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We obtain an approximate global stationary and axisymmetric solution of Einstein's equations which can be thought as a simple star model: a self-gravitating perfect fluid ball with a differential rotation motion pattern. Using the…

广义相对论与量子宇宙学 · 物理学 2017-10-04 A. Molina , E. Ruiz

In this paper, we have reviewed the present status of the theory of equilibrium configurations of compact binary star systems in Newtonian gravity. Evolutionary processes of compact binary star systems due to gravitational wave emission can…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Yoshiharu Eriguchi , Koji Uryu

We derive Keplerian-type parametrization for the solution of post-Newtonian (PN) accurate conservative dynamics of spinning compact binaries moving in eccentric orbits. The PN accurate dynamics that we consider consists of the third…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Christian Koenigsdoerffer , Achamveedu Gopakumar

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…

广义相对论与量子宇宙学 · 物理学 2010-03-02 Bruno C. Mundim

We propose a new numerical method to calculate irrotational binary systems composed of compressible gaseous stars in Newtonian gravity. Assuming irrotationality, i.e. vanishing of the vorticity vector everywhere in the star in the inertial…

天体物理学 · 物理学 2009-10-30 Koji Uryu , Yoshiharu Eriguchi

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…

广义相对论与量子宇宙学 · 物理学 2009-10-31 E. Gourgoulhon , P. Grandclement , K. Taniguchi , J. -A. Marck , S. Bonazzola

We investigate the dissipative dynamics of compact binary systems within the framework of Einstein-Maxwell theory. By evaluating the mass and electric multipole moments of binaries, we compute the combined gravitational and electromagnetic…

广义相对论与量子宇宙学 · 物理学 2026-04-14 Zi-Han Zhang , Tan Liu , Shuai Zhang , Zong-Kuan Guo

Gravitational radiation-reaction phenomena occurring in the dynamics of inspiralling compact binary systems are investigated at the first post-Newtonian order beyond the quadrupole approximation in the context of Einstein-Cartan theory,…

广义相对论与量子宇宙学 · 物理学 2024-02-09 Vittorio De Falco , Emmanuele Battista , Davide Usseglio , Salvatore Capozziello

Recently we derived the next-to-next-to-leading order post-Newtonian Hamiltonians at spin-orbit and spin(1)-spin(2) level for a binary system of compact objects. In this talk the derivation of them will be shortly outlined at an…

广义相对论与量子宇宙学 · 物理学 2013-03-05 Johannes Hartung , Jan Steinhoff , Gerhard Schäfer

A detailed account is given on approximation schemes to the Einstein theory of general relativity where the iteration starts from the Newton theory of gravity. Two different coordinate conditions are used to represent the Einstein field…

广义相对论与量子宇宙学 · 物理学 2024-05-19 Gerhard Schäfer

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…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Philippe Grandclément , Eric Gourgoulhon , Silvano Bonazzola

Reliable predictions of general relativity theory are extracted using approximation methods. Among these, the powerful post-Newtonian approximation provides us with our best insights into the problems of motion and gravitational radiation…

广义相对论与量子宇宙学 · 物理学 2010-03-12 Luc Blanchet

Dissipative tidal interactions can be used to probe the out-of-equilibrium physics of neutron stars using gravitational wave observations. In this paper, we present the first post-Newtonian (PN) corrections to the orbital dynamics of a…

广义相对论与量子宇宙学 · 物理学 2025-01-15 Abhishek Hegade K. R. , Justin L. Ripley , Nicolás Yunes

The orbit-averaged fluxes of energy and angular momentum generated by a compact binary system of nonspinning particles are obtained in a popular class of massless scalar-tensor theories with first-and-a-half post-Newtonian (1.5PN) accuracy,…

广义相对论与量子宇宙学 · 物理学 2025-07-31 David Trestini

We calculate the explicit equations of motion for non-spinning compact objects to 2.5 post-Newtonian order, or O(v/c)^5 beyond Newtonian gravity, in a general class of scalar-tensor theories of gravity. We use the formalism of the Direct…

广义相对论与量子宇宙学 · 物理学 2013-05-14 Saeed Mirshekari , Clifford M. Will

We use equations of motion containing gravitational radiation-reaction terms through 4.5 post-Newtonian order to calculate the late-time eccentricities of inspiraling binary systems of non-spinning compact bodies as they cross the detection…

广义相对论与量子宇宙学 · 物理学 2021-11-16 Alexandria Tucker , Clifford M. Will

The spin-down of a millisecond pulsar in a compact binary system leads to self-energy losses, that cause the binary's orbital period to increase (the effect being of first post-Newtonian (1PN) order). If the pulsar's period-derivative is…

天体物理学 · 物理学 2009-10-31 N. K. Spyrou , N. Stergioulas

We investigate close binary neutron stars in quasiequilibrium states in a general relativistic framework. We assume conformal flatness for the spatial metric and irrotational velocity field for the neutron stars. We adopt the polytropic…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Koji Uryu , Masaru Shibata , Yoshiharu Eriguchi

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…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Koji Uryu , Francois Limousin , John L. Friedman , Eric Gourgoulhon , Masaru Shibata

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…

广义相对论与量子宇宙学 · 物理学 2009-10-31 László Á. Gergely