Other
Scientific paper
Feb 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..47.1529s&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 47, Issue 4, 15 February 1993, pp.1529-1540
Other
18
Finite-Difference Methods, Other Special Classical Field Theories
Scientific paper
While not a correct physical theory, relativistic scalar gravitation provides a simple test site for developing many of the tools of numerical relativity. In contrast with general relativity, scalar gravitation allows gravitational waves to be generated in spherical symmetry. Hence one needs only one spatial dimension to try out methods of calculating wave emission and propagation. Using this theory, we have built a mean-field particle simulation scheme to study the dynamical behavior of collisionless matter in spherical symmetry. We find that we are able to calculate smooth and accurate wave forms, despite the stochastic representation of the matter source terms caused by sampling with a finite number of particles. A similar scheme should provide accurate wave forms in general relativity, provided sufficient computer resources are used.
Shapiro Stuart L.
Teukolsky Saul A.
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