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We consider a stationary metric immersed in a uniform magnetic field and determine general expressions for the epicyclic frequencies of charged particles. Applications to the Kerr--Newman black hole is reach of physical consequences and…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Mustapha Azreg-Aïnou

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

We compute the classical effective action of color charges moving along worldlines by integrating out the Yang-Mills gauge field to next-to-leading order in the coupling. An adapted version of the Bern-Carrasco-Johansson (BCJ) double-copy…

High Energy Physics - Theory · Physics 2019-01-17 Jan Plefka , Jan Steinhoff , Wadim Wormsbecher

We construct a two-dimensional action that is an extension of spherically symmetric Einstein-Lanczos-Lovelock gravity. The action contains arbitrary functions of the areal radius and the norm squared of its gradient, but the field equations…

General Relativity and Quantum Cosmology · Physics 2017-06-13 Gabor Kunstatter , Hideki Maeda , Tim Taves

Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild(-Droste) solution, and into one specific stationary axially symmetric…

General Relativity and Quantum Cosmology · Physics 2015-03-10 Christian Heinicke , Friedrich W. Hehl , .

We consider a 5-dimensional action which is composed of a gravitational sector and a sector of matter, where the gravitational sector is given by a Einstein-Chern-Simons gravity action instead of the Einstein-Hilbert action. We obtain the…

General Relativity and Quantum Cosmology · Physics 2014-01-09 Cristian Quinzacara , Patricio Salgado

We present an exact solution of Einstein's equation that describes the gravitational shockwave of a massless particle on the horizon of a Kerr-Newman black hole. The backreacted metric is of the generalized Kerr-Schild form and is Type II…

General Relativity and Quantum Cosmology · Physics 2019-02-06 Yoni BenTov , Joe Swearngin

We establish an exact formulation for wave scattering of a massless field with spin and charge by a Kerr-Newman-de Sitter black hole. Our formulation is based on the exact solution of the Teukolsky equation in terms of the local Heun…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Hayato Motohashi , Sousuke Noda

The problem of merging in black holes the rotation and a massless scalar field is treated. It is argued in the comment that the Kerr-like and Demianski-like metrics in General Relativity with a free massless scalar field or in the free…

General Relativity and Quantum Cosmology · Physics 2013-06-26 Yu. F. Pirogov

In this work, we employ Ordinary Differential Equation solution method to study neutrino spin oscillations in the case when they are gravitationally scattered off a rotating Kerr black hole. Previously, this problem involved the integral…

High Energy Physics - Phenomenology · Physics 2025-10-31 Mridupawan Deka , Maxim Dvornikov

The Kerr-Newman spinning particle displays some remarkable relations to the Dirac electron and has a reach spinor structure which is based on a twistorial description of the Kerr congruence determined by the Kerr theorem. We consider the…

High Energy Physics - Theory · Physics 2008-11-26 Alexander Burinskii

We study strong gravitational lensing in rotating space-times which can be thought of as realistic galactic models in General Relativity. To this end, using the Newman-Janis algorithm, we first obtain a rotating version of a static galactic…

General Relativity and Quantum Cosmology · Physics 2018-04-20 Pritam Banerjee , Suvankar Paul , Tapobrata Sarkar

It is now widely accepted that the universe as we understand it is accelerating in expansion and fits the de Sitter model rather well. As such, a realistic assumption of black holes must place them on a de Sitter background and not…

General Relativity and Quantum Cosmology · Physics 2011-04-04 Sarp Akcay , Richard Matzner

A new formulation of Carter's constant for geodesic motion in Kerr black holes is given. It is shown that Carter's constant corresponds to the total angular momentum plus a precisely defined part which is quadratic in the linear momenta.…

General Relativity and Quantum Cosmology · Physics 2009-05-12 Kjell Rosquist , Tomas Bylund , Lars Samuelsson

Behaviour of singularities of the rotating black holes under an arbitrary boost is considered on the basis of a complex representation of the Kerr theorem. We give a simple algorithm allowing to get explicit expressions for the metric and…

High Energy Physics - Theory · Physics 2011-04-15 Alexander Burinskii , Giulio Magli

It was recently shown that (near-)extremal Kerr black holes are sensitive probes of small higher-derivative corrections to general relativity. In particular, these corrections produce diverging tidal forces on the horizon in the extremal…

High Energy Physics - Theory · Physics 2024-05-31 Gary T. Horowitz , Maciej Kolanowski , Grant N. Remmen , Jorge E. Santos

Vector-tensor theories beyond General Relativity have widely been studied in the context of ultraviolet completion of gravity, endowing a mass to the graviton and explaining dark energy phenomena. We here construct rotating black hole…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Siddarth Ajith , Alexander Saffer , Kent Yagi

The closed-form expression for pure $\mathcal{R}^{2}$ vacuum solution obtained in Phys. Rev. D \textbf{107}, 104008 (2023) lends itself to a generalization to axisymmetric setup via the modified Newman--Janis algorithm. We adopt the…

General Relativity and Quantum Cosmology · Physics 2023-12-01 Mustapha Azreg-Aïnou , Hoang Ky Nguyen

We study the null geodesics in the extremal Kerr-Newman exterior. We clarify the roots of the radial potential and obtain the parameter space of the azimuthal angular momentum and the Carter constant of the light rays for varieties of the…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Bo-Ruei Chen , Tien Hsieh , Da-Shin Lee

We give an explicit closed form description of the late-time near-horizon approach to dynamical extreme Reissner-Nordstrom (DERN) black holes. These are spherically symmetric dynamical solutions of Einstein-Maxwell theory coupled to a…

High Energy Physics - Theory · Physics 2026-01-26 Achilleas P. Porfyriadis , Christopher Rosen , Georgios Tsaraktsidis