Electric/magnetic universe with a cosmological constant

Abstract

A spacetime consisting of parallel electric/magnetic fields held together by its own gravity in the presence of a cosmological constant $\Lambda$ is derived as a limit of the de Sitter/anti-de Sitter C-metric. The limiting procedure is similar to the $\Lambda =0$ case where the Melvin universe is derived from the C-metric. Under an appropriate coordinate transformation, we show that this solution is equivalent to the solution obtained by Astorino. Some physical and geometrical properties of the solution are studied, as well as its geodesics. For $\Lambda <0$, the solution is asymptotically locally anti-de Sitter, and can be derived as a double-Wick rotation of a charged anti-de Sitter black hole with a planar horizon.

arXiv comment21 pages, 2 figures. References added and typos corrected

References in corpus (26)

• Cosmological Magnetic Fields: Their Generation, Evolution and Observation
• The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
• Interpreting the C-metric
• An Anti-Glitch in a Magnetar
• A new form of the C-metric
• Pair of accelerated black holes in an anti-de Sitter background: the AdS C-metric
• Generating branes via sigma-models
• Accelerating black holes in anti-de Sitter universe
• Charging axisymmetric space-times with cosmological constant
• On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions
• Axisymmetric metrics in arbitrary dimensions
• Accelerated black holes in an anti-de Sitter universe
• Pair of accelerated black holes in a de Sitter background: the dS C-metric
• Higher dimensional black holes in external magnetic fields
• Uniformly accelerating black holes in a de Sitter universe
• Magnetized black holes and black rings in the higher dimensional dilaton gravity
• Gyratons on direct-product spacetimes
• Deformed hyperbolic black holes
• The Schwarzschild-Black String AdS Soliton: Instability and Holographic Heat Transport
• Gyratons on Melvin spacetime
• A new form of the C-metric with cosmological constant
• Accelerating a Black Hole in Higher Dimensions
• Melvin universe as a limit of the C-metric
• Cohomogeneity-1 solutions in Einstein-Maxwell-dilaton gravity
• Gravitational field of gyratons on various background spacetimes
• The gyraton solutions on generalized Melvin universe with cosmological constant

Cited by in corpus (11)

• Supersymmetric solitons and a degeneracy of solutions in AdS/CFT
• Electromagnetized black holes and swirling backgrounds in nonlinear electrodynamics: The ModMax case
• Geometry of AdS-Melvin Spacetimes
• Hypocycloid motion in the Melvin magnetic universe
• Complexity, scaling, and a phase transition
• Cylindrical spacetimes due to radial magnetic fields
• Uniqueness of dark matter magnetized static black hole spacetime
• On the possibility of classical vacuum polarization and magnetization
• Solenoid configurations and gravitational free energy of the AdS--Melvin spacetime
• Charged scalar boson in Melvin universe
• Properties of the magnetic universe with positive cosmological constant