Bonnor-Melvin universe with a cosmological constant
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🌀 gr-qc
keywords
bonnor-melvinconstantcosmologicalsolutioncasecylindricallyeinstein-maxwellequations
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We generalize the well-known Bonnor-Melvin solution of the Einstein-Maxwell equations to the case of a non-vanishing cosmological constant. The spacetime is again cylindrically symmetric and static but, unlike the original solution, it truly represents a homogeneous magnetic field.
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Cited by 1 Pith paper
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Thermodynamics of homogeneous Universes: de Sitter, Bonnor-Melvin and static Einstein
De Sitter, Bonnor-Melvin-Λ and static Einstein universes share the same thermodynamic energy-density equation despite dissimilar matter fields, yielding zero cosmological constant in Minkowski vacuum.
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