Three Dimensional Numerical Relativity with a Hyperbolic Formulation

Details Three Dimensional Numerical Relativity with a Hyperbolic Formulation Three Dimensional Numerical Relativity with a Hyperbolic Formulation

1998-04-22

arxiv.org/abs/gr-qc/9804052v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Corrected a wrong reference, added two, fixed notation and changed a figure. 35 double column pages including 41 figures. Vers

Scientific paper

We discuss a successful three-dimensional cartesian implementation of the Bona-Mass\'o hyperbolic formulation of the 3+1 Einstein evolution equations in numerical relativity. The numerical code, which we call ``Cactus,'' provides a general framework for 3D numerical relativity, and can include various formulations of the evolution equations, initial data sets, and analysis modules. We show important code tests, including dynamically sliced flat space, wave spacetimes, and black hole spacetimes. We discuss the numerical convergence of each spacetime, and also compare results with previously tested codes based on other formalisms, including the traditional ADM formalism. This is the first time that a hyperbolic reformulation of Einstein's equations has been shown appropriate for three-dimensional numerical relativity in a wide variety of spacetimes.

Affiliated with

Also associated with

No associations

Rating

Three Dimensional Numerical Relativity with a Hyperbolic Formulation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Three Dimensional Numerical Relativity with a Hyperbolic Formulation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Three Dimensional Numerical Relativity with a Hyperbolic Formulation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-474146