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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

A REDUCE code for the Newman-Janis algorithm is described. This algorithm is intended to include rotation into nonrotating solutions of the Einstein field equations with spherically symmetry or perturbed spherically symmetry and has been…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Carlos Gutierrez-Chavez , Francisco Frutos-Alfaro , Ivan Cordero-Garcia

In this review we present the most general form of the Janis--Newman algorithm. This extension allows to generate configurations which contain all bosonic fields with spin less than or equal to two (real and complex scalar fields, gauge…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Harold Erbin

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 Demia\'nski-Janis-Newman algorithm is an original solution generating technique. For a long time it has been limited to producing rotating solutions, restricting to the case of a metric and real scalar fields, despite the fact that…

High Energy Physics - Theory · Physics 2015-10-28 Harold Erbin , Lucien Heurtier

The Newman-Janis algorithm has been widely used to construct rotating black hole solutions from non-rotating counterparts. While this algorithm was developed within General Relativity, it has more recently been applied to non-rotating…

General Relativity and Quantum Cosmology · Physics 2014-01-21 Devin Hansen , Nicolas Yunes

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

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

The strong gravitational field near massive blackhole is an interesting regime to test General Relativity(GR) and modified gravity theories. The knowledge of spacetime metric around a blackhole is a primary step for such tests. Solving…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Utkarsh Kumar , Sukanta Panda , Avani Patel

The Janis-Newman algorithm has been shown to be successful in finding new sta- tionary solutions of four-dimensional gravity. Attempts for a generalization to higher dimensions have already been found for the restricted cases with only one…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Harold Erbin , Lucien Heurtier

The Newman-Janis trick is a procedure, (not even really an ansatz), for obtaining the Kerr spacetime from the Schwarzschild spacetime. This 50 year old trick continues to generate heated discussion and debate even to this day. Most of the…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Del Rajan , Matt Visser

It's shown that the rotating dilaton-axion black hole solution can be obtained from GGHS static charged dilaton black hole solution via Newman-Janis method.

General Relativity and Quantum Cosmology · Physics 2010-11-19 S. Yazadjiev

We present a family of new rotating black hole solutions to Einstein's equations that generalizes the Kerr-Newman spacetime to include an anisotropic matter. The geometry is obtained by employing the Newman-Janis algorithm. In addition to…

General Relativity and Quantum Cosmology · Physics 2020-04-08 Hyeong-Chan Kim , Bum-Hoon Lee , Wonwoo Lee , Youngone Lee

Starting from Clifton's spherical static solution for f(R)-gravity we can derive axial symmetric solutions using a methods that takes the advantage of a complex coordinate transformation. The new solutions are generated by applying the…

General Relativity and Quantum Cosmology · Physics 2011-11-10 Mariafelicia De Laurentis

We demonstrate that the generic charged rotating regular black hole solutions of general relativity coupled to non-linear electrodynamics, obtained by using the alternate Newman-Janis algorithm, introduces only small (on level $10^{-2}$)…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Bobir Toshmatov , Zdeněk Stuchlík , Bobomurat Ahmedov

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

Obtaining solutions of the Einstein field equations describing spinning compact bodies is typically challenging. The Newman-Janis algorithm provides a procedure to obtain rotating spacetimes from a static, spherically symmetric, seed…

General Relativity and Quantum Cosmology · Physics 2020-11-17 Haroldo C. D. Lima Junior , Luís C. B. Crispino , Pedro V. P. Cunha , Carlos A. R. Herdeiro

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

In this paper, we find Kerr solution accompanied with a nontrivial vector field as a solution to one of the simplest vector-tensor theories of gravity, namely the bumblebee model with an intriguing coupling constant between the Ricci…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Rui Xu , Zhan-Feng Mai , Dicong Liang

In this thesis, we explore the subject of complex spacetimes, in which the mathematical theory of complex manifolds gets modified for application to General Relativity. We will also explore the mysterious Newman-Janis trick, which is an…

General Relativity and Quantum Cosmology · Physics 2017-03-28 Del Rajan
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