nLab Kerr-Newman spacetime

Idea

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Related concepts

black hole spacetimes	vanishing angular momentum	positive angular momentum
vanishing charge	Schwarzschild spacetime	Kerr spacetime
positive charge	Reissner-Nordstrom spacetime	Kerr-Newman spacetime

black hole spacetimes with dark energy	vanishing angular momentum	positive angular momentum
vanishing charge	Schwarzschild-de Sitter spacetime	Kerr-de Sitter spacetime
positive charge	Reissner-Nordström-de Sitter spacetime	Kerr-Newman-de Sitter spacetime

wormhole spacetimes	vanishing angular momentum
vanishing charge	Schwarzschild wormhole
positive charge	Reissner-Nordström wormhole

References

General

• Tim Adamo, E. T. Newman, The Kerr-Newman metric: A Review, Scholarpedia 9: 31791 (2014) [arXiv:1410.6626, doi:10.4249/scholarpedia.31791, pdf]

• Wikipedia, Kerr-Newman metric

Matching KN black holes to elementary particles

On the similarity between Kerr-Newman black holes (charged and spinning “black 0-branes”) and elementary particles (sigma-model 0-branes) like electrons.

Historical precursor discussion on the possibility of geometrodynamics for fundamental particles:

• Albert Einstein, Leopold Infeld, B. Hoffmann, The gravitational equations and the problem of motion, Annals of Mathematics 39 1 (1938) [doi:10.2307/1968714, jstor:1968714]

Seminal observation that the gyromagnetic ratio of the Kerr-Newman black hole is 2, just as the for electron (cf. at anomalous magnetic moment):

• Brandon Carter, p. 1562 of: Global Structure of the Kerr Family of Gravitational Fields, Phys. Rev. 174 (1968) 1559 [doi:10.1103/PhysRev.174.1559]

• Werner Israel, Source of the Kerr Metric, Phys. Rev. D 2 641 (1970) [doi:10.1103/PhysRevD.2.641]

Further discussion:

• Carlos A. López, Extended model of the electron in general relativity, Phys. Rev. D 30 313 (1984) [doi:10.1103/PhysRevD.30.313]

• H. I. Arcos, J. G. Pereira: Kerr–Newman Solution as a Dirac Particle, General Relativity and Gravitation 36 (2004) 2441–2464 [doi:10.1023/B:GERG.0000046832.71368.a5, arXiv:hep-th/0210103]

• Alexander Burinskii, The Dirac-Kerr-Newman electron, Gravit. Cosmol. 14 (2008) 109–122 [doi:10.1134/S0202289308020011, arXiv:hep-th/0507109]

• Alexander Burinskii, Kerr–Newman electron as spinning soliton, International Journal of Modern Physics A 29 26, 1450133 (2014) [doi:10.1142/S0217751X14501334, arXiv:1410.2888]

See also:

• Wikipedia, Black hole electron