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Integrability of Black Hole Orbits in Maximal Supergravity
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abstract
We study the dynamics of a pair of extremal (half-BPS) black holes in $\mathcal{N}=8$ supergravity, as a potentially solvable model of gravitational dynamics. As a diagnosis of hidden symmetries, we ask whether the perihelion of the orbits precesses over time. We consider black hole charge vectors with arbitrary misalignment. First, we use scattering amplitude methods to compute the leading post-Newtonian correction for general mass ratios. This computation is greatly simplified by introducing a suitable on-shell superspace. Second, we study the probe limit to all orders in velocity and Newton's constant through a ten-dimensional brane setup. In all cases we find no precession. We relate this to the absence of scalar triangle integrals.
Forward citations
Cited by 3 Pith papers
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Supersymmetry, Supergravity and the Consistency of On-Shell Massive Superamplitudes
Consistent scattering amplitudes force a massless spin-3/2 particle to be the gravitino of a supergravity theory, and constrain massive BPS vector couplings to form a Lie algebra.
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Kerr-NUT mass/electric and equal-NUT/magnetic charges are dual in D≥4, realized as J_σ ↔ J_−σ in 3-point amplitudes generated by a spin-raising operator for all bosonic spins.
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Memory effect from the scattering of Taub-NUT black holes
Soft theorems yield a gauge-invariant nutty soft factor and the associated memory tensor for Kerr-Taub-NUT scattering, with magnetic components and directional divergences absent in electromagnetism.
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