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In this paper we study some features of the Kerr metric both from an analytic and a visual point of view by performing accurate raytracing in various situations. We focus on features that are unique to the maximal analytic extension of the…

General Relativity and Quantum Cosmology · Physics 2021-02-15 Alain Riazuelo

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

We investigate the Dirac equation in Kerr-Newman space-time, using horizon penetrating coordinates (Eddington-Finkelstein-Coordinates) and the Newman-Penrose formalism to separate the equation into radial and angular systems of ordinary…

Analysis of PDEs · Mathematics 2023-02-08 Christoph Krpoun , Olaf Müller

In this paper we present a new public code, named $ynogkm$, for the fast calculation of time-like geodesics in the Kerr-Newmann (K-N) spacetime, which is a direct extension of $ynogk$ calculating null geodesics in a Kerr spacetime.…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Xiao-lin Yang , Jian-cheng Wang

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 revisit the theory of timelike and null geodesics in the (extended) Kerr spacetime. This work is a sequel to a recent paper by Cie\'{s}lik, Hackmann, and Mach, who applied the so-called Biermann-Weierstrass formula to integrate Kerr…

General Relativity and Quantum Cosmology · Physics 2024-10-24 Zuzanna Bakun , Angelika Łukanty , Anastasiia Untilova , Adam Cieślik , Patryk Mach

In this paper we construct four Kerr-like spacetimes starting from the loop black hole Schwarzschild solutions (LBH) and applying the Newman-Janis transformation. In previous papers the Schwarzschild LBH was obtained replacing the Ashtekar…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Francesco Caravelli , Leonardo Modesto

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

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

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 null geodesics that connect the two asymptotically flat regions of the maximally extended Kerr spacetime. These vortical geodesics traverse both horizons and pass through the ring singularity, linking the positive-$r$ exterior to…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Maciej Maliborski , Tobias C. Sutter

Energy extraction from compact objects has been a central topic in general relativity since the introduction of the Penrose process. In this work we present a unified analysis of rotational and electromagnetic energy extraction in Kerr,…

General Relativity and Quantum Cosmology · Physics 2026-03-12 Vishva Patel

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 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

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

In the present paper, the characterization of the Kerr metric found by Marc Mars is extended to the Kerr-Newman family. A simultaneous alignment of the Maxwell field, the Ernst two-form of the pseudo-stationary Killing vector field, and the…

General Relativity and Quantum Cosmology · Physics 2009-07-22 Willie Wai-Yeung Wong

We present two methods to include the asymptotic domain of a background spacetime in null directions for numerical solutions of evolution equations so that both the radiation extraction problem and the outer boundary problem are solved. The…

General Relativity and Quantum Cosmology · Physics 2009-09-24 Anil Zenginoglu , Manuel Tiglio

In this paper we argue that the well-known maximal extensions of the Kerr and Kerr-Newman spacetimes characterized by a specific gluing (on disks) of two asymptotically flat regions with ADM masses of opposite signs are physically…

General Relativity and Quantum Cosmology · Physics 2015-11-06 H. Garcia-Compean , V. S. Manko

Following \cite{dexagol2009} we present a new public code for the fast calculation of null geodesics in the Kerr spacetime. Using Weierstrass' and Jacobi's elliptic functions, we express all coordinates and affine parameters as analytical…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Xiaolin Yang , Jiancheng Wang

In this paper we provide the first non-trivial evidence for universality of the entropy formula $4\pi J_{0}^{+}J_{0}^{-}$ beyond pure Einstein gravity in 4-dimensions. We consider the Einstein-Maxwell theory in the presence of cosmological…

General Relativity and Quantum Cosmology · Physics 2018-05-23 M. R. Setare , H. Adami