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The Kerr solution is generated from the Schwarzschild solution by a simple combination of real global coordinate transformations and of invariance transformations acting on the space of stationary solutions of the Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Gerard Clement

We construct large classes of non-BPS smooth horizonless geometries that are asymptotic to AdS$_3\times$S$^3\times$T$^4$ in type IIB supergravity. These geometries are supported by electromagnetic flux corresponding to D1-D5 charges. We…

High Energy Physics - Theory · Physics 2023-03-22 Ibrahima Bah , Pierre Heidmann

We construct rotating black holes in $N=2$, $D=5$ minimal and matter-coupled gauged supergravity, with horizons that are homogeneous but not isotropic. Such spaces belong to the eight Thurston model geometries, out of which we consider the…

High Energy Physics - Theory · Physics 2023-05-25 Federico Faedo , Silke Klemm , Pietro Mariotti

We initiate the study of non- and ultra-relativistic higher spin theories. For sake of simplicity we focus on the spin-3 case in three dimensions. We classify all kinematical algebras that can be obtained by all possible In\"on\"u--Wigner…

High Energy Physics - Theory · Physics 2017-01-30 Eric Bergshoeff , Daniel Grumiller , Stefan Prohazka , Jan Rosseel

We construct $AdS_3\times Y_7$ solutions of type IIB supergravity, where $Y_7$ is a smooth $S^5$ bundle over a spindle $\Sigma(n_N,n_S)$, which are dual to $\mathcal{N}=(0,2)$ SCFTs in $d=2$. The solutions are constructed using the $D=5$…

High Energy Physics - Theory · Physics 2026-05-21 Igal Arav , Jerome P. Gauntlett , Matthew M. Roberts , Christopher Rosen

Using the Ehlers transformation, we derive an exact solution for a doubly rotating black ring in five-dimensional vacuum Einstein theory. It is well-known that the vacuum Einstein theory with three commuting Killing vector fields can be…

High Energy Physics - Theory · Physics 2024-06-26 Ryotaku Suzuki , Shinya Tomizawa

The strategy of obtaining the familiar Kerr-Newman solution in general relativity is based on either using the metric ansatz in the Kerr-Schild form, or applying the method of complex coordinate transformation to a non-rotating charged…

High Energy Physics - Theory · Physics 2008-11-26 A. N. Aliev

We consider asymptotically AdS, non-extremal, charged and rotating black holes with rotation in a single 2-plane and two independent U(1) charge parameters. Using a common ansatz, solutions are found for 5-dimensional U(1)^3 gauged…

High Energy Physics - Theory · Physics 2011-08-26 David D. K. Chow

The imposition of a constraint between the metric tensor elements in both three- and four-dimensional, rotating AdS space-times is shown to reduce the number of independent equations of motion and to result in new families of solutions to…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Benjamin Harms

We construct a stationary black ring spacetime with rotation only along the $S^2$ direction that is free of conical singularities. We use a solution-generating technique to add external gravitational fields and show these can be used to…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Matin Tavayef , Shohreh Abdolrahimi , Ivan Booth , Hari Kunduri

We generate an explicit four-fold infinity of physically acceptable exact perfect fluid solutions of Einstein's equations by way of conformal transformations of physically unacceptable solutions (one way to view the use of isotropic…

General Relativity and Quantum Cosmology · Physics 2008-12-30 Jonathan Loranger , Kayll Lake

It has recently been shown that a stationary, asymptotically flat vacuum black hole in five space-time dimensions with two commuting axial symmetries must have an event horizon with either a spherical, ring or lens-space topology. In this…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Yu Chen , Edward Teo

We construct explicit rotating solutions in Einstein's theory of relativity with a minimally coupled free scalar field rederiving and finding solutions in four or five spacetime dimensions. These spacetimes describe, in particular, the…

General Relativity and Quantum Cosmology · Physics 2025-06-18 José Barrientos , Christos Charmousis , Adolfo Cisterna , Mokhtar Hassaine

Using the inverse scattering method to solve the five-dimensional vacuum Einstein equations, we construct an asymptotically flat four-soliton solution as a stationary and bi-axisymmetric solution. We impose certain boundary conditions on…

High Energy Physics - Theory · Physics 2019-05-29 Shinya Tomizawa , Takashi Mishima

I present a new method to generate rotating solutions of the Einstein-Maxwell equations from static solutions, give several examples of its application, and discuss its general properties.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gerard Clement

We present a numerical study of fully non-linear, rotating and charged hairy black hole solutions in five-dimensional anti-de Sitter space, which originate from a consistent truncation of $\mathcal{N}=8$ supergravity, and can be…

High Energy Physics - Theory · Physics 2019-03-27 Julija Markeviciute

Supersymmetric black holes in five-dimensional gauged supergravity must necessarily be rotating, and so in order to study the passage to black holes away from supersymmetry, it is of great interest to obtain non-extremal black holes that…

High Energy Physics - Theory · Physics 2008-11-26 Z. W. Chong , M. Cvetic , H. Lu , C. N. Pope

We derive a shortcut stationary metric formula for generating imperfect fluid rotating solutions, in Boyer-Lindquist coordinates, from spherically symmetric static ones. We explore the properties of the curvature scalar and stress-energy…

General Relativity and Quantum Cosmology · Physics 2014-05-12 Mustapha Azreg-Aïnou

We extend a recently developed numerical code to obtain stationary, axisymmetric solutions that describe rotating black hole spacetimes in a wide class of modified theories of gravity. The code utilizes a relaxed Newton-Raphson method to…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

In this study, beginning with the 4D asymptotically flat Kerr black hole solution in the Boyer-Lindquist (BL) coordinate system, then by using the technique of frame-dragging and some coordinate transformation to incorporate the…

High Energy Physics - Theory · Physics 2023-09-22 Shingo Takeuchi