Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-05-13
Phys. Rev. D Vol:54, N:10
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
33 pages, 4 figures
Scientific paper
We treat the calculation of gravitational radiation using the mixed timelike-null initial value formulation of general relativity. The determination of an exterior radiative solution is based on boundary values on a timelike worldtube $\Gamma$ and on characteristic data on an outgoing null cone emanating from an initial cross-section of $\Gamma$. We present the details of a 3-dimensional computational algorithm which evolves this initial data on a numerical grid, which is compactified to include future null infinity as finite grid points. A code implementing this algorithm is calibrated in the quasispherical regime. We consider the application of this procedure to the extraction of waveforms at infinity from an interior Cauchy evolution, which provides the boundary data on $\Gamma$. This is a first step towards Cauchy-characteristic matching in which the data flow at the boundary $\Gamma$ is two-way, with the Cauchy and characteristic computations providing exact boundary values for each other. We describe strategies for implementing matching and show that for small target error it is much more computationally efficient than alternative methods.
Bishop Nigel
Go'mez Roberto
Lehner Luis
Winicour Jeffrey
No associations
LandOfFree
Cauchy-characteristic extraction in numerical relativity 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 Cauchy-characteristic extraction in numerical relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cauchy-characteristic extraction in numerical relativity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-664715