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Abstract
Long ago, Newman and Janis showed that a complex deformation z → z + ia of the Schwarzschild solution produces the Kerr solution. The underlying explanation for this relationship has remained obscure. The complex deformation has an electromagnetic counterpart: by shifting the Coloumb potential, we obtain the EM field of a certain rotating charge distribution which we term √Kerr. In this note, we identify the origin of this shift as arising from the exponentiation of spin operators for the recently defined “minimally coupled” threeparticle amplitudes of spinning particles coupled to gravity, in the large spin limit. We demonstrate this by studying the impulse imparted to a test particle in the background of the heavy spinning particle. We first consider the electromagnetic case, where the impulse due to √Kerr is reproduced by a charged spinning particle; the shift of the Coloumb potential is matched to the exponentiated spinfactor appearing in the amplitude. The known impulse due to the Kerr black hole is then trivially derived from the gravitationally coupled spinning particle via the double copy.
Original language  English 

Article number  46 
Number of pages  6 
Journal  Journal of High Energy Physics 
Volume  2020 
Issue number  1 
DOIs  
Publication status  Published  8 Jan 2020 
Keywords
 hepth
 grqc
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 1 Finished

Particle Theory at the Higgs Centre
Ball, R., Boyle, P., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/17 → 30/09/21
Project: Research