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The coupled Einstein-Dirac-Maxwell equations are considered for a static, spherically symmetric system of two fermions in a singlet spinor state. Stable soliton-like solutions are shown to exist, and we discuss the regularizing effect of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Felix Finster , Joel Smoller , Shing-Tung Yau

Quaternion analysis of time dependent Maxwell's equations in presence of electric and magnetic charges has been developed and the solutions for the classical problem of moving charges (electric and magnetic) are obtained in unique, simple…

High Energy Physics - Theory · Physics 2008-11-26 Jivan Singh , P. S. Bisht , O. P. S. Negi

We construct new regular solutions in Einstein-Yang-Mills theory. They are static, axially symmetric and asymptotically flat. They are characterized by a pair of integers (k,n), where k is related to the polar angle and $n$ to the azimuthal…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Yasha Shnir

We formulate a nonlinear electrodynamic theory which may be viewed as a weighted theory minimally interpolating the classical Maxwell and Born--Infeld theories. We show that, in contrast to the Born--Infeld theory, this new theory…

High Energy Physics - Theory · Physics 2025-11-14 Tengyang Liu , Yisong Yang

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

New exact solution of the cylindrically symmetric Einstein-Maxwell equations is presented. The solution is singular on the axis of symmetry and at the radial infinity, where sources should be placed. The accepted source at the origin can be…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Merab Gogberashvili

We consider an augmented Einstein-Maxwell-scalar model including an axionic-type coupling between the scalar and electromagnetic field. We study dyonic black hole solutions in this model. For the canonical axionic coupling emerging from…

General Relativity and Quantum Cosmology · Physics 2019-10-30 Pedro G. S. Fernandes , Carlos A. R. Herdeiro , Alexandre M. Pombo , Eugen Radu , Nicolas Sanchis-Gual

We study the full Maxwell-Dirac equations: Dirac field with minimally coupled electromagnetic field and Maxwell field with Dirac current as source. Our particular interest is the static case in which the Dirac current is purely time-like --…

Mathematical Physics · Physics 2008-11-26 Chris Radford , Hilary Booth

Mobile charge in an electrolytic solution can in principle be represented as the divergence of ionic polarization. After adding explicit solvent polarization a finite volume of electrolyte can then be treated as a composite non-uniform…

Soft Condensed Matter · Physics 2021-03-03 Michiel Sprik

From a general metric for stationary cyclic symmetric gravitational fields coupled to Maxwell electromagnetic fields within the $(2+1)$-dimensional gravity the uniqueness of wide families of exact solutions is established, among them, all…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Alberto A. Garcia-Diaz

We consider the existence of Einstein-Maxwell-dilaton plus fluid system for the case of stationary cylindrically symmetric spacetimes. An exact inhomogeneous $ \epsilon$-order solution is found, where the parameter $\epsilon$ parametrizes…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. Klepac , J. Horsky

We classify the spherically symmetric solutions of the Einstein-Maxwell Dilaton field equations in D dimensions and find some exact solutions of the string theory at all orders of the string tension parameter. We also show the uniqueness of…

High Energy Physics - Theory · Physics 2010-11-19 Metin Gurses , Emre Sermutlu

We here investigate static, spherically symmetric solutions to $\mathfrak{su}(\infty)$ Einstein-Yang-Mills theory with a negative cosmological constant $\Lambda$ in the case of dyonic solutions, which possess a non-trivial electric sector…

General Relativity and Quantum Cosmology · Physics 2019-08-29 J. Erik Baxter

We find static spherically symmetric dyons in Einstein-Born-Infeld-Higgs model in 3+1 dimensions. The solutions share many features with the gravitating monopoles in the same model. In particular, they exist only up to some critical value…

High Energy Physics - Theory · Physics 2009-10-31 Prasanta K. Tripathy

Recently there has been a surge of new experimental proposals to search for ultra-light axion dark matter with axion mass, $m_a\lesssim1\,\mu$eV. Many of these proposals search for small oscillating magnetic fields induced in or around a…

High Energy Physics - Phenomenology · Physics 2019-03-14 J. L. Ouellet , Z. Bogorad

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 construct static and spherically symmetric black hole solutions in the Einstein-Euler-Heisenberg (EEH) system which is considered as an effective action of a superstring theory. We considered electrically charged, magnetically charged…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hiroki Yajima , Takashi Tamaki

We study exact solutions of the Einstein-Maxwell equations for the interior gravitational field of static spherically symmetric charged compact spheres. The spheres are composed of a perfect fluid with a charge distribution that creates a…

General Relativity and Quantum Cosmology · Physics 2022-02-17 Krsna Dev

We describe a non-minimal higher-derivative extension of Einstein-Maxwell theory in which electrically-charged black holes and point charges have globally regular gravitational and electromagnetic fields. We provide an exact static…

High Energy Physics - Theory · Physics 2020-07-13 Pablo A. Cano , Ángel Murcia

We study electric stationary radial symmetric classical solutions of the U(1) Einstein Maxwell Chern-Simons theory coupled to a gravitational massless scalar field with a cosmological constant in 2+1 dimensions. Generic aspects of the…

High Energy Physics - Theory · Physics 2008-11-26 P. Castelo Ferreira