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Title: Kerr black holes as elementary particles

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 \( \sqrt{\mathrm{Kerr}} \). In this note, we identify the origin of this shift as arising from the exponentiation of spin operators for the recently defined “minimally coupled” three-particle 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 \( \sqrt{\mathrm{Kerr}} \) is reproduced by a charged spinning particle; the shift of the Coloumb potential is matched to the exponentiated spin-factor 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.

Authors:
 [1];  [2];  [3]
  1. Inst. for Advanced Study, Princeton, NJ (United States)
  2. National Taiwan Univ., Taipei (Taiwan); National Tsing Hua Univ., Hsinchu (Taiwan)
  3. Univ. of Edinburgh, Scotland (United Kingdom)
Publication Date:
Research Org.:
Inst. for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Simons Foundation; Science and Technology Facilities Council (STFC)
OSTI Identifier:
1596096
Grant/Contract Number:  
[SC0009988; 106-2628-M-002-012-MY3]
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
[Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 1]; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Black Holes; Scattering Amplitudes

Citation Formats

Arkani-Hamed, Nima, Huang, Yu-tin, and O’Connell, Donal. Kerr black holes as elementary particles. United States: N. p., 2020. Web. doi:10.1007/JHEP01(2020)046.
Arkani-Hamed, Nima, Huang, Yu-tin, & O’Connell, Donal. Kerr black holes as elementary particles. United States. doi:10.1007/JHEP01(2020)046.
Arkani-Hamed, Nima, Huang, Yu-tin, and O’Connell, Donal. Wed . "Kerr black holes as elementary particles". United States. doi:10.1007/JHEP01(2020)046. https://www.osti.gov/servlets/purl/1596096.
@article{osti_1596096,
title = {Kerr black holes as elementary particles},
author = {Arkani-Hamed, Nima and Huang, Yu-tin and O’Connell, Donal},
abstractNote = {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 \( \sqrt{\mathrm{Kerr}} \). In this note, we identify the origin of this shift as arising from the exponentiation of spin operators for the recently defined “minimally coupled” three-particle 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 \( \sqrt{\mathrm{Kerr}} \) is reproduced by a charged spinning particle; the shift of the Coloumb potential is matched to the exponentiated spin-factor 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.},
doi = {10.1007/JHEP01(2020)046},
journal = {Journal of High Energy Physics (Online)},
number = [1],
volume = [2020],
place = {United States},
year = {2020},
month = {1}
}

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Works referenced in this record:

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