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Reconstructing Classical Spacetimes from the S-Matrix in Twistor Space
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abstract
We present a holographic construction of solutions to the gravitational wave equation starting from QFT scattering amplitudes. The construction amounts to a change of basis from momentum to $(2,2)$ twistor space, together with a recently introduced analytic continuation between $(2,2)$ and $(1,3)$ spacetimes. We test the transform for three and four-point amplitudes in a classical limit, recovering both stationary and dynamical solutions in GR as parametrized by their tower of multipole moments, including the Kerr black hole. As a corollary, this provides a link between the Kerr-Schild classical double copy and the QFT double copy.
Forward citations
Cited by 3 Pith papers
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Incidence Relations for Self-Dual Black Holes
Closed-form deformed incidence relations are constructed for Eguchi-Hanson, self-dual Taub-NUT, and self-dual Plebanski-Demianski spacetimes by resumming the Dunajski-Mason recursion in Plebanski coordinates.
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Gravity From a Color Symmetry II: Celestial Color Kinematics for Mass and Spin
The kinematic Jacobi identities of minimally coupled gravity amplitudes for arbitrary mass and spin are recast as associativity of a 2d color symmetry, with massive states giving a one-parameter deformation and a limi...
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An Exact Black Hole Scattering Amplitude
For the self-dual black hole (NUT charge equal to mass), perihelion precession vanishes to all orders in G, and the exact quantum amplitude is the Fourier transform of the exponentiated classical eikonal phase.
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