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For the plane symmetry we have found the electro-vacuum exact solutions of the Einstein-Maxwell equations and we have shown that one of them is equivalent to the McVittie solution of a charged infinite thin plane. The analytical extension…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. Fikar , J. Horsky

Extreme 4-dimensional dilaton black holes embedded into 10-dimensional geometry are shown to be dual to the gravitational waves in string theory. The corresponding gravitational waves are the generalization of pp-fronted waves, called…

High Energy Physics - Theory · Physics 2009-10-28 Eric Bergshoeff , Renata Kallosh , Tomas Ortin

We construct exact, time-dependent, black hole solutions of Einstein-Maxwell-dilaton theory with arbitrary dilaton coupling, $a$. For $a=1$ this theory arises as the four-dimensional low-energy effective description of heterotic string…

High Energy Physics - Theory · Physics 2016-05-25 Pedro Aniceto , Paolo Pani , Jorge V. Rocha

Mass angular momentum and charge inequalities for axisymmetric maximal time-symmetric initial data invariant under an action of U(1) group, in Einstein-Maxwell-axion-dilaton gravity being the low-energy limit of the heterotic string theory,…

High Energy Physics - Theory · Physics 2015-06-18 Marek Rogatko

Exact solutions of Einstein field equations invariant for a non-Abelian 2-dimensional Lie algebra of Killing fields are described. Physical properties of these gravitational fields are studied, their wave character is checked by making use…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. Canfora , L. Parisi , G. Vilasi

We study continuously self-similar solutions of four-dimensional Einstein-Maxwell-dilaton theory, with an arbitrary dilaton coupling. Self-similarity is an emergent symmetry of gravitational collapse near the threshold of black hole…

General Relativity and Quantum Cosmology · Physics 2018-12-07 Jorge V. Rocha , Marija Tomašević

We present exact inhomogeneous and anisotropic cosmological solutions of low-energy string theory containing dilaton and axion fields. The spacetime metric possesses cylindrical symmetry. The solutions describe ever-expanding universes with…

High Energy Physics - Theory · Physics 2009-10-30 John D. Barrow , Kerstin E. Kunze

HyperCR Einstein--Weyl equations in 2+1 dimensions reduce to a pair of quasi-linear PDEs of hydrodynamic type. All solutions to this hydrodynamic system can be in principle constructed from a twistor correspondence, thus establishing the…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Maciej Dunajski

We obtain static and rotating electrically charged black holes of a Einstein-Maxwell-Dilaton theory of the Brans-Dicke type in (2+1)-dimensions. The theory is specified by three fields, the dilaton, the graviton and the electromagnetic…

High Energy Physics - Theory · Physics 2009-11-07 Oscar J. C. Dias , Jose' P. S. Lemos

One of the latest predictions of Einstein's theory is the existence of Wormholes (WH). In this work, we present exact solutions of the Einstein-Maxwell-Dilaton equations representing traversable Wormholes. These solutions satisfy the energy…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Leonel Bixano , Tonatiuh Matos

We study charged black hole solutions in Einstein-Gauss-Bonnet theory with the dilaton field which is the low-energy effective theory of the heterotic string. The spacetime is D-dimensional and assumed to be static and spherically symmetric…

High Energy Physics - Theory · Physics 2015-06-11 Nobuyoshi Ohta , Takashi Torii

In this paper, we have considered how to detect the processes of plane gravitational waves colliding. The degenerate Ferrari-Ibanez solution describes the collision of plane gravitational waves with aligned linear polarization, and the…

General Relativity and Quantum Cosmology · Physics 2019-09-27 Dongdong Wei , Xinhe Meng , Bin Wang

We present solution generating techniques which permit to construct exact inhomogeneous and anisotropic cosmological solutions to a four-dimensional low energy limit of string theory containing non-minimally interacting electromagnetic and…

High Energy Physics - Theory · Physics 2009-10-31 Stoytcho Yazadjiev

We present an analytic solution of a charged black hole with hyperscaling violating factor in an Einstein-Maxwell-Dilaton model where the scalar potential is key to the existence of a solution. This solution provides a candidate…

High Energy Physics - Theory · Physics 2013-02-13 Mohsen Alishahiha , Eoin Ó Colgáin , Hossein Yavartanoo

The gravitational field of two-body system, a high energetic particle and a massive particle at rest, is studied in the linearized Einstein gravity. The ultrarelativistic particle yields a plane-fronted gravitational shockwave which…

General Relativity and Quantum Cosmology · Physics 2026-05-15 D. V. Fursaev , V. A. Tainov

Einstein-Maxwell theory implies the mixing of photons with gravitons in an external electromagnetic field. This process and its possible observable consequences have been studied at tree level for many years. We use the worldline formalism…

High Energy Physics - Theory · Physics 2008-11-26 F. Bastianelli , U. Nucamendi , C. Schubert , V. M. Villanueva

We demonstrate how plane fronted waves with colliding wave fronts are the asymptotic limit of spherical electromagnetic and gravitational waves. In the case of the electromagnetic waves we utilize Bateman's representation of radiative…

General Relativity and Quantum Cosmology · Physics 2021-12-30 Peter A. Hogan , Dirk Puetzfeld

We present two new classes of axisymmetric stationary solutions of the Einstein-Maxwell-Dilaton equations with coupling constant $\alpha^2=3$. Both classes are written in terms of two harmonic maps $\lambda$ and $\tau$. $\lambda$ determines…

High Energy Physics - Theory · Physics 2014-11-18 Tonatiuh Matos , Cesar Mora

We present a proof of the positivity of the Bondi energy in Einstein-Maxwell axion-dilaton gravity, being the low-energy limit of the heterotic string theory. We consider the spacelike hypersurface which asymptotically approaches a null…

High Energy Physics - Theory · Physics 2016-09-06 Marek Rogatko

We construct new supersymmetric solutions to the Euclidean Einstein-Maxwell theory with a non-vanishing cosmological constant, and for which the Maxwell field strength is neither self-dual or anti-self-dual. We find that there are three…

High Energy Physics - Theory · Physics 2011-04-04 M. Dunajski , J. B. Gutowski , W. A. Sabra , Paul Tod