Fakultäten » Mathematisch-naturwissenschaftliche Fakultät » Physik-Institut » Prof. Dr. Philippe Jetzer » Balmelli

Completed research project

Title / Titel Effective-one-body Hamiltonian with next-to-leading order spin-spin coupling for two nonprecessing black holes with aligned spins
PDF Abstract (PDF, 14 KB)
Summary / Zusammenfassung The canonical Arnowitt-Deser-Misner (ADM) Hamiltonian with next-to-leading order spin-spin coupling [J. Steinhoff, S. Hergt, and G. Schafer, Phys. Rev. D 77, 081501 (2008); 78, 101503 (2008)] is converted into the effective-one-body (EOB) formalism of [T. Damour, P. Jaranowski, and G. Schafer, Phys. Rev. D 78, 024009 (2008)] for the special case of spinning black hole binaries whose spins are aligned with the angular momentum. In particular, we propose to include the new terms by adding a dynamical term of next-to-leading order to the Kerr parameter squared entering the effective metric. The modified EOB Hamiltonian consistently reduces to the Kerr Hamiltonian as the mass ratio tends to zero; moreover, it predicts the existence of an innermost stable circular orbit. We also derive, for the general case of arbitrarily oriented spins but in the vanishing mass-ratio limit, a coordinate transformation that maps the next-to-leading order spin-spin contribution of the ADM Hamiltonian to the EOB Hamiltonian.
Publications / Publikationen S. Balmelli, Ph. Jetzer, Physical Review D91, 064011 (2015)

S. Balmelli, T. Damour, Physical Review D92, 124022 (2015)

Weitere Informationen: Physical Review D87, article number 124036 (2013)

Project leadership and contacts /
Projektleitung und Kontakte
Simone Balmelli (Project Leader)
Prof. Philippe Jetzer
Funding source(s) /
Unterstützt durch
SNF (Personen- und Projektförderung)
Duration of Project / Projektdauer Jan 2012 to Dec 2015