Relativistic Static Thin Disks of Polarized Matter

70 & 70 Gravitation Fest

Navarro, Anamaria^1 ; Lora-Clavijo, F.D.^1 ; González, Guillermo A.^1

Grupo de Investigación en Relatividad y Gravitación, Escuela de Física, Universidad Industrial de Santander, A. A. 678, Bucaramanga

680002, Colombia^1

关键词: Axially symmetric;    Einstein-Maxwell equations;    Electromagnetic potentials;    General expression;    Physical variables;    Polarization vectors;    Polarized materials;    Surface energy density;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/831/1/012010/pdf
DOI  :  10.1088/1742-6596/831/1/012010

来源: IOP

【 摘 要 】

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.