Wide nutation: binary black-hole spins repeatedly oscillating from full alignment to full anti-alignment

Abstract

Within the framework of 2PN black-hole binary spin precession, we explore configurations where one of the two spins oscillates from being completely aligned with the orbital angular momentum to being completely anti-aligned with it during a single precession cycle. This "wide nutation" is the extreme limit of the generic phenomenon of spin nutation in black-hole binaries. Crucially, wide nutation happens on the short precession time scale and it is not a secular effect due to gravitational-wave radiation reaction. The spins of these binaries, therefore, flip repeatedly as one of these special configurations is entered. Binaries with total mass $M$, mass ratio $q$, and dimensionless spin ${\chi }_1$ (${\chi }_2$) of the more (less) massive black hole are allowed to undergo wide nutation at binary separations $r\le r_{\mathrm{wide}}\equiv [(q{\chi }_2-{\chi }_1)/(1-q){]}^{2}M$. Sources that are more likely to nutate widely have similar masses and effective spins close to zero.

arXiv commentAnimated version of Fig. 3 available at https://davidegerosa.com/spinprecession - Published in CQG

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