ADM canonical formulation with spin and application to post-Newtonian approximations

Abstract

Recently, different methods succeeded in calculating the spin dynamics at higher orders in the post-Newtonian (PN) approximation. This is an essential step toward the determination of more accurate templates for gravitational waves, to be used in future gravitational wave astronomy. We focus on the extension of the ADM canonical formalism to spinning binary black holes. Using the global Poincare invariance of asymptotically flat spacetimes as the most important guiding consistency condition, this extension can be constructed order by order in the PN approximation. We were able to reach a high order both in the spin power and the PN counting.

4 pages, Proceedings of the 12th Marcel Grossman Meeting

References in corpus (5)

• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• ADM canonical formalism for gravitating spinning objects
• Higher-order-in-spin interaction Hamiltonians for binary black holes from Poincaré invariance
• Comment on recent papers regarding next-to-leading order spin-spin effects in gravitational interaction