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

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

2010-02-16

arxiv.org/abs/1002.3057v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, Proceedings of the 12th Marcel Grossman Meeting

Scientific paper

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.

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