I discuss generalized spin-1/2 equations for neutrinos. They have been obtained by means of the Gersten's method for derivation of arbitrary-spin relativistic equations. Possible physical consequences are discussed.

Quantum Physics · Physics 2016-11-21 Valeriy V. Dvoeglazov

We revisit the problem of inertial r-modes in stratified stars, drawing on a more precise description of the composition stratification in a mature neutron star. The results highlight issues with the traditional approach to the problem,…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Nils Andersson , Fabian Gittins

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

We propose a new numerical method to compute quasi-equilibrium sequences of general relativistic irrotational binary neutron star systems. It is a good approximation to assume that (1) the binary star system is irrotational, i.e. the…

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

The gauge gravitation theory in the Riemann-Cartan space-time is investigated in order to solve the fundamental problems of the general relativity theory. The constraints for indefinite parameters of the theory under which solutions of…

General Relativity and Quantum Cosmology · Physics 2026-01-22 A. V. Minkevich

The general relativity is the base for any exact evolutionary theory of large scale structures. We calculate the universal 2+1-dimensional plane equations of gravitational field in general relativity. Based on the equations, the evolutions…

General Physics · Physics 2007-05-23 Yi-Fang Chang

Simulations of binary neutron stars have seen great advances in terms of physical detail and numerical quality. However, the spin of the neutron stars, one of the simplest global parameters of binaries, remains mostly unstudied. We present…

General Relativity and Quantum Cosmology · Physics 2015-04-15 Sebastiano Bernuzzi , Tim Dietrich , Wolfgang Tichy , Bernd Bruegmann

In the present paper we investigate self-consistently slowly rotating neutron and strange stars in R-squared gravity. For this purpose we first derive the equations describing the structure of the slowly rotating compact stars in…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Kalin V. Staykov , Daniela D. Doneva , Stoytcho S. Yazadjiev , Kostas D. Kokkotas

Numerical relativity is finally approaching a state where the evolution of rather general (3+1)-dimensional data sets can be computed in order to solve the Einstein equations. After a general introduction, three topics of current interest…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Bernd Bruegmann

We construct sequences of rapidly rotating neutron stars in dilatonic Einstein-Gauss-Bonnet theory, employing two equations of state for the nuclear matter. We analyze the dependence of the physical properties of these neutron stars on the…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Burkhard Kleihaus , Jutta Kunz , Sindy Mojica , Marco Zagermann

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 2009-11-07 M. K. Mak , T. Harko

This thesis details an effort to generate astrophysically interesting solutions to the two-body problem in General Relativity. The thesis consists of two main parts. The first part presents an analytical variational principle for describing…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Brian D. Baker