## Abstract

We discuss the limit of vanishing G (Newton's constant of universal gravitation) of the maximal analytically extended Kerr-Newman electrovacuum spacetimes represented in Boyer-Lindquist coordinates. We investigate the topologically nontrivial spacetime M 0 emerging in this limit and show that it consists of two copies of flat Minkowski spacetime cross-linked at a timelike solid cylinder (spacelike 2-disk × timelike R). As G → 0, the electromagnetic fields of the Kerr-Newman spacetimes converge to nontrivial solutions of Maxwell's equations on this background spacetime M 0. We show how to obtain these fields by solving Maxwell's equations with singular sources supported only on a circle in a spacelike slice of M 0. These sources do not suffer from any of the pathologies that plague the alternate sources found in previous attempts to interpret the Kerr-Newman fields on the topologically simple Minkowski spacetime. We characterize the singular behavior of these sources and prove that the Kerr-Newman electrostatic potential and magnetic scalar potential are the unique solutions of the Maxwell equations among all functions that have the same blow-up behavior at the ring singularity.

Original language | English (US) |
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Article number | 042501 |

Journal | Journal of Mathematical Physics |

Volume | 56 |

Issue number | 4 |

DOIs | |

State | Published - Apr 3 2015 |

## All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics