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Melvin universe as a limit of the C-metric
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It is demonstrated that the Melvin universe representing the spacetime with a strong 'homogeneous' electric field can by obtained from the spacetime of two accelerated charged black holes by a suitable limiting procedure. The behavior of various invariantly defined geometrical quantities in this limit is also studied.
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Cited by 2 Pith papers
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Magnetising de Sitter and Anti-de Sitter spacetimes
A Harrison-type map plus fluid rescaling produces spherical Melvin analogues of dS and AdS that reduce to ordinary (A)dS when the magnetic field vanishes.
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Properties of the magnetic universe with positive cosmological constant
The paper works out the geometry, flux, and geodesics of the Melvin magnetic universe with a positive cosmological constant, showing its two-sphere section is compact and carries a conical singularity, with a Freund-R...
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