Kerr-Newman stress-tensor from minimal coupling

Abstract

In this paper, we demonstrate that at leading order in post Minkowskian (PM) expansion, the stress-energy tensor of Kerr-Newman can be recovered to all orders in spin from three sets of minimal coupling: the electric and gravitational minimal coupling for higher-spin particles, and the "minimal coupling" for massive spin-2 decay. These couplings are uniquely defined from kinematic consideration alone. This is shown by extracting the classical piece of the one-loop stress-energy tensor form factor, which we provide a basis that is valid to all orders in spin. The 1 PM stress tensor, and the metric in the harmonic gauge, is then recovered from the classical spin limit of the form factor.

19 pages, 3 figures

References in corpus (6)

• Black holes and the double copy
• Direct extraction of one-loop integral coefficients
• The Double Copy of Electric-Magnetic Duality
• Classical potential for general spinning bodies
• Kerr-Newman from Minimal Coupling
• Minimal spin deflection of Kerr-Newman and Supersymmetric black hole

Cited by in corpus (22)

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• Compton Black-Hole Scattering for $s\le 5/2$
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• Mining the Geodesic Equation for Scattering Data
• The Schwarzschild-Tangherlini metric from scattering amplitudes in various dimensions
• Scattering Angles in Kerr Metrics
• Asymptotic Weyl Double Copy
• Classical Limit of Higher-Spin String Amplitudes
• Black Holes in Klein Space
• Observables from the Spinning Eikonal
• The single copy of the gravitational holonomy
• A Rutherford-like formula for scattering off Kerr-Newman BHs and subleading corrections
• Massive twistor worldline in electromagnetic fields
• Gravitational Dyonic Amplitude at One-Loop and its Inconsistency with the Classical Impulse
• Quantum corrections to frame-dragging in scattering amplitudes
• The Reissner-Nordström-Tangherlini solution from scattering amplitudes of charged scalars
• Spin supplementary condition in quantum field theory: covariant SSC and physical state projection
• Charged test-particle scattering and effective one-body metrics with spin
• Minimal spin deflection of Kerr-Newman and Supersymmetric black hole
• Classical Observables using Exponentiated Spin factors: Electromagnetic Scattering
• $S$-matrix approach to general gravity and beyond