Computer Science
Scientific paper
Dec 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007gregr..39.2025s&link_type=abstract
General Relativity and Gravitation, Volume 39, Issue 12, pp.2025-2037
Computer Science
2
Transfer Time, Null Geodesics, Boundary Value Problems, Shooting Method
Scientific paper
This paper determines the travel time of a light ray connecting two points in the space-time solving numerically a two-point boundary value problem by means of the shooting method. For the resolution of this problem multiple precision floating-point arithmetic is required. We have studied distinct implementations of the shooting method attending to the way in which the Jacobian appearing at each iteration is approximated. We have shown that by using Magnus expansions to solve the differential equation for the Jacobian, one obtains a better efficiency of the shooting method. Also, a comparison between the numerical results obtained through the application of the shooting method and those derived by Le Poncin-Lafitte et al. (Class Quantum Grav, 21:4463-4483, 2004) from perturbative expansions of the world function is made.
No associations
LandOfFree
Numerical determination of time transfer in general 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 Numerical determination of time transfer in general relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical determination of time transfer in general relativity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1760747