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Post-Newtonian Approximation

arXiv:gr-qc/9806108 · doi:10.1143/PTPS.128.123

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.

59 pages, ptptex file; published in Progress of Theoretical Physics Supplement, No.128, pages 123-181 (1997)