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Data analysis of gravitational-wave signals from spinning neutron stars. IV. An all-sky search
Pia Astone, Kazimierz M. Borkowski, Piotr Jaranowski +1
We develop a set of data analysis tools for a realistic all-sky search for continuous gravitational-wave signals. The methods that we present apply to data from both the resonant b…
Equivalence between the ADM-Hamiltonian and the harmonic-coordinates approaches to the third post-Newtonian dynamics of compact binaries
Thibault Damour, Piotr Jaranowski, Gerhard Schäfer
The third post-Newtonian approximation to the general relativistic dynamics of two point-mass systems has been recently derived by two independent groups, using different approache…
On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
Thibault Damour, Piotr Jaranowski, Gerhard Schaefer
We discuss the analytical determination of the location of the Last Stable Orbit (LSO) in circular general relativistic orbits of two point masses. We use several different ``resum…
The binary black-hole dynamics at the third post-Newtonian order in the orbital motion
Piotr Jaranowski, Gerhard Schäfer
The orbital dynamics of the binary point-mass systems is ambiguous at the third post-Newtonian order of approximation. The static ambiguity is known to be related to the difference…
Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem
Thibault Damour, Piotr Jaranowski, Gerhard Schäfer
A previously found momentum-dependent regularization ambiguity in the third post-Newtonian two point-mass Arnowitt-Deser-Misner Hamiltonian is shown to be uniquely determined by re…