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arXiv · 0707.0876

Quasi-Local Linear Momentum in Black-Hole Binaries

Badri Krishnan·Carlos O. Lousto·Yosef Zlochower
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Abstract

We propose a quasi-local formula for the linear momentum of black-hole horizons inspired by the formalism of quasi-local horizons. We test this formula using two complementary configurations: (i) by calculating the large orbital linear momentum of the two black holes in an unequal-mass, zero-spin, quasi-circular binary and (ii) by calculating the very small recoil momentum imparted to the remnant of the head-on collision of an equal-mass, anti-aligned-spin binary. We obtain results consistent with the horizon trajectory in the orbiting case, and consistent with the net radiated linear momentum for the much smaller head-on recoil velocity.

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Badri Krishnan, Carlos O. Lousto, Yosef Zlochower. 2007-10-01. Quasi-Local Linear Momentum in Black-Hole Binaries. https://doi.org/10.1103/physrevd.76.081501

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