Differentially rotating charged dust with a force-free electromagnetic field. II

Wils, P.; Blergh, N Van den

doi:10.1088/0264-9381/1/4/012

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1984

2002

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Cited by 6 publications

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Lorentz Force Free Charged Fluids in General Relativity: The Physical Interpretation

Mitskievich

Exact Solutions and Scalar Fields in Gravity

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The Lorentz force free Einstein-Maxwell-Euler self-consistent solutions are interpreted as containing a superposition of the proper electromagnetic field created by the charged perfect fluid and a magnetic-type sourceless field which exactly compensates electric field of the charged fluid in its comoving frame of reference. It is shown that this situation can be easily described also in special relativity, even for essentially non-relativistic charged fluids.

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Lorentz Force Free Charged Fluids in General Relativity: The Physical Interpretation

Mitskievich

Exact Solutions and Scalar Fields in Gravity

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Rotating ideal magnetohydrodynamic flow in General relativity

Khater

Mourad

1989

Astrophys Space Sci

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Rotating dust solutions of Einstein’s equations with three-dimensional symmetry groups. III. All Killing fields linearly independent of uα and wα

Krasiński

1998

Journal of Mathematical Physics

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Abstract. This is the third and last part of a series of 3 papers. Using the same method and the same coordinates as in parts 1 and 2, rotating dust solutions of Einstein's equations are investigated that possess 3-dimensional symmetry groups, under the assumption that each of the Killing vectors is linearly independent of velocity u α and rotation w α at every point of the spacetime region under consideration. The Killing fields are found and the Killing equations are solved for the components of the metric tensor in every case that arises. No progress was made with the Einstein equations in any of the cases, and no previously known solutions were identified. A brief overview of literature on solutions with rotating sources is given.

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Differentially rotating charged dust with a force-free electromagnetic field. II

Abstract: For pt.I see ibid., vol.1, p.199 (1984). It is proved that a stationary axisymmetric (non-cylindrically symmetric) differentially rotating charged dust distribution has a non-vanishing Lorentz force or a non-constant ratio of the charge density to the mass density.

Cited by 6 publications

References 5 publications

Lorentz Force Free Charged Fluids in General Relativity: The Physical Interpretation

Lorentz Force Free Charged Fluids in General Relativity: The Physical Interpretation

Rotating ideal magnetohydrodynamic flow in General relativity

Rotating dust solutions of Einstein’s equations with three-dimensional symmetry groups. III. All Killing fields linearly independent of uα and wα

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