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Related papers: Newman-Janis Algorithm from Taub-NUT Instantons

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It is shown that a complex coordinate transformation maps the Taub-NUT instanton metric to a Kerr-Schild metric. This metric involves a semi-infinite line defect as the gravitational analog of the Dirac string, much like the original…

High Energy Physics - Theory · Physics 2024-12-24 Joon-Hwi Kim

Newman-Janis algorithm for Kerr-Newman geometry is reanalyzed in the light of Cartan calculus.

General Relativity and Quantum Cosmology · Physics 2014-04-09 Rafael Ferraro

After the original discovery of the Kerr metric, Newman and Janis showed that this solution could be ``derived'' by making an elementary complex transformation to the Schwarzschild solution. The same method was then used to obtain a new…

General Relativity and Quantum Cosmology · Physics 2010-12-03 S. P. Drake P. Szekeres

The Newman-Janis algorithm is supplemented with a null rotation and applied to the tensors of the Reissner-Nordstr\"om spacetime to generate the metric, Maxwell, Ricci and Weyl tensors for the Kerr-Newman spacetime. This procedure also…

General Relativity and Quantum Cosmology · Physics 2014-07-18 Aidan J. Keane

The Newman-Janis algorithm is well known to provide rotating black holes solutions to Einstein's equations from static seeds, through a complexification of a radial and a time coordinates. However, an ambiguity remains for the replacement…

General Relativity and Quantum Cosmology · Physics 2015-05-19 E. J. Gonzalez de Urreta , M. Socolovsky

The purpose of the present article is to show that the Newman-Janis and Newman et al algorithm used to derive the Kerr and Kerr-Newman metrics respectively, automatically leads to the extension of the initial non negative polar radial…

General Relativity and Quantum Cosmology · Physics 2015-06-19 O. Brauer , H. A. Camargo , M. Socolovsky

It was recently conjectured that a certain vacuum Kerr-Schild spacetime, which may be regarded as a self-dual analog of the Kerr metric, is equivalent to the self-dual Taub-NUT instanton. We confirm this conjecture by applying the…

High Energy Physics - Theory · Physics 2024-05-28 Jash Desai , Gabriel Herczeg , David McNutt , Max Pezzelle

We examine the Newman-Janis algorithm's application to an exact regular static solution sustained by a minimally coupled scalar field with a non-standard kinetic term. Although coordinate complexification leads to a regular Kerr-like black…

General Relativity and Quantum Cosmology · Physics 2023-06-16 Alexander Kamenshchik , Polina Petriakova

The Newman-Janis Ansatz was used first to obtain the stationary Kerr metric from the static Schwarzschild metric. Many works have been devoted to investigate the physical significance of this Ansatz, but no definite answer has been given so…

General Relativity and Quantum Cosmology · Physics 2016-08-05 Antonio C. Gutiérrez-Piñeres , Hernando Quevedo

Electric-magnetic duality, the Newman-Janis shift, and the double copy all act by elementary operations on three-point amplitudes. At the same time, they generate a network of interesting classical solutions spanning from the Coulomb charge…

High Energy Physics - Theory · Physics 2020-10-20 William T. Emond , Yu-tin Huang , Uri Kol , Nathan Moynihan , Donal O'Connell

The Newman-Janis algorithm and its generalizations can be used mathematically to generate rotating solutions from nonrotating spherically-symmetric solutions within general relativity. The energy-momentum tensors of these solutions may or…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Philip Beltracchi , Paolo Gondolo

We show that the Newman-Janis shift property of the exact Kerr solution can be interpreted in terms of a worldsheet effective action. This holds both in gravity, and for the single-copy $\sqrt{\text{Kerr}}$ solution in electrodynamics. At…

High Energy Physics - Theory · Physics 2021-03-24 Alfredo Guevara , Ben Maybee , Alexander Ochirov , Donal O'Connell , Justin Vines

Starting from the generic harmonic superspace action of the quaternion-K\"ahler sigma models and using the quotient approach we present, in an explicit form, a quaternion-K\"ahler extension of the double Taub-NUT metric. It possesses…

High Energy Physics - Theory · Physics 2009-11-07 Pierre-Yves Casteill , Evgeny Ivanov , Galliano Valent

In this paper, we study self-dual gravity in the Newman-Penrose formalism. We specify the self-dual solution space from the Newman-Unti solutions. We show that the asymptotic symmetries of the self-dual gravity are still the (extended) BMS…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Pujian Mao , Weicheng Zhao

We implement a probe counterpart of Newman-Janis algorithm, which Wick rotates the all-orders geodesic deviation equation into a part of exact spinning-particle equations of motion. Consequently, the gravitational dynamics of the Kerr black…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Joon-Hwi Kim

The Newman-Janis algorithm is the standard approach to rotation in general relativity which, in vacuum, builds the Kerr metric from the Schwarzschild spacetime. Recently, we have shown that the same algorithm applied to the Papapetrou…

General Relativity and Quantum Cosmology · Physics 2023-05-03 Maxim Makukov , Eduard Mychelkin

A family of models of counterrotating and rotating relativistic thin discs of infinite extension based on a charged and magnetized Kerr-NUT metric are constructed using the well-known "displace, cut and reflect" method extended to solutions…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Gonzalo García-Reyes , Guillermo A. González

We present a simple approach for obtaining Kerr interior solutions with the help of the Newman-Janis algorithm (NJA) starting with static space-times describing physically sensible interior Schwarzschild solutions. In this context, the…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Stefano Viaggiu

The Kerr-Newman metric describes a very special rotating, charged mass and is the most general of the asymptotically flat stationary 'black hole' solutions to the Einstein-Maxwell equations of general relativity. We review the derivation of…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Tim Adamo , E. T. Newman

The Janis-Newman algorithm is an old but very powerful tool to generate rotating solutions from static ones through a set of complex coordinate transformations. Several solutions have been derived in this way, including solutions with gauge…

General Relativity and Quantum Cosmology · Physics 2015-02-17 Harold Erbin
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