Berlin 2005 – wissenschaftliches Programm

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GR: Gravitation und Relativitätstheorie

GR 10: Gravitationswellen – Quellen

GR 10.7: Vortrag

Samstag, 5. März 2005, 15:30–15:45, TU BH262

Post-Newtonian accurate parametric solution to the dynamics of spinning compact binaries in eccentric orbits: The leading order spin-orbit interaction — •Christian Königsdörffer and Achamveedu Gopakumar — Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743 Jena, Germany

We derive Keplerian-type parametrization for the solution of post-Newtonian (PN) accurate conservative dynamics of spinning compact binaries moving in eccentric orbits. The PN accurate dynamics that we consider consists of the third PN accurate conservative orbital dynamics influenced by the leading order spin effects, namely the leading order spin-orbit interactions. The orbital elements of the representation are explicitly given in ADM-type coordinates. Our parametric solution is applicable in the following two distinct cases: (i) the binary consists of equal mass compact objects, having two arbitrary spins, and (ii) the binary consists of compact objects of arbitrary mass, where only one of them is spinning with an arbitrary spin. As an application of our parametrization, we present gravitational wave polarizations, whose amplitudes are restricted to the leading quadrupolar order, suitable to describe gravitational radiation from spinning compact binaries moving in eccentric orbits. The present parametrization will be required to construct ‘ready to use’ reference templates for gravitational waves from spinning compact binaries in inspiralling eccentric orbits. Finally, we note that our parametrization provides the first step in deriving a fully second PN accurate ‘timing formula’, that may be useful for the radio observations of relativistic binary pulsars like J0737-3039.