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Article
Open AccessPost-Newtonian theory for gravitational waves
To be observed and analyzed by the network of current gravitational-wave detectors (LIGO, Virgo, KAGRA), and in anticipation of future third generation ground-based (Einstein Telescope, Cosmic Explorer) and sp...
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Article
Open AccessMultipole expansion of gravitational waves: memory effects and Bondi aspects
In our previous work, we proposed an algorithm to transform the metric of an isolated matter source in the multipolar post-Minkowskian approximation in harmonic (de Donder) gauge to the Newman-Unti gauge. We t...
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Article
Open AccessExploring the foundations of the physical universe with space tests of the equivalence principle
We present the scientific motivation for future space tests of the equivalence principle, and in particular the universality of free fall, at the 10− 17 level or better. Two possible mission scenarios, one based ...
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Article
Open AccessMultipole expansion of gravitational waves: from harmonic to Bondi coordinates
We transform the metric of an isolated matter source in the multipolar post-Minkowskian approximation from harmonic (de Donder) coordinates to radiative Newman-Unti (NU) coordinates. To linearized order, we ob...
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Article
Open AccessGravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
To be observed and analyzed by the network of gravitational wave detectors on ground (LIGO, VIRGO, etc.) and by the future detectors in space (eLISA, etc.), inspiralling compact binaries — binary star systems com...
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Book
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Chapter
Post-Newtonian Theory and the Two-Body Problem
Reliable predictions of general relativity theory are extracted using approximation methods. Among these, the powerful post-Newtonian approximation provides us with our best insights into the problems of motio...
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Chapter
High-Accuracy Comparison Between the Post-Newtonian and Self-Force Dynamics of Black-Hole Binaries
The relativistic motion of a compact binary system moving in circular orbit is investigated using the post-Newtonian (PN) approximation and the perturbative self-force (SF) formalism. A particular gauge-invari...
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Article
Atom gravimeters and gravitational redshift
Arising from: H. Müller, A. Peters & S. Chu Nature 463, 926–929 (2010)10.1038/nature08776; Müller & Chu reply
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Article
Open AccessGravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
The article reviews the current status of a theoretical approach to the problem of the emission of gravitational waves by isolated systems in the context of general relativity. Part A of the article deals with ge...
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Article
Equations of motion of compact binaries at the third post-Newtonian order
The equations of motion of two point masses in harmonic coordinates are derived through the third post-Newtonian (3PN) approximation. The problem of selffield regularization (necessary for removing the diverge...
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Article
Open AccessGravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
The article reviews the current status of a theoretical approach to the problem of the emission of gravitational waves by isolated systems in the context of general relativity. Part A of the article deals with...
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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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Chapter and Conference Paper
Post-Newtonian Gravitational Radiation
Let us declare that the most important devoir of any physical theory is to draw firm predictions for the outcome of laboratory experiments and astronomical observations. Unfortunately, the devoir is quite difficu...
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Chapter and Conference Paper
Inspiraling Compact Binaries
In this contribution we review several astrophysical properties of inspiraling compact binaries which make these systems unique, and very important as potential sources of gravitational radiation to be observe...
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Chapter and Conference Paper
Radiative gravitational fields and radiation reaction forces in general relativity
We define a Post Minkowskian iteration method for solving Einstein's vacuum equations and we give the general structure of the solution when r→o or c→+∞. The method is then used to derive an expression for the...
