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GR: Fachverband Gravitation und Relativitätstheorie

GR 13: Klassische Allgemeine Relativitätstheorie II

GR 13.2: Vortrag

Donnerstag, 31. März 2011, 19:05–19:25, 20.40: 101

Next-to-leading order spin-orbit and spin(a)-spin(b) Hamiltonians for arbitrary many gravitating spinning compact objects — •Johannes Hartung and Jan Steinhoff — Theoretisch--Physikalisches Institut, Friedrich--Schiller--Universität Jena, Max--Wien--Platz 1, 07743 Jena

At the next-to-leading order spin-orbit and spin(a)-spin(b) interaction levels, counted within a post-Newtonian approximation scheme, the complexity of Einstein's general relativity becomes apparent. Due to the nonlinearity of the field equations there appear certain three-body interaction terms in the respective Hamiltonians. In this talk we discuss those gravitational three-body correlations. Afterwards an outline of the derivation of the Hamiltonians mentioned above for arbitrary many compact objects is given. A discussion of the relative strength of the next-to-leading order interaction terms in relation to the leading order ones --- via a preliminary analysis of certain special configurations of the three-body system --- is provided.