Melvin universe as a limit of the C-metric
arXiv:gr-qc/0611092 · doi:10.1007/s10714-006-0381-3
Abstract
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.
arXiv comment5 pages, no figures [v2: two references added]
References in corpus (7)
- Interpreting the C-metric
- A new form of the C-metric
- The Melvin Universe in Born-Infeld Theory and other Theories of Non-Linear Electrodynamics
- Accelerated black holes in an anti-de Sitter universe
- Magnetic strings in anti-de Sitter General Relativity
- From p-branes to fluxbranes and back
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Cited by in corpus (8)
- Electromagnetized black holes and swirling backgrounds in nonlinear electrodynamics: The ModMax case
- Electric/magnetic universe with a cosmological constant
- Gyratons on Melvin spacetime
- Hypocycloid motion in the Melvin magnetic universe
- Accelerating electromagnetic magic field from the C-metric
- Static and Dynamic Melvin Universes
- Solenoid configurations and gravitational free energy of the AdS--Melvin spacetime
- Properties of the magnetic universe with positive cosmological constant