Two-body solution of the Newman-Penrose asymptotic equations |
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Authors: | Cresswell Alan Zimmerman Robert L |
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Institution: | (1) Department of Physics and Institute of Theoretical Science, University of Oregon, 97403 Eugene, Oregon |
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Abstract: | The Newman-Penrose nonlinear asymptotic field equations are separated in terms of spin weight spherical harmonics (s.w.s.h.).
As an example, the results are used to study the radiation effects on a two-body system. The presence of radiation is manifest
through the nonlinear terms in the asymptotic equations. If these terms are assumed to be small, the asymptotic equations
can be formally solved by an iteration procedure. For the above example the first step of the iteration procedure is implemented
to an accuracy that includes the effects of radiation up to octopole order. The results illustrate the usual internal decay
of the orbit as well as an acceleration of the system's center of mass. In favorable cases, the two-body source can reach
significant velocities due to the radiation reaction. |
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Keywords: | |
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