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Abstract: The periodic standing wave method studies circular orbits of compact objectscoupled to helically symmetric standing wave gravitational fields. From thissolution an approximation is extracted for the strong field, slowlyinspiralling motion of black holes and binary stars. Previous work on thismodel has dealt with nonlinear scalar models, and with linearized generalrelativity. Here we present the results of the method for the post-MinkowskiPM approximation to general relativity, the first step beyond linearizedgravity. We compute the PM approximation in two ways: first, via the standardapproach of computing linearized gravitational fields and constructing fromthem quadratic driving sources for second-order fields, and second, by solvingthe second-order equations as an ``exact- nonlinear system. The results ofthese computations have two distinct applications: i The computationalinfrastructure for the ``exact- PM solution will be directly applicable tofull general relativity. ii The results will allow us to begin supplyinginitial data to collaborators running general relativistic evolution codes.



Author: Christopher Beetle, Benjamin Bromley, Napoleón Hernández, Richard H. Price

Source: https://arxiv.org/







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