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We present and analyze a class of exact spacetimes which describe accelerating black holes with a NUT parameter. First, we verify that the intricate metric found by Chng, Mann and Stelea in 2006 indeed solves Einstein's vacuum field…

General Relativity and Quantum Cosmology · Physics 2020-10-14 Jiri Podolsky , Adam Vratny

The complete family of exact solutions representing accelerating and rotating black holes with possible electromagnetic charges and a NUT parameter is known in terms of a modified Plebanski-Demianski metric. This demonstrates the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. B. Griffiths , J. Podolsky

We compute area (or entropy) product formula for Newman-Unti-Tamburino (NUT) class of black holes. Specifically, we derive the area product of outer horizon and inner horizon (${ \mathcal{H}}^{\pm }$) for Taub-NUT, Euclidean Taub-NUT black…

General Relativity and Quantum Cosmology · Physics 2020-06-29 Parthapratim Pradhan

We obtain rotating black hole solutions to the Einstein-Maxwell equations with the cosmological constant. There are eight parameters in the solutions. They are the physical mass $M$, the electric charge $Q$, the specific angular momentum…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Changjun Gao

We study Killing horizons and their neighbourhoods in the Kerr-NUT-(anti-)de Sitter and the accelerated Kerr-NUT-(anti-)de Sitter spacetimes. The geometries of the horizons have an irremovable singularity at one of the poles, unless the…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Jerzy Lewandowski , Maciej Ossowski

It is shown that the Kerr-Newman solution, representing charged and rotating stationary black holes, admits analytic extension at the singularity. This extension is obtained by using new coordinates, in which the metric tensor becomes…

General Relativity and Quantum Cosmology · Physics 2017-01-31 Ovidiu-Cristinel Stoica

Charged and/or rotating black holes in General Relativity feature Cauchy horizons, which indicate a breakdown of predictability in the theory. Focusing on spherically symmetric charged black holes, we remark that the inevitability of…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Tomáš Hale , Robie A. Hennigar , David Kubiznak

In astronomy, gravitational lensing of light leads to the formation of multiple images, arcs, Einstein rings, and, most important, the shadow of black holes. Analogously in the vicinity of a massive compact object massive particles,…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Torben C. Frost

We show that linear scalar waves are bounded and continuous up to the Cauchy horizon of Reissner-Nordstr\"om-de Sitter and Kerr-de Sitter spacetimes, and in fact decay exponentially fast to a constant along the Cauchy horizon. We obtain our…

Analysis of PDEs · Mathematics 2020-05-28 Peter Hintz , Andras Vasy

We study a class of limits of the higher-dimensional Kerr-NUT-(A)dS spacetimes where particular roots of metric functions degenerate. Namely, we obtain the Taub-NUT-(A)dS and the extreme near-horizon geometries as two examples of our…

General Relativity and Quantum Cosmology · Physics 2017-07-06 Ivan Kolar , Pavel Krtous

It is explicitly shown that part of the C-metric space-time inside the black hole horizon may be interpreted as the interaction region of two colliding plane waves with aligned linear polarization, provided the rotational coordinate is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. B. Griffiths , R. G. Halburd

We present a general procedure, based on the Ehlers transformation of the Ernst equations, to add the gravitomagnetic mass to the whole Plebanski-Demianski family of solutions. We can efficiently generate a large class of accelerating black…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Marco Astorino , Giovanni Boldi

We consider solutions to the linear wave equation on a suitable globally hyperbolic subset of an extreme Reissner-Nordstrom spacetime, arising from regular initial data prescribed on a Cauchy hypersurface crossing the future event horizon.…

Analysis of PDEs · Mathematics 2011-10-11 Stefanos Aretakis

We derive a correspondence between the Hawking radiation spectra emitted from general classes of Taub-NUT black holes with that induced by the relativistic motion of an accelerated Dirichlet boundary condition (i.e.\ a perfectly reflecting…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Joshua Foo , Michael R. R. Good , Robert B. Mann

In this paper we investigate the equatorial causal (time-like and null) circular geodesics of the Kerr-Newman-Taub-NUT(Newman-Unti-Tamburino) black hole in four dimensional Lorentzian geometry. The special characteristics of this black hole…

General Relativity and Quantum Cosmology · Physics 2015-07-27 Parthapratim Pradhan

In the present article, we have obtained an exact analytical solution of six-dimensional pure Gauss-Bonnet gravity in the presence of both NUT and Maxwell charges. The topology of the horizon is chosen to be the product of two 2-spheres.…

General Relativity and Quantum Cosmology · Physics 2025-05-30 Sajal Mukherjee , Subhajit Barman

This paper investigates the integrability properties of Einstein's theory of gravity in the context of accelerating Newman-Unti-Tamburino (NUT) spacetimes by utilizing Ernst's description of stationary and axially symmetric electrovacuum…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Jose Barrientos , Adolfo Cisterna

Using the general solution to the Einstein equations on intersecting null surfaces developed by Hayward, we investigate the non-linear instability of the Cauchy horizon inside a realistic black hole. Making a minimal assumption about the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Patrick R Brady , Chris M Chambers

The colliding plane wave metric discovered by Ferrari and Iba\~{n}ez to be locally isometric to the interior of a Schwarzschild black hole is extended to the case of general axion-dilaton black holes. Because the transformation maps either…

High Energy Physics - Theory · Physics 2009-10-30 Patricia Schwarz

I describe a new algorithm for solving nonlinear wave equations. In this approach, evolution takes place on characteristic hypersurfaces. The algorithm is directly applicable to electromagnetic, Yang-Mills and gravitational fields and other…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jeffrey Winicour
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