13 Result(s)
within
English
Classical and Quantum Gravitation, Relativity Theory
Gerhard Schäfer
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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
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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Chapter
Higher Order Post-Newtonian Dynamics of Compact Binary Systems in Hamiltonian Form
The Hamiltonian formalism developed by Arnowitt, Deser, and Misner (ADM) is used to derive and discuss the higher order post-Newtonian dynamics and motion of compact binary systems in general relativity includ...
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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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Chapter
Post-Newtonian Methods: Analytic Results on the Binary Problem
A detailed account is given on approximation schemes to the Einstein theory of general relativity where the iteration starts from the Newton theory of gravity. Two different coordinate conditions are used to r...
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Chapter
Gravitomagnetism in Physics and Astrophysics
Based on general relativity, the article reviews gravitomagnetism in physics and astrophysics. Emphasis is put on observational effects. Accelerated reference frames in flat spacetime are discussed to illumina...
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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
Propagation of Light in the Gravitational Field of Binary Systems to Quadratic Order in Newton's Gravitational Constant
The propagation of light is treated in the postlinear gravitational field of binary systems. The light deflection is calculated to quadratic order in Newton’s gravitational constant and fourth order in the inv...
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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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Chapter and Conference Paper
Gravity-wave astrophysics
An overview is given of the gravity-wave emission from astrophysical sources. The detectability of gravity-wave signals on Earth and in space is discussed.
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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...
