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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

We present a new twisted rotating black hole solution by performing Demia{\'n}ski-Newman-Janis algorithm to the electrically and dyonically charged black hole with quintessence in Rastall theory of gravity. Using our black hole solution, we…

General Relativity and Quantum Cosmology · Physics 2020-01-10 M. F. A. R. Sakti , A. Suroso , F. P. Zen

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 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

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

An all-orders worldline effective action for Kerr-Newman black hole is achieved in twistor particle theory. Exact hidden symmetries are identified in self-dual backgrounds.

General Relativity and Quantum Cosmology · Physics 2026-03-10 Joon-Hwi Kim

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

We compute the most general leading-order correction to Kerr solution when the Einstein-Hilbert action is supplemented with higher-derivative terms, including the possibility of dynamical couplings controlled by scalars. The model we…

General Relativity and Quantum Cosmology · Physics 2020-03-06 Pablo A. Cano , Alejandro Ruipérez

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

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

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

Rapidly rotating black hole solutions in theories beyond general relativity play a key role in experimental gravity, as they allow us to compute observables in extreme spacetimes that deviate from the predictions of general relativity. Such…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Robert McNees , Leo C. Stein , Nicolás Yunes

We find an exact spherically symmetric magnetically charged black hole solution to general relativity (GR) coupled to nonlinear electrodynamics (NED) with an appropriate Lagrangian density. In turn, starting with this spherical black hole…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Sushant G. Ghosh , Rahul Kumar walia

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

We study the binary dynamics of two Kerr black holes with arbitrary spin vectors in the presence of parity-even and parity-odd cubic deformations of gravity. We first derive the tree-level Compton amplitudes for a Kerr black hole in cubic…

High Energy Physics - Theory · Physics 2024-08-02 Andreas Brandhuber , Graham R. Brown , Paolo Pichini , Gabriele Travaglini , Pablo Vives Matasan

A new form of the Kerr-Newman solution is presented. The solution involves a time coordinate which represents the local proper time for a charged massive particle released from rest at spatial infinity. The chosen coordinates ensure that…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Michael Hobson

It has been shown that for the Reissner-Nordstrom solution to the vacuum Einstein field equations charge, like mass, has a unique space-time signature [Found. Phys. 38, 293-300 (2008)]. The presence of charge results in a negative…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Gerald E. Marsh

In this paper, we recall some basic facts about the Kerr--Newman--(anti) de Sitter (KNdS) spacetime and review several formulations and integration methods for the geodesic equation of a test particle in such a spacetime. In particular, we…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Arthur Garnier

We derive an effective Kerr metric from an effective Schwarzschild metric inspired by loop quantum gravity through the Newman-Janis algorithm. The resulting spacetime is free from the classical ring singularity and does not allow the…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Francesco Fazzini

We perform a detailed study of the geodesic equations in the spacetime of the static and rotating charged black hole corresponding to the Kerr-Newman-(A)dS spacetime. We derive the equations of motion for test particles and light rays and…

General Relativity and Quantum Cosmology · Physics 2016-08-02 Saheb Soroushfar , Reza Saffari , Sobhan Kazempour , Saskia Grunau , Jutta Kunz
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