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Open AccessHamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
Hamiltonian formalisms provide powerful tools for the computation of approximate analytic solutions of the Einstein field equations. The post-Newtonian computations of the explicit analytic dynamics and motion...
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Article
Open AccessHamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
Hamiltonian formalisms provide powerful tools for the computation of approximate analytic solutions of the Einstein field equations. The post-Newtonian computations of the explicit analytic dynamics and motion...
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Article
S. Kopeikin, M. Efroimsky and G. Kaplan: Relativistic celestial mechanics of the solar system
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Article
A canonical dynamics view of the Newtonian limit of general relativity
The Newtonian limit of general relativity was Jürgen Ehlers favourite model for limit relations between theories of physics. In this contribution, for the case of isolated systems, the Newtonian limit of gener...
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BOOK REVIEW: Proceedings of the 14th International Conference on General Relativity and Gravitation, edited by M. Francaviglia, G. Longhi, L. Lusanna, and E. Sorace
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The ADM Hamiltonian at the postlinear approximation
The ADM Hamiltonian for a many-particle system is calculated up to the postlinear approximation, i.e., to the approximation that both the equations of motion for the particles and the equations of motion for t...
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Article
Lagrangians forn point masses at the second post-Newtonian approximation of general relativity
We study the effect of an infinitesimal coordinate transformation on the Lagrangian and on the metric functional of a system ofn point masses. We show how to compute the Lagrangians ofn point masses at the second...