Relativistic static magnetized finite thin disk: An infinite family of exact solutions

Details Relativistic static magnetized finite thin disk: An infinite family of exact solutions Relativistic static magnetized finite thin disk: An infinite family of exact solutions

2010-06-10

arxiv.org/abs/1006.2032v2

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

Replaced with revised version. Prepared for the Proceedings of Spanish Relativity Meeting (ERE2010), Granada, Spain, 6-10 Sept

Scientific paper

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\'y-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

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