Recent years have witnessed dramatic progress in our understanding of how turbulence arises and transports angular momentum in astrophysical accretion disks. The key conceptual point has its origins in work dating from the 1950s, but its…
Theoretical Astrophysics
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Steady accretion disks are considered, and attention is given to the role of viscosity, radiation mechanisms, time dependence, instability, variability, and the inner boundary in the physics of accretion disks. The major uncertainties in accretion…

We present the piecewise parabolic method, a higherorder extension of Godunov's method. There are several new features of this method which distinguish it from other higherorder Godunovtype methods. We use a higherorder spatial interpolation…

This article presents a comprehensive overview of numerical hydrodynamics and magneto hydrodynamics (MHD) in general relativity. Some significant additions have been incorporated with respect to the previous two versions of this review (2000,…

We report on the completion of the Ðrst version of a newgeneration simulation code, FLASH. The FLASH code solves the fully compressible, reactive hydrodynamic equations and allows for the use of adaptive mesh reÐnement. It also contains…

The expansion of the field equations of general relativity in powers of the gravitational coupling constant yields conservation laws of energy, momentum, and angular momentum. From these, the loss of energy and angular momentum of a system due to…

We discuss various aspects of the postNewtonian approximation in general relativity. After presenting the foundation based on the Newtonian limit, we show a method to derive postNewtonian equations of motion for relativistic compact binaries based…

Measurements of H alpha , H I, and CO distributions in 61 normal spiral galaxies are combined with published farinfrared and CO observations of 36 infraredselected starburst galaxies, in order to study the form of the global star formation law…

Neutron stars are some of the densest manifestations of massive objects in the universe. They are ideal astrophysical laboratories for testing theories of dense matter physics and provide connections among nuclear physics, particle physics, and…

This review discusses smoothed particle hydrodynamics (SPH) in the astrophysical context, with a focus on inviscid gas dynamics. The particlebased SPH technique allows an intuitive and simple formulation of hydrodynamics that has excellent…

The clocklike properties of pulsars moving in the gravitational fields of their unseen neutronstar companions have allowed unique tests of general relativity and provided evidence for gravitational radiation. We report here the detection of the…

A landmark discovery was made in 2003 when the first binary system con taining two active radio pulsars was observed. Not only is this system, PSR J07373039A/B, the most relativistic binary system ever found, but it also exhibits eclipses and…

A radiative model for the soft gamma repeaters and the energetic 1979 March 5 burst is presented. We identify the sources of these bursts with neutron stars the external magnetic fields of which are much stronger than those of ordinary pulsars.…

Merging compact binaries are currently regarded as the most promising source of gravitational waves for the planned Earthbased LIGO/VIRGO laserinterferometer detector system, and will be an important source also for similar, lowerfrequency…

An important early prediction of Einstein's general relativity was the advance of the perihelion of Mercury's orbit, whose measurement provided one of the classical tests of Einstein's theory. The advance of the orbital pointofclosestapproach…

The cold dark matter model has become the leading theoretical picture for the formation of structure in the Universe. This model, together with the theory of cosmic inflation, makes a clear prediction for the initial conditions for structure…

We consider an expanding Friedmann cosmology containing a "gas" of selfgravitating masses. The masses condense into aggregates which (when sufficiently bound) we identify as single particels of a larger mass.

This paper brings together, into a single unified notation, the multipole formalisms for gravitational radiation which various people have constructed. It also extends the results of previous workers. More specifically:

The paper presents a detailed review of the smooth particle hydrodynamics (SPH) method with particular focus on its astrophysical applications. We start by introducing the basic ideas and concepts and thereby outline all ingredients that are…

We investigate how current and proposed observations of neutron stars can lead to an understanding of the state of their interiors and the key unknowns: the typical neutron star radius and the neutron star maximum mass. We consider observations made…
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