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Non radiative solutions of the energy critical non linear wave equation are global solutions $u$ that furthermore have vanishing asymptotic energy outside the lightcone at both $t \to \pm \infty$:\[ \lim_{t \to \pm \infty} \| \nabla_{t,x}…

Analysis of PDEs · Mathematics 2025-02-11 Raphaël Côte , Camille Laurent

Within the framework of General Relativity a model approach to a description of spherical gravitating static fluid balls with an electric charge is considered. The metric interval is written in Bondi's radiation coordinates. The total…

General Relativity and Quantum Cosmology · Physics 2012-01-24 Alexandre M. Baranov , Zakhar V. Vlasov

We study Robinson-Trautman spacetimes in the presence of an aligned p-form Maxwell field and an arbitrary cosmological constant in n>=4 dimensions. As it turns out, the character of these exact solutions depends significantly on the…

General Relativity and Quantum Cosmology · Physics 2015-03-03 Marcello Ortaggio , Jiri Podolsky , Martin Zofka

We argue that the Einstein-Yang-Mills theory presents nontrivial solutions with a NUT charge. These solutions approach asymptotically the Taub-NUT spacetime. They are characterized by the NUT parameter, the mass and the node numbers of the…

High Energy Physics - Theory · Physics 2009-11-07 Eugen Radu

In this report the exact rotating charged black hole solution to the Einstein--nonlinear electrodynamics theory with a cosmological constant is presented. This black hole is equipped with mass, rotation parameter, electric and magnetic…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Alberto A. García Díaz

We discuss the static axially symmetric regular solutions, obtained recently in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory [1]. These asymptotically flat solutions are characterized by the winding number $n>1$ and the node…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz

We use the model approach to the description of spherical gravitating static fluid ball with an electric charge in general relativity. The metric is written in Bondi's coordinates. The total energy-momentum tensor (EMT) is chosen as a sum…

General Relativity and Quantum Cosmology · Physics 2011-12-30 Alexandre M. Baranov , Zakhar V. Vlasov

We investigate time-dependent spherically symmetric solutions of the four-dimensional Einstein-Maxwell-axion-dilaton system, with the dilaton coupling that occurs in low-energy effective heterotic string theory. A class of…

High Energy Physics - Theory · Physics 2017-05-17 Pedro Aniceto , Jorge V. Rocha

We introduce a physical characterization of the static and stationary perfect fluid solutions of the Einstein field equations with a single or 2-component perfect fluid sources, according to their gravitoelectric and gravitomagnetic fields.…

General Relativity and Quantum Cosmology · Physics 2025-07-02 M. Nouri-Zonoz , A. Nouri-Zonoz

I derive an exact, static, axially symmetric solution of the Einstein-Maxwell equations representing two massless magnetic dipoles, and compare it with the corresponding solution of Einstein's equations for two massless spinning particles…

General Relativity and Quantum Cosmology · Physics 2009-11-07 W. B. Bonnor

Two classes of stationary axisymmetric solutions of Einstein's equations for isolated differentially rotating matter sources are presented. The asymptotic regime is extracted, with attention to quasilocal gravitational energy, shear and…

General Relativity and Quantum Cosmology · Physics 2025-06-12 Marco Galoppo , David L. Wiltshire

By introducing external Maxwell and gravitational fields we modify the Bonnor--Vaidya field of an arbitrarily accelerating charged mass moving rectilinearly in order to satisfy the vacuum Einstein--Maxwell field equations approximately,…

General Relativity and Quantum Cosmology · Physics 2021-02-22 Peter A. Hogan , Dirk Puetzfeld

Nowadays, the magnetic and radiation fields are very important to understand the matter accretion into compact objects, the dynamics of binary systems, the equilibrium configurations of neutron stars, the photon diffusion, etc. The energy…

General Relativity and Quantum Cosmology · Physics 2017-04-13 Oscar M. Pimentel , F. D. Lora-Clavijo , Guillermo A. González

We review explicit solutions to the stationary axisymmetric Einstein-Maxwell equations which can be interpreted as disks of charged dust. The disks of finite or infinite extension are infinitesimally thin and constitute a surface layer at…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Klein

We extend the Vaidya radiating metric to include both a radiation field and a string fluid. Assuming diffusive transport for the string fluid, we find new analytic solutions of Einstein's field equations. Our new solutions represent an…

General Relativity and Quantum Cosmology · Physics 2010-01-06 E. N. Glass , J. P. Krisch

We prove the existence of static, asymptotically flat non-vacuum spacetimes with axial symmetry where the matter is modeled as a collisionless gas. The axially symmetric solutions of the resulting Einstein-Vlasov system are obtained via the…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Hakan Andreasson , Markus Kunze , Gerhard Rein

We perform a systematic study of rotating charged fluids, and extend several well known theorems regarding static Weyl-type systems which were recently compiled by Lemos and Zanchin [Phys. Rev. D 80, 024010 (2009)] to rotating and…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Marcos L. W. Basso , Vilson T. Zanchin

We set up and analyze a model of radiation damping within the framework of continuum mechanics, inspired by a model of post-Newtonian hydrodynamics due to Blanchet, Damour and Schaefer. In order to simplify the problem as much as possible…

Mathematical Physics · Physics 2015-06-26 Markus Kunze , Alan D. Rendall

We consider a self-gravitating, rigidly rotating charged perfect fluid immersed in the Wald magnetosphere, constructed out of two linearly independent Killing vectors present in stationary and axially-symmetric spacetimes. We show that in…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Paweł Doruchowski , Patryk Mach , Audrey Trova , Bakhtinur Juraev

This article presents the generalization of a zero spin hydrogen atom to a relativistic atomic model of hydrogen with dyons using the Klein--Gordon equation. The derivation of the Klein--Gordon equation for the particle of relative motion…

Quantum Physics · Physics 2022-10-31 Edison Fernando García Veloz , Clara Rojas
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