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Using a generalized Weyl formalism, we show how stationary, axisymmetric solutions of the four-dimensional vacuum Einstein equation can be turned into static, axisymmetric solutions of five-dimensional dilaton gravity coupled to a two-form…

High Energy Physics - Theory · Physics 2009-11-10 Edward Teo

We construct a new set of asymptotically flat, static vacuum solutions to the Einstein equations in dimensions 4 and 5, which may be interpreted as a superposition of positive and negative mass black holes. The resulting spacetimes are…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Marcus Khuri , Gilbert Weinstein , Sumio Yamada

We investigate the solution-generating technique based on the Breitenlohner-Maison (BM) linear system, for asymptotically flat, stationary, bi-axisymmetric black hole solutions with various horizon topologies in five-dimensional vacuum…

High Energy Physics - Theory · Physics 2025-10-03 Jun-ichi Sakamoto , Shinya Tomizawa

Using a solution-generating method, we derive an exact solution of the Einstein's field equations in five dimensions describing multi-black hole configurations. More specifically, this solution describes systems of non-extremal static black…

General Relativity and Quantum Cosmology · Physics 2014-12-01 Cristian Stelea , Kristin Schleich , Donald Witt

We consider 5D Einstein-Maxwell-dilaton (EMd) gravity in spacetimes with three commuting Killing vectors: one timelike and two spacelike Killing vectors, one of which is hypersurface-orthogonal. Assuming a special ansatz for the Maxwell…

High Energy Physics - Theory · Physics 2009-11-11 Stoytcho S. Yazadjiev

We show that there exist five-dimensional multi-black hole solutions which have analytic event horizons when the space-time has non-trivial asymptotic structure, unlike the case of five-dimensional multi-black hole solutions in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Masashi Kimura

We show how one can systematically construct vacuum solutions to Einstein field equations with $D-2$ commuting Killing vectors in $D>4$ dimensions. The construction uses Einstein-scalar field seed solutions in 4 dimensions and is performed…

High Energy Physics - Theory · Physics 2008-11-26 N. Bretón , A. Feinstein , L. A. López , .

In this paper, we describe in detail a scheme for the construction of highly accurate numerical solutions to Einstein's field equations in five and six spacetime dimensions corresponding to non-uniform black strings. The scheme consists of…

General Relativity and Quantum Cosmology · Physics 2016-10-20 Michael Kalisch , Marcus Ansorg

We consider $5$ dimensional electrostatic solutions to Einstein-Maxwell gravity with $2$ commuting spacelike Killing fields. Taking two distinct reductions from $5$ dimensions to a $3$ dimensional base space, we write the Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Fred Tomlinson

We obtain new stationary charged solutions of five-dimensional minimal supergravity. We first obtain purely dipole charged solutions, by extending a technique that we developed for five-dimensional Ricci-flat metrics in a previous paper,…

High Energy Physics - Theory · Physics 2014-11-18 H. Lu , Jianwei Mei , C. N. Pope

We find a class of solutions to cosmological Einstein equations that generalizes the four dimensional cylindrically symmetric spacetimes to higher dimensions. The AdS soliton is a special member of this class with a unique singularity…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Ozgur Sarioglu , Bayram Tekin

We study the problem of asymptotically flat bi-axially symmetric stationary solutions of the vacuum Einstein equations in $5$-dimensional spacetime. In this setting, the cross section of any connected component of the event horizon is a…

General Relativity and Quantum Cosmology · Physics 2019-09-24 Marcus Khuri , Gilbert Weinstein , Sumio Yamada

We study higher-dimensional soliton and hairy black hole solutions of the Einstein equations non-minimally coupled to a scalar field. The scalar field has no self-interaction potential but a cosmological constant is included. Non-trivial…

General Relativity and Quantum Cosmology · Physics 2012-06-12 Dominic Hosler , Elizabeth Winstanley

We construct new solutions of the vacuum Einstein field equations with cosmological constant. These solutions describe spacetimes with non-trivial topology that are asymptotically dS, AdS or flat. For a negative cosmological constant these…

High Energy Physics - Theory · Physics 2009-11-10 Robert Mann , Cristian Stelea

In this paper we apply the anholonomic frames method developed in refs. [1-4] to construct and study anisotropic vacuum field configurations in 5D gravity. Starting with an off--diagonal 5D metric, parameterized in terms of several ansatz…

High Energy Physics - Theory · Physics 2009-11-07 Sergiu I. Vacaru , D. Singleton

We study the 5-dimensional Einstein-Yang-Mills system with a cosmological constant. Assuming a spherically symmetric spacetime, we find a new analytic black hole solution, which approaches asymptotically "quasi-Minkowski", "quasi anti-de…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Naoya Okuyama , Kei-ichi Maeda

We apply a new general method of anholonomic frames with associated nonlinear connection structure to construct new classes of exact solutions of Einstein-Dirac equations in five dimensional (5D)gravity. Such solutions are parametrized by…

High Energy Physics - Theory · Physics 2009-11-07 Sergiu I. Vacaru , Florian Catalin Popa

We determine all asymptotically flat, supersymmetric and biaxisymmetric soliton and black hole solutions to five dimensional minimal supergravity. In particular, we show that the solution must be a multi-centred solution with a…

High Energy Physics - Theory · Physics 2019-09-12 Veronika Breunholder , James Lucietti

We construct and investigate non conformal anisotropic Bianchi type VII solutions in 5 dimensions. The solutions are asymptotically flat, but they contain a naked singularity at the origin. We also construct solutions of Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2014-09-30 Manavendra Mahato , Ajay Pratap Singh

In this paper the well known Belinskii and Zakharov soliton generating transformations of the solution space of vacuum Einstein equations with two-dimensional Abelian groups of isometries are considered in the context of the so called…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. A. Alekseev