Summary of sessions B1/B2 and B2: relativistic astrophysics and numerical relativity

Summary of sessions B1/B2 and B2: relativistic astrophysics and numerical relativity

The numerical relativity session at GR18 was dominated by physics results on binary black hole mergers. Several groups can now simulate these from a time when the post-Newtonian equations of motion are still applicable, through several orbits and the merger to the ringdown phase, obtaining plausible gravitational waves at infinity, and showing some evidence of convergence with resolution. The r...

Lectures for VII Mexican School on Gravitation and Mathematical Physics Relativistic Astrophysics and Numerical Relativity Numerical Analysis for Numerical Relativists

1 Basic Finite Difference Techniques for Time Dependent PDEs 2 1.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Types of IVPs (by example) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2.1 Wave and “Wave-Like” (“Hyperbolic”): The 1-d Wave Equation . . . . . . . . . . . . 3 1.2.2 Diffusion (“Paraboli...

Numerical Relativity Cm1-a and Cm1-b Sessions

Numerical Relativity is concerned with solving the Einstein equations, as well as any field or matter equations on curved space-time, by means of computer calculations. The methods developed for this purpose up to now, as well as the addressed physical problems are getting more numerous every day. Thus, it is not surprising that among almost a hundred of parallel sessions of this ninth Marcel G...

Relativistic Hydrodynamics and other topics in Numerical Relativity

Numerical Relativity As A Tool For Computational Astrophysics

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 an extremely complex set of coupled, nonlinear, hyperbolic-elliptic partial differential equations. The largest parallel supercomputers are finally approach...