Exact General Relativistic Disks with Magnetic Fields

Details Exact General Relativistic Disks with Magnetic Fields Exact General Relativistic Disks with Magnetic Fields

1999-07-13

arxiv.org/abs/gr-qc/9907050v1

Phys.Rev. D60 (1999) 104042

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 11 figures, uses package graphics, accepted in PRD

Scientific paper

10.1103/PhysRevD.60.104042

The well-known ``displace, cut, and reflect'' method used to generate cold disks from given solutions of Einstein equations is extended to solutions of Einstein-Maxwell equations. Four exact solutions of the these last equations are used to construct models of hot disks with surface density, azimuthal pressure, and azimuthal current. The solutions are closely related to Kerr, Taub-NUT, Lynden-Bell-Pinault and to a one-soliton solution. We find that the presence of the magnetic field can change in a nontrivial way the different properties of the disks. In particular, the pure general relativistic instability studied by Bicak, Lynden-Bell and Katz [Phys. Rev. D47, 4334, 1993] can be enhanced or cured by different distributions of currents inside the disk. These currents, outside the disk, generate a variety of axial symmetric magnetic fields. As far as we know these are the first models of hot disks studied in the context of general relativity.

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