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Prog. Theor. Phys. Supplement No.128 (1997) pp. 123-181

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Chapter 2. Post-Newtonian Approximation

— Its Foundation and Applications —

Hideki Asada and Toshifumi Futamase*

Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-01
*Astronomical Institute, Graduate School of Science, Tohoku University, Sendai 980-77

(Received September 10, 1997)

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 non-axisymmetric uniformly rotating fluid. We also discuss the gravitational waves including tail from post-Newtonian systems.


URL : http://ptp.ipap.jp/link?PTPS/128/123/
DOI : 10.1143/PTPS.128.123

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