Radial infall of two compact objects: 2.5PN linear momentum flux and associated recoil

Details Radial infall of two compact objects: 2.5PN linear momentum flux and associated recoil Radial infall of two compact objects: 2.5PN linear momentum flux and associated recoil

2012-02-28

arxiv.org/abs/1202.6213v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 2 figures

Scientific paper

The loss rate of linear momentum from a binary system composed of compact objects (radially falling towards each other under mutual gravitational influence) has been investigated using the multipolar post-Minkowskian approach. The 2.5PN accurate analytical formula for the linear momentum flux is provided, in terms of the separation of the two objects, in harmonic coordinates, both for a finite and infinite initial separation. The 2.5PN formulas for the linear momentum flux are finally used to estimate the recoil velocity accumulated during a premerger phase of the binary evolution.

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