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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…

广义相对论与量子宇宙学 · 物理学 2017-09-27 Bernd Bruegmann

We review the current status of attempts to numerically model the merger of neutron star-neutron star (NSNS) and black hole-neutron star (BHNS) binary systems, and we describe the understanding of such events that is emerging from these…

高能天体物理现象 · 物理学 2014-11-20 Matthew D. Duez

The numerical modeling of binary neutron star mergers has become a subject of much interest in recent years. While a full and accurate model of this phenomenon would require the evolution of the equations of relativistic hydrodynamics along…

天体物理学 · 物理学 2009-10-31 F. Douglas Swesty , Edward Y. M. Wang , Alan C. Calder

There are many complementary approaches to the construction of solutions to the field equations of general relativity. Among these, numerical approximation offers the only possibility to compute a variety of dynamical spacetimes, and so has…

广义相对论与量子宇宙学 · 物理学 2024-05-13 David Hilditch

We present a new numerical method for the construction of quasiequilibrium models of black hole-neutron star binaries. We solve the constraint equations of general relativity, decomposed in the conformal thin-sandwich formalism, together…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Thomas W. Baumgarte , Monica L. Skoge , Stuart L. Shapiro

The astrophysics of compact objects, which requires Einstein's theory of general relativity for understanding phenomena such as black holes and neutron stars, is attracting increasing attention. In general relativity, gravity is governed by…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Edward Seidel , Wai-Mo Suen

Models of neutron stars are considered in the case of a uniform density distribution. An algebraic equation, valid for any equation of state, is obtained. This equation allows one to find the approximate mass of a star of a given density…

高能天体物理现象 · 物理学 2023-11-14 G. S. Bisnovatyi-Kogan , E. A. Patraman

We propose an approximation to general relativity that captures the main gravitational effects of dynamical importance in supernovae. The conceptual link between this formalism and the Newtonian limit is such that it could likely be…

天体物理学 · 物理学 2007-05-23 Christian Y. Cardall , Anthony Mezzacappa , Matthias Liebendoerfer

We present results of numerical computations of quasiequilibrium sequences of binary neutron stars with zero vorticity, in the general relativistic framework. The Einstein equations are solved under the assumption of a conformally flat…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. Bonazzola , E. Gourgoulhon , J. -A. Marck

The theory of general relativity, which is extremely well verified by classic tests in the solar system as well as by the radiation of the binary pulsar, is one of the fundamental tools of nowadays astrophysics. It permits the computation…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Luc Blanchet

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

Extremely wide binary stars represent ideal systems to probe Newtonian dynamics in the low acceleration regimes (<10e-10 m/s/s) typical of the external regions of galaxies. Here we present a study of 60 alleged wide binary stars with…

星系天体物理 · 物理学 2017-06-28 Riccardo Scarpa , Riccardo Ottolina , Renato Falomo , Aldo Treves

We study oscillations and instabilities of relativistic stars using perturbation theory in general relativity and take into account the contribution of a dynamic spacetime. We present the oscillation spectrum as well as the critical values…

广义相对论与量子宇宙学 · 物理学 2020-09-16 C. J. Krüger , K. D. Kokkotas

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

The status of experimental tests of general relativity and of theoretical frameworks for analysing them are reviewed. Einstein's equivalence principle (EEP) is well supported by experiments such as the E\"otv\"os experiment, tests of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Clifford M. Will

Recent experiments have successfully tested Einstein's general theory of relativity to remarkable precision. We discuss recent progress in the tests of relativistic gravity in the solar system and present motivations for the new generation…

广义相对论与量子宇宙学 · 物理学 2015-05-13 Slava G. Turyshev

A formulation of Einstein equations is presented that could yield advantages in the study of collisions of binary compact objects during regimes between linear-nonlinear transitions. The key idea behind this formulation is a separation of…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Pablo Laguna

This paper reports on our effort in modeling realistic astrophysical neutron star binaries in general relativity. We analyze under what conditions the conformally flat quasiequilibrium (CFQE) approach can generate ``astrophysically…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Mark Miller , Philip Gressman , Wai-Mo Suen

We describe in detail the implementation of a simplified approach to radiative transfer in general relativity by means of the well-known neutrino leakage scheme (NLS). In particular, we carry out an extensive investigation of the properties…

广义相对论与量子宇宙学 · 物理学 2013-10-03 Filippo Galeazzi , Wolfgang Kastaun , Luciano Rezzolla , José A. Font