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Any constant-scalar-curvature Kaehler (cscK) metric on a complex surface may be viewed as a solution of the Einstein-Maxwell equations, and this allows one to produce solutions of these equations on any 4-manifold that arises as a compact…

Differential Geometry · Mathematics 2015-05-20 Claude LeBrun

In the context of Einstein-Maxwell-scalar theory with a nonminimal coupling between the electromagnetic and scalar field, we study linear (non)radial perturbations and nonlinear radial dynamics of spherically symmetric black holes. In a…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Marco Melis , Fabrizio Corelli , Robin Croft , Paolo Pani

We obtain an exact static solution to Einstein-Power-Maxwell (EPM) theory in $(2+1)$ dimensional AdS spacetime, in which the scalar field couples to gravity in a non-minimal way. After considering the scalar potential, a stable system leads…

High Energy Physics - Theory · Physics 2018-04-12 Wei Xu , De-Cheng Zou

The coupled system of the spherically symmetric Einstein--Maxwell differential equations is solved under two different source conditions: non-zero electric charge and pressure anisotropy. Expressions for the metric functions, and pressures…

General Relativity and Quantum Cosmology · Physics 2016-03-11 Ambrish M. Raghoonundun , David W. Hobill

We develop a nonlinear perturbation theory of Reissner-Nordstr\"om black holes. We show that, at each perturbation level, Einstein-Maxwell equations can be reduced to four inhomogeneous wave equations, two for polar and two for axial…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Mieszko Rutkowski

Applying a simple harmonic map method to the cylindrically symmetric Einstein-Maxwell system, we obtain exact solutions representing strong nonlinear interaction between gravitational waves and electromagnetic waves in the case without any…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Takashi Mishima , Shinya Tomizawa

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 find and analyse solutions of Einstein's equations in arbitrary d dimensions and in the presence of a scalar field with a Liouville potential coupled to a Maxwell field. We consider spacetimes of cylindrical symmetry or again subspaces…

General Relativity and Quantum Cosmology · Physics 2010-06-29 Christos Charmousis , Blaise Goutéraux , Jiro Soda

We investigate the existence of inhomogeneous Szekeres spacetimes in Einstein-\ae ther theory. We show that inhomogeneous solutions which can be seen as extension of the Szekeres solutions existing in Einstein-\ae ther gravity only for a…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Andronikos Paliathanasis

Previous studies showed that, in the presence of a simple and well-motivated self-interaction scalar potential, asymptotically flat and spherical black holes can carry minimally coupled and charged scalar cloud/hair in Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Shao-Jun Zhang

We consider an Abelian gauge field coupled to a particular truncation of Horndeski theory. The Galileon field has translation symmetry and couples non minimally both to the metric and the gauge field. When the gauge-scalar coupling is zero…

General Relativity and Quantum Cosmology · Physics 2015-07-20 Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine

We study the quantization of a scalar field on a classical background given by the Szekeres Class of solutions, which represent the collision of two gravitational plane waves with constant polarization. These solutions consist of two…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Miquel Dorca

A wavelike scalar-Einstein solution is found and indicating vectors constructed from the Bel-Robinson tensor are used to study which objects co-move with the wave and whether gravitational energy transfer is null.

General Relativity and Quantum Cosmology · Physics 2015-03-16 Mark D. Roberts

The Kerr solution is generated from the Schwarzschild solution by a simple combination of real global coordinate transformations and of invariance transformations acting on the space of stationary solutions of the Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Gerard Clement

A new exact solution of the Einstein-Maxwell equations for the gravitational collapse of a shell of matter in an already formed black hole is given. Both the shell and the black hole are endowed with electromagnetic structure and are…

Astrophysics · Physics 2009-11-07 Christian Cherubini , Remo Ruffini , Luca Vitagliano

The Schwarzschild solution is a complete solution of Einstein's field equations for a static spherically symmetric field. The Einstein's field equations solutions appear in the literature, but in different ways corresponding to different…

General Relativity and Quantum Cosmology · Physics 2014-05-05 Iftikhar Ahmad , Maqsoom Fatima , Najam-ul-Basat

The discussion of our recent work concerning the vector solution of boundary-value problems in electromagnetism is extended to the case of no azimuthal symmetry by means of the spin-weighted spherical harmonics.

Classical Physics · Physics 2007-05-23 E. A. Matute

We introduce a new class of inhomogeneous cosmological models as solutions to the Einstein-Maxwell equations in electrovacuum. The new models can be considered to be nonlinear perturbations, through an electromagnetic field, of the…

General Relativity and Quantum Cosmology · Physics 2019-03-19 Jörg Hennig

We numerically integrate the semiclassical equations of motion for spherically symmetric Einstein-Maxwell theory with a dilaton coupled scalar field and look for zero temperature configurations. The solution we find is studied in detail…

High Energy Physics - Theory · Physics 2010-11-19 C. Barbachoux , A. Fabbri

It has been shown that in investigating the electromagnetic and meson fields of elementary particles, the effects of gravitational interaction cannot be neglected. The present note is an attempt to find solutions to the equations of the…

General Relativity and Quantum Cosmology · Physics 2017-07-10 Yi-Shi Duan
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