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Related papers: Janis-Newman algorithm: generating rotating and NU…

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The Newman-Janis (NJ) method is a prescription to derive the Kerr space-time from the Schwarzschild metric. The BTZ, Kerr and five-dimensional Myers-Perry (MP) black hole solutions have already been generated by different versions of the NJ…

General Relativity and Quantum Cosmology · Physics 2020-03-19 Masoumeh Tavakoli , Behrouz Mirza

We consider Einstein gravity extended with quadratic curvature invariants, where the well-known Ricci-flat Taub-NUT black hole remains a solution. An analysis of the unstable Lichnerowicz modes in the Taub-NUT background enables us to…

General Relativity and Quantum Cosmology · Physics 2024-06-07 Yu-Qi Chen , Hai-Shan Liu

Respecting the angular momentum conservation of torque-free systems, it is natural to consider rotating solutions of massive objects. Besides that, motivated by the realistic astrophysical black holes that rotate, we use the Newman-Janis…

General Relativity and Quantum Cosmology · Physics 2021-03-17 S. H. Hendi , S. N. Sajadi , Maryam. Khademi

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

In this work, starting from a spherically symmetric scale--dependent black hole, a rotating solution is obtained by following the Newman--Janis algorithm without complexification. Besides studying the horizon, the static conditions and…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Ernesto Contreras , Ángel Rincón , Grigoris Panotopoulos , Pedro Bargueño , Benjamin Koch

In this article, we considered the strong field approximation of nonlinear electrodynamics black hole and constructed its rotating counterpart by applying the modified Newman-Janis algorithm. The corresponding metric function in the strong…

General Relativity and Quantum Cosmology · Physics 2022-11-23 M. Zubair , Muhammad Ali Raza , Ghulam Abbas

A new metric is obtained by applying a complex coordinate trans- formation to the static metric of the self-gravitating Born-Infeld monopole. The behaviour of the new metric is typical of a rotating charged source, but this source is not a…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Diego Cirilo-Lombardo

We report the discovery of rotating black hole solutions within the framework of de Rham-Gabadadze-Tolley (dRGT) massive gravity. We demonstrate that any nonunitary gauge with the Minkowski reference metric are equal to a unitary gauge with…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Ping Li , Jiang-he Yang

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 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

We present a general procedure, based on the Ehlers transformation of the Ernst equations, to add the gravitomagnetic mass to the whole Plebanski-Demianski family of solutions. We can efficiently generate a large class of accelerating black…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Marco Astorino , Giovanni Boldi

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 show that at 1PN all four-dimensional black hole solutions in asymptotically flat spacetimes can be derived from leading singularities involving minimally coupled three-particle amplitudes. Furthermore, we show that the rotating…

High Energy Physics - Theory · Physics 2020-01-29 Nathan Moynihan

We construct supersymmetric black holes with rotation or NUT charge for the $\overline{\mathbb{C}\text{P}}^n$- and the $\text{t}^3$ model of $N=2$, $D=4$ $\text{U}(1)$ FI-gauged supergravity. The solutions preserve 2 real supercharges,…

High Energy Physics - Theory · Physics 2019-05-01 Nicoletta Daniele , Federico Faedo , Dietmar Klemm , Pedro F. Ramírez

A certain type of matter with anisotropic pressures can add to the Reissner-Nordstr\"om metric a term proportional to a power of the radial coordinate. Using the standard method of separating variables for the Hamilton-Jacobi equation, we…

General Relativity and Quantum Cosmology · Physics 2023-01-30 Javier Badía , Ernesto F. Eiroa

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

In this work we have obtained a charged black hole solution in the presence of perfect fluid dark matter (PFDM) and discuss its energy conditions. The metric corresponding to the rotating avatar of this black hole solution is obtained by…

General Relativity and Quantum Cosmology · Physics 2021-02-23 Anish Das , Ashis Saha , Sunandan Gangopadhyay

In this paper, we generate a rotating charged black hole (BH) with scalar hair via the Newman--Janis algorithm (NJA) and study its thin accretion disk and shadow. The structure of the event horizon and ergosurface is analyzed in detail,…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Ziqiang Cai , Zhenglong Ban , Qi-Qi Liang , Haiyuan Feng , Zheng-Wen Long

The complete family of exact solutions representing accelerating and rotating black holes with possible electromagnetic charges and a NUT parameter is known in terms of a modified Plebanski-Demianski metric. This demonstrates the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. B. Griffiths , J. Podolsky

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