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Collision of plane waves in dilaton gravity theories and low energy limit of string theory is considered. The formulation of the the problem and some exact solutions are presented.

High Energy Physics - Theory · Physics 2010-11-01 Metin Gurses , Emre Sermutlu

We construct the colliding plane wave solutions in the higher-dimensional gravity theory with fluxes and dilaton, with a more general ansatz on the metric. We consider two classes of solutions to the equations of motions and after imposing…

High Energy Physics - Theory · Physics 2008-11-26 Bin Chen

The formulation of the Einstein field equations admitting two Killing vectors in terms of harmonic mappings of Riemannian manifolds is a subject in which Charlie Misner has played a pioneering role. We shall consider the hyperbolic case of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Y. Nutku

Recently a simple solution of the vacuum Einstein-Maxwell field equations was given describing a plane electromagnetic shock wave sharing its wave front with a plane gravitational impulse wave. We present here an exact solution of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Barrabès , G. F Bressange , P. A. Hogan

A simple method is presented which enables us to construct scalar field solutions from any given Einstein-Maxwell solution in colliding plane waves. As an application we give scalar field extensions of the solution found by Hogan, Barrabes…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Halilsoy , I. Sakalli

We construct colliding plane wave solutions in higher dimensional gravity theory with dilaton and higher form flux, which appears naturally in the low energy theory of string theory. Especially, the role of the junction condition in…

High Energy Physics - Theory · Physics 2010-02-03 Bin Chen , Chong-Sun Chu , Ko Furuta , Feng-Li Lin

We study the head-on collision of linearly polarized, high frequency plane gravitational waves and their electromagnetic counterparts in the Einstein-Maxwell theory. The post-collision space-times are obtained by solving the vacuum…

General Relativity and Quantum Cosmology · Physics 2009-11-10 P. A. Hogan , D. M. Walsh

We construct the two-flux colliding plane wave solutions in higher dimensional gravity theory with dilaton, and two complementary fluxes. Two kinds of solutions has been obtained: Bell-Szekeres(BS) type and homogeneous type. After imposing…

High Energy Physics - Theory · Physics 2014-11-18 Bin Chen , Jun-Feng Zhang

Three different classes of static solutions of the Einstein--Maxwell equations non--minimally coupled to a dilaton field are presented. The solutions are given in general in terms of two arbitrary harmonic functions and involve among others…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Tonatiuh Matos , Darío Núñez , Hernando Quevedo

We generalize the formulation of the colliding gravitational waves to metric-affine theories and present an example of such kind of exact solutions. The plane waves are equipped with five symmetries and the resulting geometry after the…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Alberto García , Claus Lämmerzahl , Alfredo Macías , Eckehard W. Mielke , José Socorro

The Einstein-Maxwell equations in D-dimensions admitting (D-3) commuting Killing vector fields have been investigated. The existence of the electric, magnetic and twist potentials have been proved. The system is formulated as the harmonic…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Daisuke Ida , Yuki Uchida

By gauging an Abelian electromagnetic (em) solution through a non-Abelian transformation and in accordance with a theorem proved long time ago, we construct a simple class of colliding Einstein-Yang-Mills (EYM) plane waves. The solution is…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Ozay Gurtug , Mustafa Halilsoy

In the presence of a Killing symmetry, various self-gravitating field theories with massless scalars (moduli) and vector fields reduce to sigma-models, effectively coupled to 3-dimensional gravity. We argue that this particular structure of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Markus Heusler

We present a formulation of Einstein--Maxwell vacuum fields due to plane fronted electromagnetic waves sharing their wave fronts with gravitational waves. This is based on a recent geometrical reconstruction of plane fronted wave fields by…

General Relativity and Quantum Cosmology · Physics 2023-01-02 Peter A. Hogan , Dirk Puetzfeld

The colliding plane wave metric discovered by Ferrari and Iba\~{n}ez to be locally isometric to the interior of a Schwarzschild black hole is extended to the case of general axion-dilaton black holes. Because the transformation maps either…

High Energy Physics - Theory · Physics 2009-10-30 Patricia Schwarz

Some classes of the so called "travelling wave" solutions of Einstein and Einstein - Maxwell equations in General Relativity and of dynamical equations for massless bosonic fields in string gravity in four and higher dimensions are…

General Relativity and Quantum Cosmology · Physics 2015-11-13 George Alekseev

Spherically, plane, or hyperbolically symmetric spacetimes with an additional hypersurface orthogonal Killing vector are often called ``static'' spacetimes even if they contain regions where the Killing vector is non-timelike. It seems to…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Hideki Maeda

We consider Einstein's equations coupled to the Euler equations in plane symmetry, with compact spatial slices and constant mean curvature time. We show that for a wide variety of equations of state and a large class of initial data,…

General Relativity and Quantum Cosmology · Physics 2008-06-11 Alan D. Rendall , Fredrik Ståhl

When two non-interacting plane impulsive gravitational waves undergo a head-on collision, the vacuum interaction region between the waves after the collision contains backscattered gravitational radiation from both waves. The two systems of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Barrabès , G. F. Bressange , P. A. Hogan

We construct and study general static, spherically symmetric, magnetically charged solutions in Einstein-Maxwell-dilaton gravity in four dimensions. That is, taking Einstein gravity coupled to a ${\rm U}(1)$ gauge field and a massless…

High Energy Physics - Theory · Physics 2023-03-24 Achilleas P. Porfyriadis , Grant N. Remmen
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