Asymptotically null slices in numerical relativity: mathematical analysis and spherical wave equation
Calabrese, Gioel, Gundlach, Carsten and Hilditch, David (2006) Asymptotically null slices in numerical relativity: mathematical analysis and spherical wave equation. Classical and Quantum Gravity, 23, 4829-4845. (doi:10.1088/0264-9381/23/15/004).
Download
Full text not available from this repository.
Description/Abstract
We investigate the use of asymptotically null slices combined with stretching or compactification of the radial coordinate for the numerical simulation of asymptotically flat spacetimes. We consider a 1-parameter family of coordinates characterized by the asymptotic relation r ~ R1-n between the physical radius R and the coordinate radius r, and the asymptotic relation K ~ Rn/2-1 for the extrinsic curvature of the slices. These slices are asymptotically null in the sense that their Lorentz factor relative to stationary observers diverges as Γ ~ Rn/2. While 1 < n ≤ 2 slices intersect {\mathscr I^+}, 0< n\le 1 slices end at i0. We carry out numerical tests with the spherical wave equation on Minkowski and Schwarzschild spacetimes. Simulations using our coordinates with 0 < n ≤ 2 achieve higher accuracy at a lower computational cost in following outgoing waves to a very large radius than using standard n = 0 slices without compactification. Power-law tails in Schwarzschild are also correctly represented.
| Item Type: | Article |
|---|---|
| ISSNs: | 0264-9381 (print) |
| Related URLs: | |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics |
| Item ID: | 54070 |
| Date Deposited: | 28 Jul 2008 |
| Last Modified: | 20 Jul 2012 01:57 |
| Contributors: | Calabrese, Gioel (Author) Gundlach, Carsten (Author) Hilditch, David (Author) |
| Date: | July 2006 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/54070 |
Actions (login required)
 |
View Item |
