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Several types of static solutions to Einstein's equations coupled with antisymmetric tensor fields are found in $(2+N+1)$-dimensional spacetime. The solutions describe a product of a three-dimensional radially symmetric spacetime and an…

General Relativity and Quantum Cosmology · Physics 2018-02-06 Takuya Maki , Kiyoshi Shiraishi

We develop generating technique for solutions of $U(1)^3 5D$ supergravity via dimensional reduction to three dimensions. This theory, which recently attracted attention in connection with black rings, can be viewed as consistent truncation…

High Energy Physics - Theory · Physics 2009-02-20 Dmitri V. Gal'tsov , Nikolai G. Scherbluk

We study higher dimensional gravitational collapse to topological black holes in two steps. Firstly, we construct some (n+2)-dimensional collapsing space-times, which include generalised Lemaitre-Tolman-Bondi-like solutions, and we prove…

General Relativity and Quantum Cosmology · Physics 2010-02-17 Filipe C. Mena , Jose Natario , Paul Tod

We construct time-dependent multi-centre solutions to three-dimensional general relativity with zero or negative cosmological constant. These solutions correspond to dynamical systems of freely falling black holes and conical singularities,…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Gérard Clément

The 'anholonomic frame' method (see gr-qc/0005025, gr-qc/0001060 and hep-th/0110250) is applied for constructing new classes of exact solutions of vacuum Einstein equations with off-diagonal metrics in 4D and 5D gravity. We examine several…

High Energy Physics - Theory · Physics 2007-05-23 Sergiu I. Vacaru

We construct new charged static solutions of the Einstein-Maxwell field equations in five dimensions via a solution generation technique utilizing the symmetries of the reduced Lagrangian. By applying our method on the…

High Energy Physics - Theory · Physics 2008-12-18 Brenda Chng , Robert Mann , Eugen Radu , Cristian Stelea

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

We study black hole solutions in the Einstein gravity with Gauss-Bonnet term, the dilaton and a positive "cosmological constant" in various dimensions. Physically meaningful black holes with a positive cosmological term are obtained only…

High Energy Physics - Theory · Physics 2014-11-20 Nobuyoshi Ohta , Takashi Torii

We obtain classes of black hole solutions constructed from multiplets of scalar fields in 2+1 / 3+1 dimensions. The multi-component scalars don't undergo a symmetry breaking so that only the isotropic modulus is effective. The Lagrangian is…

General Relativity and Quantum Cosmology · Physics 2016-08-22 S. Habib Mazharimousavi , M. Halilsoy

We review recent development of solution-generating techniques for four and five-dimensional Einstein equations coupled to vector and scalar fields. This includes D=4 Einstein-Maxwell-dilaton-axion theory with multiple vector fields, D=5…

General Relativity and Quantum Cosmology · Physics 2009-02-27 Dmitri V. Gal'tsov

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

The solution generating methods discovered earlier for integrable reductions of Einstein's and Einstein - Maxwell field equations (such as soliton generating techniques, B$\ddot{a}$cklund or symmetry transformations and other…

General Relativity and Quantum Cosmology · Physics 2025-12-22 G. A. Alekseev

We construct a new class of exact solutions describing spacetimes possessing Lie algebroid symmetry. They are described by generic off-diagaonal 5D metrics embedded in bosonic string gravity and possess nontrivial limits to the Einstein…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergiu I. Vacaru

We give an infinite number of exact solutions to the 5-dimensional static Einstein equation with axial symmetry by using the inverse scattering method. The solutions are characterized by two integers representing the soliton numbers. The…

High Energy Physics - Theory · Physics 2009-11-11 Takao Koikawa

We introduce two new families of solutions to the vacuum Einstein equations with negative cosmological constant in 5 dimensions. These solutions are static black holes whose horizons are modelled on the 3-geometries nilgeometry and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Cadeau , E. Woolgar

We study stationary configurations mimicking nonholonomic locally anisotropic black rings (for instance, with ellipsoidal polarizations and/or imbedded into solitonic backgrounds) in three/six dimensional pseudo-Finsler/ Riemannian…

High Energy Physics - Theory · Physics 2014-11-20 Mihai Anastasiei , Sergiu I. Vacaru

Time-dependent soliton solutions are explicitly derived in a five-dimensional theory endowed with one (warped) extra-dimension. Some of the obtained geometries, everywhere well defined and technically regular, smoothly interpolate between…

High Energy Physics - Theory · Physics 2008-11-26 Massimo Giovannini

The soliton technique is applied to the 5D static Einstein-Maxwell equations, and an infinite number of solutions are explicitly obtained. We study the rod structure of 2-soliton solutions and we show that the 5D Reissner-Nordstrom solution…

High Energy Physics - Theory · Physics 2008-11-26 Takahiro Azuma , Takao Koikawa

Using a solution generating technique based on the symmetries of the dimensionally reduced Lagrangian we derive an exact solution of the Einstein-Maxwell-Dilaton field equations in five dimensions describing a system of two general…

High Energy Physics - Theory · Physics 2011-05-05 Cristian Stelea , Kristin Schleich , Donald Witt

We follow a constructive approach and find higher-dimensional black holes with Ricci nilsoliton horizons. The spacetimes are solutions to Einstein's equation with a negative cosmological constant and generalises therefore, anti-de Sitter…

High Energy Physics - Theory · Physics 2014-01-06 Sigbjorn Hervik