An infinite family of relativistic magnetized finite thin disks

An infinite family of relativistic finite thin disk model with magnetic field is presented. The model is obtained for solving the Einstein-Maxwell equations for static spacetimes by means of the Horsk-Mitskievitch generating conjecture. The vacuum limit of these obtained solutions is the well known...

Full description

Autores:
Tipo de recurso:
Fecha de publicación:
2011
Institución:
Universidad Tecnológica de Bolívar
Repositorio:
Repositorio Institucional UTB
Idioma:
eng
OAI Identifier:
oai:repositorio.utb.edu.co:20.500.12585/9114
Acceso en línea:
https://hdl.handle.net/20.500.12585/9114
Palabra clave:
Magnetic fields
Maxwell equations
Einstein Maxwell equations
Energy condition
Energy-momentum tensor
Oblate spheroidal coordinates
Physical quantities
Thin disk
Relativity
Rights
restrictedAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
Description
Summary:An infinite family of relativistic finite thin disk model with magnetic field is presented. The model is obtained for solving the Einstein-Maxwell equations for static spacetimes by means of the Horsk-Mitskievitch generating conjecture. The vacuum limit of these obtained solutions is the well known Morgan and Morgan solution. The obtained expressions are simply written in terms of oblate spheroidal coordinates. The mass of the disks are finite and the energy-momentum tensor agrees with all the energy conditions. The magnetic field and the circular velocity are evaluated explicitly. All the physical quantities obtained shown an acceptable behavior © Published under licence by IOP Publishing Ltd.