Bonnor-Melvin universe with a cosmological constant

Abstract

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.

3 pages

Cited by in corpus (23)

• Study of scalar particles through the Klein-Gordon equation under rainbow gravity effects in Bonnor-Melvin-Lambda space-time
• Effects of gravity rainbow on scalar bosonic and oscillator fields in Bonnor-Melvin space-time with a cosmological constant
• Relativistic spin-0 Duffin-Kemmer-Petiau equation in Bonnor-Melvin-Lambda solution
• Mixing "Magnetic'' and "Electric'' Ehlers--Harrison transformations: The Electromagnetic Swirling Spacetime and Novel Type I Backgrounds
• Scalar fields in Bonnor-Melvin Universe with potential: A study of dynamics of spin-0 particles-antiparticles
• Fermion-antifermion pairs in Bonnor-Melvin magnetic space-time with non-zero cosmological constant
• Cosmological magnetic field---the boost-symmetric case
• Quantum dynamics of spin-0 particles in a cosmological space-time
• Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time
• PDM relativistic quantum oscillator in Einstein-Maxwell-Lambda space-time
• Dirty black hole supported by a uniform electric field in Einstein-Nonlinear Electrodynamics-Dilaton theory
• Charged scalar bosons in a Bonnor-Melvin-$\Lambda$ universe at conical approximation
• Hypocycloid motion in the Melvin magnetic universe
• On the Klein-Gordon bosonic fields in the Bonnor-Melvin spacetime with a cosmological constant in rainbow gravity: Bonnor-Melvin Domain Walls
• Cylindrical spacetimes due to radial magnetic fields
• Scalar bosons in Bonnor-Melvin-$\Lambda$ universe: Exact solution, Landau levels and Coulomb-like potential
• Klein-Gordon particles in a nonuniform external magnetic field in Bonnor-Melvin rainbow gravity background
• Uniqueness of dark matter magnetized static black hole spacetime
• Klein-Gordon oscillator subject to a Coulomb-type potential in Bonnor-Melvin universe with a cosmological constant
• Charged scalar boson in Melvin universe
• Scalar and vector bosons in a Bonnor-Melvin-$\Lambda$ spacetime: an exact Duffin-Kemmer-Petiau analysis
• Properties of the magnetic universe with positive cosmological constant
• Bound-state solutions for the charged Dirac oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime