Optimizing the third-and-a-half post-Newtonian gravitational radiation-reaction force for numerical simulations
Guillaume Faye, Gerhard Schaefer
Abstract
The gravitational radiation-reaction force acting on perfect fluids at 3.5 post-Newtonian order is cast into a form which is directly applicable to numerical simulations. Extensive use is made of metric-coefficient changes induced by functional coordinate transformations, of the continuity equation, as well as of the equations of motion. We also present an expression appropriate for numerical simulations of the radiation field causing the worked out reaction force.
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