Optimizing the third-and-a-half post-Newtonian gravitational radiation-reaction force for numerical simulations

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.

22 pages to appear in Physical Review D

References in corpus (5)

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• A hybrid approach to long-term binary neutron-star simulations
• A Post-Newtonian approach to black hole-fluid systems
• Long-term impact of the magnetic-field strength on the evolution and electromagnetic emission by neutron-star merger remnants