3rd post-Newtonian higher order Hamilton dynamics for two-body point-mass systems

Abstract

The paper presents the conservative dynamics of two-body point-mass systems up to the third post-Newtonian order ($1/c^6$). The two-body dynamics is given in terms of a higher order ADM Hamilton function which results from a third post-Newtonian Routh functional for the total field-plus-matter system. The applied regularization procedures, together with making use of distributional differentiation of homogeneous functions, give unique results for the terms in the Hamilton function apart from the coefficient of the term $(νp_{i}{\pa_{i}})^2r^{-1}$. The result suggests an invalidation of the binary point-mass model at the third post-Newtonian order.

LaTeX, 27 pages, submitted to Physical Review D

References in corpus (3)

• Improved filters for gravitational waves from inspiralling compact binaries
• Gravitational radiation reaction and balance equations to post-Newtonian order
• Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies

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