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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

In this paper, we start from a static black hole (BH) immersed in a Deanne-type dark matter (DM) halo and employ the Newman-Janis algorithm (NJA) to generate the rotating black hole solution with a dark matter halo. Also, we have checked…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Uktamjon Uktamov , Sanjar Shaymatov , Bobomurat Ahmedov , Chengxun Yuan

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

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

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

The equations of motion of massive test particles near Kerr black holes are separable in Boyer-Lindquist coordinates, as established by Carter. This separability, however, is lost when the particles are endowed with classical spin. We show…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Viktor Skoupý , Vojtěch Witzany

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

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 present analytical solutions of the geodesic equations of test particles and light in the five dimensional singly spinning black ring spacetime for special cases, since it does not appear possible to separate the Hamilton-Jacobi-equation…

General Relativity and Quantum Cosmology · Physics 2012-12-05 Saskia Grunau , Valeria Kagramanova , Jutta Kunz , Claus Lämmerzahl

In curved space-time, Hamilton-Jacobi equation is a semi-classical particle's motion equation, which plays an important role in the research of black hole physics. In this paper, starting from Dirac equation describing the spin 1/2 fermion…

General Relativity and Quantum Cosmology · Physics 2017-05-24 Guo-Ping Li , Zhong-Wen Feng , Hui-Ling Li , Xiao-Tao Zu

In this work, we introduce a family of rotating black bounces with an anisotropic fluid obtained by using a modified Newman-Janis algorithm. We analyze the main features of these spacetimes and obtain the geodesics for photons, which admit…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Ernesto F. Eiroa , Juan M. Paez

We examine the separability properties of the equation of motion for a stationary string near a rotating charged black hole with two independent angular momenta in five-dimensional minimal gauged supergravity. It is known that the…

High Energy Physics - Theory · Physics 2009-02-20 Haji Ahmedov , Alikram N. Aliev

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

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

Recently, two new spherically symmetric black hole models with covariance have been proposed in effective quantum gravity. Based on these models, we use the modified Newman-Janis algorithm to generate two rotating quantum-corrected black…

General Relativity and Quantum Cosmology · Physics 2024-11-15 Zhenglong Ban , Jiawei Chen , Jinsong Yang

A compact stellar-mass object inspiralling onto a massive black hole deviates from geodesic motion due to radiation-reaction forces as well as finite-size effects. Such post-geodesic deviations need to be included with sufficient precision…

General Relativity and Quantum Cosmology · Physics 2019-11-22 Vojtěch Witzany

We add a prescription to the Newman-Janis algorithm in order to use it as a means of finding new extended (`through r<0') rotating black hole spacetimes from static spherically symmetric ones. Then, we apply the procedure to a quantum…

General Relativity and Quantum Cosmology · Physics 2017-05-17 R. Torres

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

We find a charged spherically symmetric black hole solution with the existence of a cloud of strings and quintessential matter. Then we apply the Demianski-Newman-Janis algorithm to generate the rotating and twisting counterpart. The…

General Relativity and Quantum Cosmology · Physics 2021-06-24 Muhammad Fitrah Alfian Rangga Sakti , Hadyan Lutfan Prihadi , Agus Suroso , Freddy Permana Zen