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arxiv: 1903.08563 · v1 · pith:TM7BFSYXnew · submitted 2019-03-20 · 🌀 gr-qc

Bonnor-Melvin universe with a cosmological constant

classification 🌀 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

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Thermodynamics of homogeneous Universes: de Sitter, Bonnor-Melvin and static Einstein

    gr-qc 2026-05 unverdicted novelty 4.0

    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.