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A new approximate solution of vacuum and stationary Einstein field equations is obtained. This solution is constructed by means of a power series expansion of the Ernst potential in terms of two independent and dimensionless parameters…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jose Luis Hernandez Pastora

Electromagnetic duality is discussed in the context of Einstein-Maxwell-scalar (EMS) models including axionic-type couplings. This family of models introduces two non-minimal coupling functions $f(\phi)$ and $g(\phi)$, depending on a real…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Carlos A. R. Herdeiro , João M. S. Oliveira

We establish, for the first time, an exact correspondence between Einstein-scalar-Maxwell theory and gauged Skyrme-Maxwell-Einstein models in (3+1) dimensions. By constructing the simplest consistent ansatz within the gauged Skyrme-Maxwell…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Fabrizio Canfora , Anibal Neira , Seung Hun Oh

The main purpose of this contribution is to determine physical and geometrical characterizations of whole classes of stationary cyclic symmetric gravitational fields coupled to Maxwell electromagnetic fields within the $(2+1)$-dimensional…

General Relativity and Quantum Cosmology · Physics 2013-07-26 Alberto A. Garcia-Diaz

A discussion is given of the conformal Einstein field equations coupled with matter whose energy-momentum tensor is trace-free. These resulting equations are expressed in terms of a generic Weyl connection. The article shows how in the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Christian Lübbe , Juan Antonio Valiente Kroon

It was previously proved that the G\"{o}del-type metrics with flat three-dimensional background metric solve exactly the field equations of the Einstein-Aether theory in four dimensions. We generalize this result by showing that the…

General Relativity and Quantum Cosmology · Physics 2016-04-19 Metin Gurses , Cetin Senturk

First we review some of the attempts made to find exact spherically symmetric solutions of Einstein field equations in the presence of scalar fields .Wyman solution in both static and non static scalar field is discussed briefly and it is…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Mohammad Mehrpooya , D. Momeni

Recently, no-go theorems for the existence of solitonic solutions in Einstein-Maxwell-scalar (EMS) models have been established in arXiv:1902.07721. Here we discuss how these theorems can be circumvented by a specific class of non-minimal…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Carlos A. R. Herdeiro , João M. S. Oliveira , Eugen Radu

We derive a local curvature estimate for four-dimensional stationary solutions to the inheriting Einstein-Maxwell-Klein-Gordon equations. In particular, it implies that any such stationary geodesically complete solution with vanishing…

Differential Geometry · Mathematics 2016-06-21 Bing-Long Chen

We consider the equations for the coefficients of stationary rotating axisymmetric metrics governed by the Einstein-Euler equations, that is, the Einstein equations together with the energy-momentum tensor of a barotropic perfect fluid.…

Analysis of PDEs · Mathematics 2020-09-30 Tetu Makino

Static axisymmetric Einstein-Maxwell-Dilaton and stationary axisymmetric Einstein-Maxwell-Dilaton-Axion (EMDA) theories in four space-time dimensions are shown to be integrable by means of the inverse scattering transform method. The proof…

High Energy Physics - Theory · Physics 2010-11-01 D. V. Gal'tsov

We present a covariant study of static space-times, as such and as solutions of gravity theories. By expressing the relevant tensors through the velocity and the acceleration vectors that characterise static space-times, the field equations…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Carlo Alberto Mantica , Luca Guido Molinari

A nonstatic and circularly symmetric exact solution of the Einstein equations (with a cosmological constant $\Lambda$ and null fluid) in $2+1$ dimensions is given. This is a nonstatic generalization of the uncharged spinless BTZ metric. For…

General Relativity and Quantum Cosmology · Physics 2009-10-22 K. S. Virbhadra

General relativity probably is not the definitive theory of gravity, due a number or issues, both from the theoretical and from the observational point of view. Alternative theories of gravity were conceived to extend general relativity and…

High Energy Astrophysical Phenomena · Physics 2021-05-13 Jacopo Soldateschi , Niccolò Bucciantini , Luca Del Zanna

We explore dynamical features of the maximally symmetric nonlinear extension of classical electromagnetism, recently proposed in the literature as ``ModMax'' electrodynamics. This family of theories is the only one that preserves all the…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Juan Manuel Diaz , Marcelo E. Rubio

We obtain the most general solution of the Einstein electro - vacuum equation for the stationary axially symmetric spacetime in which the Hamilton-Jacobi and Klein - Gordon equations are separable. The most remarkable feature of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Naresh Dadhich , Z. Ya. Turakulov

We develop solution-generating techniques for stationary metrics with one angular momentum and axial symmetry, in the presence of a cosmological constant and in arbitrary spacetime dimension. In parallel we study the related lower…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Christos Charmousis , David Langlois , Daniele Steer , Robin Zegers

We present exact solutions to the Einstein-Maxwell system of equations in spherically symmetric gravitational fields with a specified form of the electric field intensity. The condition of pressure isotropy yields a difference equation with…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. D. Maharaj , K. Komathiraj

In this article, it is shown how the extended conformal Einstein field equations and a gauge based on the properties of conformal geodesics can be used to analyse the non-linear stability of de Sitter-like spacetimes with spatial sections…

General Relativity and Quantum Cosmology · Physics 2024-08-09 Marica Minucci , Juan Antonio Valiente Kroon

Building upon the methods used recently, we establish the inexistence of self-gravitating solitonic solutions for both static and strictly stationary asymptotically flat spacetimes in generalised axion electrodynamics. This is an…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Carlos A. R. Herdeiro , João M. S. Oliveira
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