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arXiv · 0804.2386

Dimensional regularization of the gravitational interaction of point masses in the ADM formalism

Thibault Damour·Piotr Jaranowski·Gerhard Schäfer
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Abstract

The ADM formalism for two-point-mass systems in $d$ space dimensions is sketched. It is pointed out that the regularization ambiguities of the 3rd post-Newtonian ADM Hamiltonian considered directly in $d=3$ space dimensions can be cured by dimensional continuation (to complex $d$'s), which leads to a finite and unique Hamiltonian as $d\to3$. Some so far unpublished details of the dimensional-continuation computation of the 3rd post-Newtonian two-point-mass ADM Hamiltonian are presented.

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Thibault Damour, Piotr Jaranowski, Gerhard Schäfer. 2008-04-15. Dimensional regularization of the gravitational interaction of point masses in the ADM formalism. https://doi.org/10.1142/9789812834300_0441

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