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Related papers: An extension of the Newman-Janis algorithm

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The explicit form for the post-Newtonian gravitational time delay of light signals propagating on the equatorial plane of a Kerr-Newman black hole is derived. Based on the null geodesic in Kerr-Newman spacetime, we adopt the iterative…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Guansheng He , Wenbin Lin

We explore the symmetries of classical stationary spacetimes in terms of the dynamics of a spinning string described by a worldsheet supersymmetric action. We show that for stationary configurations of the string, the action reduces to that…

High Energy Physics - Theory · Physics 2014-11-18 Haji Ahmedov , Alikram N. Aliev

In 1963 Ezra Ted Newman and his two students Louis A. Tamburino, and Theodore W. J. Unti, proposed a deformation of the Shwarzschild spacetime that made it twisting. In the cosmological context, an equivalent solution had been found…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Jerzy Lewandowski , Maciej Ossowski

We obtain a closed formula for the Kaehler potential of a broad class of four-dimensional Lorentzian or Euclidean conformal "Kaehler" geometries, including the Plebanski-Demianski class and various gravitational instantons such as…

General Relativity and Quantum Cosmology · Physics 2023-05-03 Steffen Aksteiner , Bernardo Araneda

In this paper we develop a new framework for non-linear perturbations of the Kerr spacetime. This is based on a characterization of the Kerr spacetime in terms of a Killing spinor. On the perturbed spacetime, one can construct an…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Thomas Bäckdahl

We establish several relationships between the non-relativistic conformal symmetries of Newton-Cartan geometry and the Schr\"odinger equation. In particular we discuss the algebra $\mathfrak{sch}(d)$ of vector fields conformally-preserving…

Mathematical Physics · Physics 2016-07-26 James Gundry

Motivated by the hindrance of defining metric tensors compatible with the underlying spinor structure, other than the ones obtained via a conformal transformation, we study how some geometric objects are affected by the action of a…

General Relativity and Quantum Cosmology · Physics 2019-10-15 Iarley P. Lobo , Gabriel G. Carvalho

We consider the Klein-Gordon equation in generalized higher-dimensional Kerr-NUT-(A)dS spacetime without imposing any restrictions on the functional parameters characterizing the metric. We establish commutativity of the second-order…

High Energy Physics - Theory · Physics 2008-11-26 Artur Sergyeyev , Pavel Krtous

We introduce a systematic and direct procedure to generate hairy rotating black holes by deforming a spherically symmetric seed solution. We develop our analysis in the context of the gravitational decoupling approach, without resorting to…

General Relativity and Quantum Cosmology · Physics 2021-02-12 E. Contreras , J. Ovalle , R. Casadio

The problem of obtaining an explicit representation for the fourth invariant of geodesic motion (generalized Carter constant) of an arbitrary stationary axisymmetric vacuum spacetime generated from an Ernst Potential is considered. The…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Jeandrew Brink

We present a large family of twisting and expanding solutions to the Einstein-Maxwell equations of algebraic type D, for which the two double principal null directions (PNDs) of the Weyl tensor are not aligned with the null eigendirections…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Hryhorii Ovcharenko , Jiří Podolský

We generalize to the Kerr spacetime existing self-force results on tidal invariants for particles moving along circular orbits around a Schwarzschild black hole. We obtain linear-in-mass-ratio corrections to the quadratic and cubic…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Donato Bini , Andrea Geralico

The approximation of the renormalized stress-energy tensor of the quantized massive scalar, spinor, and vector field in the Reissner- Nordstrom spacetime is constructed. It is achieved by functional differentiation of the lowest order of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jerzy Matyjasek

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

A class of solutions in $d$-dimensional Einstein gravity minimally coupled to a massless scalar field is studied, where the spacetime metric is of a generalized Weyl form with $d-2$ commuting Killing vectors. In addition to the procedure to…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Yen-Kheng Lim

The Janis-Newman algorithm has been shown to be successful in finding new sta- tionary solutions of four-dimensional gravity. Attempts for a generalization to higher dimensions have already been found for the restricted cases with only one…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Harold Erbin , Lucien Heurtier

Recently it was shown that the conserved charges of asymptotically anti de Sitter spacetimes can be written in an explicitly gauge-invariant way in terms of the linearized Riemann tensor and the Killing vectors. Here we employ this…

High Energy Physics - Theory · Physics 2020-05-06 Emel Altas

We develop an analytic model that extends classical white hole geometry by incorporating both radiative dynamics and electric charge. Starting from a maximal analytic extension of the Schwarzschild white hole via Kruskal Szekeres…

General Relativity and Quantum Cosmology · Physics 2025-05-30 Qingyao Zhang

We present a new class of expanding and twisting solutions to the Einstein-Maxwell equations of algebraic type D, where the null eigendirections of the Faraday tensor are not aligned with PNDs of the Weyl tensor. After deriving this novel…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Hryhorii Ovcharenko , Jiri Podolsky

We consider four-dimensional, Riemannian, Ricci-flat metrics for which one or other of the self-dual or anti-self-dual Weyl tensors is type-D. Such metrics always have a valence-2 Killing spinor, and therefore a Hermitian structure and at…

General Relativity and Quantum Cosmology · Physics 2021-10-28 Paul Tod
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