Relativistic Static Thin Disks of Polarized Matter

2017/03/01 by Anamaria Navarro, F. D. Lora-Clavijo, Guillermo A. González
Physics and Astronomy · #Axial symmetry #Circular polarization #Cosmology and Gravitation Theories #Electromagnetic radiation #Laplace transform #Metric (unit) #Polarization (electrochemistry) #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #Rotation (mathematics) #astro-ph.GA #gr-qc

paper · pdf · doi:10.1088/1742-6596/831/1/012010

published as J.Phys.Conf.Ser. 831 (2017) no.1, 012010 · 7 pages, 4 figures, 70 and 70 Gravitation Fest, 28 September 2016, Cartagena, Colombia

openalex publication_date 2017/03/01 · openalex created_date 2017/04/14 · arxiv created 2017/04/21 · arxiv updated 2017/04/24 · openalex updated_date 2026/08/05

Abstract

An infinite family of exact solutions of the electrovacuum Einstein-Maxwell equations is presented. The family is static, axially symmetric and describe thin disks composed by electrically polarized material in a conformastatic spacetime. The form of the conformastatic metric allows us to write down the metric functions and the electromagnetic potentials in terms of a solution of the Laplace equation. We find a general expression for the surface energy density of the disk, the pressure, the polarization vector, the electromagnetic fields and the velocity rotation for circular orbits. As an example, we present the first model of the family and show the behavior of the different physical variables.

Citations

• Finite axisymmetric charged dust disks in conformastatic spacetimes
• Monopole and dipole layers in curved spacetimes: Formalism and examples
• Exact relativistic static charged dust discs and non-axisymmetric structures
• Charged perfect fluid disks as sources of Taub-NUT-type spacetimes
• Electrovacuum Static Counter-Rotating Relativistic Dust Disks
• The energy-momentum tensor for a dissipative fluid in general relativity