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Related papers: Gyratons on direct-product spacetimes

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We present and analyze exact solutions of the Einstein-Maxwell equations in higher dimensions which form a large subclass of the Kundt family of spacetimes. We assume that the cosmological constant may be nonvanishing, and the matter…

General Relativity and Quantum Cosmology · Physics 2012-09-26 Pavel Krtous , Jiri Podolsky , Andrei Zelnikov , Hedvika Kadlecova

We present and analyze new exact gyraton solutions of algebraic type II on a background which is static, cylindrically symmetric Melvin universe of type D. For a vanishing electromagnetic field it reduces to previously studied gyratons on…

General Relativity and Quantum Cosmology · Physics 2010-09-03 Hedvika Kadlecova , Pavel Krtous

In this work we have found and analyzed several gyraton solutions on various non--trivial backgrounds in the large Kundt class of spacetimes. Namely, the gyraton solutions on direct product spacetimes, gyraton solutions on Melvin universe…

General Relativity and Quantum Cosmology · Physics 2013-08-27 Hedvika Kadlecová

We present and analyze new exact gyraton solutions of algebraic type II on generalized Melvin universe of type D which admit non-vanishing cosmological constant $\Lambda$. We show that it generalizes both, gyraton solutions on Melvin and on…

General Relativity and Quantum Cosmology · Physics 2016-10-27 Hedvika Kadlecová , Pavel Krtouš

A particular yet large class of non-diverging solutions which admits a cosmological constant, electromagnetic field, pure radiation and/or general non-null matter component is explicitly presented. These spacetimes represent exact…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Jiri Podolsky , Marcello Ortaggio

We systematically investigate the complete class of vacuum solutions in the Einstein-Gauss-Bonnet gravity theory which belong to the Kundt family of non-expanding, shear-free and twist-free geometries (without gyratonic matter terms) in any…

General Relativity and Quantum Cosmology · Physics 2020-10-14 Robert Svarc , Jiri Podolsky , Ondrej Hruska

In our previous paper [Phys. Rev. D 89 (2014) 124029], cited as [1], we attempted to find Robinson-Trautman-type solutions of Einstein's equations representing gyratonic sources (matter field in the form of an aligned null fluid, or…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Jiri Podolsky , Robert Svarc

We present the Riemann and Ricci tensors for a fully general non-twisting and shear-free geometry in arbitrary dimension D. This includes both the non-expanding Kundt and expanding Robinson-Trautman family of spacetimes. As an interesting…

General Relativity and Quantum Cosmology · Physics 2019-03-05 Robert Svarc , Jiri Podolsky

The product spacetimes of constant curvature describe in Einstein gravity, which is linear in Riemann curvature, Nariai metric which is a solution of $\Lambda$-vacuum when curvatures are equal, $k_1=k_2$, while it is Bertotti-Robinson…

General Relativity and Quantum Cosmology · Physics 2013-11-18 Naresh Dadhich , Josep M. Pons

Under a weak assumption of the existence of a geodesic null congruence, we present the general solution of the Einstein field equations in three dimensions with any value of the cosmological constant, admitting an aligned null matter field,…

General Relativity and Quantum Cosmology · Physics 2021-08-09 Jiri Podolsky , Robert Svarc , Hideki Maeda

The metric ansatz is used to describe the gravitational field of a beam-pulse of spinning radiation (gyraton) in an arbitrary number of spacetime dimensions D. First we demonstrate that this metric belongs to the class of metrics for which…

High Energy Physics - Theory · Physics 2009-11-11 Valeri P. Frolov , Werner Israel , Andrei Zelnikov

All non-twisting Petrov-type N solutions of vacuum Einstein field equations with cosmological constant Lambda are summarized. They are shown to belong either to the non-expanding Kundt class or to the expanding Robinson-Trautman class.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Bicak , J. Podolsky

Type N spacetimes of the Kundt class are presented as solutions to Einstein's equations sourced by a real scalar field whose equation of motion is conformally invariant and that generalizes the standard conformal scalar field. The specific…

General Relativity and Quantum Cosmology · Physics 2025-04-07 Pedro A. Sánchez

If we consider the spacetime manifold as product of a constant curvature 2-sphere (hypersphere) and a 2-space, then solution of the Einstein equation requires that the latter must also be of constant curvature. There exist only two…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Naresh Dadhich

We study solutions describing spinning null sources called gyratons in generic theories of gravity with terms that are quadratic in curvature and contain an arbitrary number of covariant derivatives. In particular, we show that the…

General Relativity and Quantum Cosmology · Physics 2022-02-14 Ivan Kolář , Tomáš Málek , Suat Dengiz , Ercan Kilicarslan

The charged Nariai spacetimes are the exact solutions of Einstein-Maxwell field equations with positive cosmological constant and such a spacetime is the direct topological product of a $2$-dimentional de-Sitter spacetime with a round…

Differential Geometry · Mathematics 2020-04-22 Absos Ali Shaikh , Dhyanesh Chakraborty

We obtain a new family of exact vacuum solutions to quadratic gravity that describe pp-waves with two-dimensional wave surfaces that can have any prescribed constant curvature. When the wave surfaces are flat we recover the Peres waves…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Sjors Heefer , Lorens F. Niehof , Andrea Fuster

We present time-dependent analytic solutions to the Einstein equations coupled with a dilaton (scalar) field. The background geometry for the solutions is a product of an N-dimensional spherically symmetric space and a d-dimensional flat…

General Relativity and Quantum Cosmology · Physics 2019-04-09 Takuya Maki , Kiyoshi Shiraishi

Family of exact spacetimes of D=3 Einstein gravity interacting with massless scalar field is obtained by suitable dimensional reduction of a class of D=4 plane-symmetric Einstein vacua. These D=3 spacetimes describe collisions of…

General Relativity and Quantum Cosmology · Physics 2016-08-14 C. Klimčík , P. Kolník

We investigate a general metric of the Kundt class of spacetimes in higher dimensions. Geometrically, it admits a non-twisting, non-shearing and non-expanding geodesic null congruence. We calculate all components of the curvature and Ricci…

General Relativity and Quantum Cosmology · Physics 2009-04-22 Jiri Podolsky , Martin Zofka
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