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We use the inverse scattering method (ISM) to derive concentric non-supersymmetric black rings. The approach used here is fully five-dimensional, and has the modest advantage that it generalizes readily to the construction of more general…

High Energy Physics - Theory · Physics 2009-12-15 Jarah Evslin , Chethan Krishnan

We present detailed physics analyses of two different 4+1-dimensional asymptotically flat vacuum black hole solutions with spin in two independent planes: the doubly spinning black ring and the bicycling black ring system ("bi-rings"). The…

High Energy Physics - Theory · Physics 2008-11-26 Henriette Elvang , Maria J. Rodriguez

Using the solitonic solution-generating technique we rederived the one-rotational five-dimensional black ring solution found by Emparan and Reall. The seed solution is not the Minkowski metric, which is the seed of $S^2$-rotating black…

High Energy Physics - Theory · Physics 2008-11-26 Hideo Iguchi , Takashi Mishima

General regular black ring solution with two angular momenta is presented, found by the inverse scattering problem method. The mass, angular momenta and the event horizon volume are given explicitly as functions of the metric parameters.

High Energy Physics - Theory · Physics 2007-05-23 A. A. Pomeransky , R. A. Sen'kov

Previously the five dimensional $S^1$-rotating black rings have been superposed in a concentric way by some solitonic methods, and regular systems of two $S^1$-rotating black rings were constructed by the authors and then Evslin and…

High Energy Physics - Theory · Physics 2011-03-04 Hideo Iguchi , Takashi Mishima

We show how a recently discovered black ring solution with a rotating 2-sphere can be turned into two new solutions of Einstein-Maxwell-dilaton theory. The first is a four-dimensional solution describing a pair of oppositely charged,…

High Energy Physics - Theory · Physics 2009-11-11 Edward Teo

We study vacuum solutions of five-dimensional Einstein equations generated by the inverse scattering method. We reproduce the black ring solution which was found by Emparan and Reall by taking the Euclidean Levi-Civita metric plus…

High Energy Physics - Theory · Physics 2009-11-11 Shinya Tomizawa , Masato Nozawa

We present a solution of the vacuum Einstein's equations in five dimensions corresponding to a black ring with horizon topology S^1 x S^2 and rotation in the azimuthal direction of the S^2. This solution has a regular horizon up to a…

High Energy Physics - Theory · Physics 2009-11-11 Pau Figueras

Using a solution generating technique based on the symmetries of the dimensionally reduced Lagrangian we derive two exact solutions of the Einstein-Maxwell-Dilaton field equations in five dimensions. More specifically, these solutions…

General Relativity and Quantum Cosmology · Physics 2011-11-10 Cristian Stelea , Ciprian Dariescu , Marina-Aura Dariescu

General charged black ring solution with two angular momenta, a charge and a dipole charge is found by the inverse scattering method. The solution is presented in a relatively concise form in which its symmetries are manifest. The…

High Energy Physics - Theory · Physics 2012-08-01 Andrew L. Feldman , Andrei A. Pomeransky

Using the inverse scattering method we construct a six-parameter family of exact, stationary, asymptotically flat solutions of the 4+1 dimensional vacuum Einstein equations, with U(1)^2 rotational symmetry. It describes the superposition of…

High Energy Physics - Theory · Physics 2009-12-07 Carlos A. R. Herdeiro , Carmen Rebelo , Miguel Zilhao , Miguel S. Costa

Using the inverse scattering method in six dimensions we construct the dipole black ring of five dimensional Einstein-Maxwell-dilaton theory with dilaton coupling a = 2(2/3)^(1/2).The 5d theory can be thought of as the NS sector of low…

High Energy Physics - Theory · Physics 2011-11-11 Jorge V. Rocha , Maria J. Rodriguez , Amitabh Virmani

We show that the $S^1$-rotating black rings can be superposed by the solution generating technique. We analyze the black diring solution for the simplest case of multiple rings. There exists an equilibrium black diring where the conical…

High Energy Physics - Theory · Physics 2014-11-18 Hideo Iguchi , Takashi Mishima

We construct balanced black ring solutions in $d\geq 6$ spacetime dimensions, by solving the Einstein field equations numerically with suitable boundary conditions. The black ring solutions have a regular event horizon with $S^1\times…

High Energy Physics - Theory · Physics 2015-06-05 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

We present two rotating black hole solutions with axion $\xi$, dilaton $\phi$ and two U(1) vector fields. By applying the "Newman-Janis trick" to a metric with 3 arbitrary parameters we find a rotating metric $g_{\mu\nu}$ with 4 such…

General Relativity and Quantum Cosmology · Physics 2009-05-18 E. Kyriakopoulos

The inverse scattering method is applied to the investigation of the equilibrium configuration of black holes. A study of the boundary problem corresponding to this configuration shows that any axially symmetric, stationary solution of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. G. Varzugin

An analytical metric of four-dimensional General Relativity, representing an array of collinear and accelerating black holes, is constructed with the inverse scattering method. The solution can be completely regularised from any conical…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Marco Astorino , Adriano Viganò

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

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

We propose a general framework for the study of asymptotically flat black objects with $k+1$ equal magnitude angular momenta in $d\geq 5$ spacetime dimensions (with $0\leq k\leq \big[\frac{d-5}{2} \big]$). In this approach, the dependence…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Burkhard Kleihaus , Jutta Kunz , Eugen Radu
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