Post-Newtonian Theory and Dimensional Regularization

Details Post-Newtonian Theory and Dimensional Regularization Post-Newtonian Theory and Dimensional Regularization

2006-06-29

arxiv.org/abs/gr-qc/0606128v2

AIPConf.Proc.861:145-160,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, to appear in the Proceedings of the "Albert Einstein Century Conference", Paris (2005), edited by Jean-Michel Alimi

Scientific paper

10.1063/1.2399575

Inspiralling compact binaries are ideally suited for application of a high-order post-Newtonian (PN) gravitational wave generation formalism. To be observed by the LIGO and VIRGO detectors, these very relativistic systems (with orbital velocities of the order of 0.5c in the last rotations) require high-accuracy templates predicted by general relativity theory. Recent calculations of the motion and gravitational radiation of compact binaries at the 3PN approximation using the Hadamard self-field regularization have left undetermined a few dimensionless coefficients called ambiguity parameters. In this article we review the application of dimensional self-field regularization, within Einstein's classical general relativity formulated in D space-time dimensions, which finally succeeded in clearing up the problem, by uniquely fixing the values of all the ambiguity parameters.

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