Post-Newtonian Approximations, Compact Binaries, and Strong-Field Tests of Gravity
Luc Blanchet, L P Grishchuk, and Gerhard Schaefer

TL;DR
This paper reviews recent advances in post-Newtonian approximations and their applications to compact binary systems, emphasizing tests of gravity in strong-field regimes through theoretical and observational studies.
Contribution
It provides a comprehensive overview of current research on post-Newtonian methods and strong-field tests in gravitational physics, consolidating findings from recent MG11 sessions.
Findings
Enhanced understanding of binary dynamics in strong gravity
Progress in testing general relativity with compact binaries
Development of post-Newtonian approximation techniques
Abstract
This is an extended summary of the two parallel sessions held at MG11: PPN1 ``Strong Gravity and Binaries'' (chaired by L.B. and L.G.) and PPN2 ``Post-Newtonian Dynamics in Binary Objects'' (chaired by G.S.). The aims and contents of these sessions were close to each other and overlapping. It is natural to review both sessions in one joint contribution to the MG11 Proceedings. The summary places the delivered talks in a broader perspective of current studies in this area. One can find more details in individual contributions of the respective authors.
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