Post-Newtonian Approximation
Hideki Asada, Toshifumi Futamase
TL;DR
This paper reviews the post-Newtonian approximation in general relativity, covering foundational concepts, formulation for perfect fluids, equilibrium configurations, and gravitational wave phenomena.
Contribution
It provides a comprehensive overview of the post-Newtonian approximation, including new methods for modeling rotating fluids and gravitational wave effects.
Findings
Method for constructing equilibrium configurations of rotating fluids.
Analysis of gravitational wave tails in post-Newtonian systems.
Formulation of the approximation using (3+1) formalism.
Abstract
We discuss various aspects of the post-Newtonian approximation in general relativity. After presenting the foundation based on the Newtonian limit, we use the (3+1) formalism to formulate the post-Newtonian approximation for the perfect fluid. As an application we show the method for constructing the equilibrium configuration of nonaxisymmetric uniformly rotating fluid. We also discuss the gravitational waves including tail from post-Newtonian systems.
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