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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

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

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 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

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 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

Based on the Newman-Janis algorithm the Ayon-Beato-Garcia spacetime metric of the regular spherically symmetric, static and charged black hole has been converted into rotational form. It is shown that the derived solution for rotating…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Bobir Toshmatov , Bobomurat Ahmedov , Ahmadjon Abdujabbarov , Zdenek Stuchlik

We drop the complexification procedure from the Newman-Janis algorithm and introduce more physical arguments and symmetry properties, and we show how one can generate regular and singular rotating black hole and non-black-hole solutions in…

General Relativity and Quantum Cosmology · Physics 2014-09-25 Mustapha Azreg-Aïnou

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

We address a specific issue of the Newman-Janis algorithm: How to determine the general form of the complex transformation for the Schwarzschild metric and ensure that the resulting axisymmetric metric satisfies the zero-scalar-curvature…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Chen Lan , Zi-Xiao Liu , Yan-Gang Miao

Motivated by quantum-gravity scenarios that replace the classical black hole singularity with a regular core, and by the possibility that the dark-energy sector may be scale dependent, we construct a broad class of nonsingular rotating…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Ramon Torres

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

The formation of spacetime singularities is a quite common phenomenon in General Relativity and it is regulated by specific theorems. It is widely believed that spacetime singularities do not exist in Nature, but that they represent a…

General Relativity and Quantum Cosmology · Physics 2013-04-08 Cosimo Bambi , Leonardo Modesto

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

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

In this paper we complete the program of the noncomutative geometry inspired black holes, providing the richest possible solution, endowed with mass, charge and angular momentum. After providing a prescription for employing the Newman-Janis…

General Relativity and Quantum Cosmology · Physics 2010-12-13 Leonardo Modesto , Piero Nicolini

The Newman-Janis (NJ) algorithm has been extensively used in the literature to generate rotating black hole solutions from nonrotating seed spacetimes. In this work, we show, using various constants of motion, that the null geodesic…

General Relativity and Quantum Cosmology · Physics 2019-07-18 Rajibul Shaikh

We construct series of solutions for the Kerr-type rotating black hole with non-trivial matter in flat and (A)dS backgrounds. Symmetry arguments and singularity analysis in the proposed black hole models fix the free parameters of the…

High Energy Physics - Theory · Physics 2024-11-13 A. J. Nurmagambetov

We study some general properties of two black hole solutions in Einstein's conformal gravity. Both solutions can be obtained from the Kerr metric with a suitable conformal rescaling, which leads, respectively, to a regular and a singular…

General Relativity and Quantum Cosmology · Physics 2018-06-25 Qiqi Zhang , Leonardo Modesto , Cosimo Bambi

We consider the regular black holes solution with cosmic strings(RBHCS) in the rotation parameter by assuming the Newman-Janis method. After this, we study thermodynamical property (i.e., Hawking temperature $T_H$) for the RBHCS in the…

General Relativity and Quantum Cosmology · Physics 2022-07-22 Riasat Ali , Rimsha Babar , Muhammad Asgher , Xia Tie-Cheng
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