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In this paper we perform a systematic study of spatially flat [(3+D)+1]-dimensional Einstein-Gauss-Bonnet cosmological models with $\Lambda$-term. We consider models that topologically are the product of two flat isotropic subspaces with…

High Energy Physics - Theory · Physics 2016-10-19 Sergey A. Pavluchenko

A class of time dependent solutions to $(3+1)$ Einstein--Maxwell-dilaton theory with attractive electric force is found from Einstein--Weyl structures in (2+1) dimensions corresponding to dispersionless Kadomtsev--Petviashvili and…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Maciej Dunajski

We discuss the exact electrically charged BTZ black hole solutions to the Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions assuming a (anti-)self dual condition between the electromagnetic fields.…

High Energy Physics - Theory · Physics 2009-10-30 Masaru Kamata , Takao Koikawa

We present a new class of expanding and twisting solutions to the Einstein-Maxwell equations of algebraic type D, where the null eigendirections of the Faraday tensor are not aligned with PNDs of the Weyl tensor. After deriving this novel…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Hryhorii Ovcharenko , Jiri Podolsky

A broader perspective is suggested for the study of higher dimensional cosmological models. [1986: Considerations involving the Einstein constraints and the Ricci form of the evolution equations for spatially homogeneous spacetimes in 4 or…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert T. Jantzen

We present an exact solution to the 5D Einstein-Maxwell-dilaton equations describing a static black hole on Taub-Nut instanton. By construction the solution does not possess a charge, but is magnetized along the compact dimension. As a…

High Energy Physics - Theory · Physics 2015-06-03 Petya G. Nedkova , Stoytcho S. Yazadjiev

We construct new explicit solutions of general relativity from double analytic continuations of Taub-NUT spacetimes. This generalizes previous studies of 4-dimensional nutty bubbles. One 5-dimensional locally asymptotically AdS solution in…

High Energy Physics - Theory · Physics 2009-11-11 Dumitru Astefanesei , Robert B. Mann , Cristian Stelea

We find all analytic SU(2) Yang-Mills solutions on de Sitter space by reducing the field equations to Newton's equation for a particle in a particular 3d potential and solving the latter in a special case. In contrast, Maxwell's equations…

High Energy Physics - Theory · Physics 2021-04-06 Olaf Lechtenfeld

Numerical solutions of Einstein, scalar, and gauge field equations are found for static and inflating defects in a higher-dimensional spacetime. The defects have $(3+1)$-dimensional core and magnetic monopole configuration in $n=3$ extra…

High Energy Physics - Theory · Physics 2009-11-10 Inyong Cho , Alexander Vilenkin

This paper studies wormhole solutions to Einstein gravity with an arbitrary number of time dependent compact dimensions and a matter-vacuum boundary. A new gauge is utilized which is particularly suited for studies of the wormhole throat.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. DeBenedictis , A. Das

The solutions of the Einstein-Maxwell-Chern-Simons theory are studied in (1+2) dimensions with the self-duality condition imposed on the Maxwell field. We give a closed form of the general solution which is determined by a single function…

General Relativity and Quantum Cosmology · Physics 2014-11-17 T. Dereli , Yu. N. Obukhov

We analyse the properties of a (4+1)-dimensional Ricci-flat spacetime which may be viewed as an evolving Taub-NUT geometry, and give exact solutions of the Maxwell and gauged Dirac equation on this background. We interpret these solutions…

High Energy Physics - Theory · Physics 2015-06-23 Michael Atiyah , Guido Franchetti , Bernd Schroers

Classes of exact static solutions in four-dimensional Einstein-Maxwell-Dilaton gravity are found. Besides of the well-known solutions previously found in the literature, new solutions are presented.It's shown that spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. Yazadjiev

This thesis deals with the construction of conserved charges for asymptotically flat spacetimes at spatial infinity in four spacetime dimensions in a hopefully pedagogical way. As a first motivation of this work, it highlights the…

High Energy Physics - Theory · Physics 2011-12-20 François Dehouck

We study a $D$-dimensional Einstein-Gauss-Bonnet model which includes the Gauss-Bonnet term, the cosmological term $\Lambda$ and two non-zero constants: $\alpha_1$ and $\alpha_2$. Under imposing the metric to be diagonal one, we find…

General Relativity and Quantum Cosmology · Physics 2022-06-23 K. K. Ernazarov , V. D. Ivashchuk

The exact static solutions in the higher dimensional Einstein-Maxwell-Klein- Gordon theory are investigated. With the help of the methods developed for the effective dilaton type gauge gravity models in two dimensions, we find new…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Tekin Dereli , Yuri N. Obukhov

We consider a class of axially symmetric solutions to Einstein's equations incorporating a $\theta$-dependent scalar field and extend these solutions by introducing electric and magnetic charges via Harrison transformations. Subsequently,…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Mahnaz Tavakoli Kachi , Behrouz Mirza , Fatemeh Sadeghi

Listing has recently extended results of Kozameh, Newman and Tod for four-dimensional spacetimes and presented a set of necessary and sufficient conditions for a metric to be locally conformally equivalent to an Einstein metric in all…

Differential Geometry · Mathematics 2009-11-10 S. Brian Edgar

We study four-dimensional Einstein-Maxwell fields for which any higher-order corrections to the field equations effectively reduces to just a rescaling of the gravitational and the cosmological constant. These configurations are thus…

General Relativity and Quantum Cosmology · Physics 2023-01-31 Marcello Ortaggio

Black hole solutions in higher dimensional Einstein and Einstein-Maxwell gravity have been discussed by Tangherlini as well as Myers and Perry a long time ago. These solutions are the generalizations of the familiar Schwarzschild,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. N. Aliev
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