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Chapter
Hamiltonian Formalism for Spinning Black Holes in General Relativity
A Hamiltonian treatment of gravitationally interacting spinning black holes is presented based on a tetrad generalization of the Arnowitt-Deser-Misner (ADM) canonical formalism of general relativity. The forma...
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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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Chapter
Binary Black Holes and Gravitational Wave Production: Post-Newtonian Analytic Treatment
Within a post-Newtonian approximation scheme the Einstein field equations are solved for the dynamics of the decaying orbits of binary black holes and the related gravitational wave emission. The black holes a...
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Chapter and Conference Paper
Gravitational Radiation Theory and Light Propagation
The paper gives an introduction to the gravitational radiation theory of isolated sources and to the propagation properties of light rays in radiative gravitational fields. It presents a theoretical study of t...
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Article
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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Article
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...