Cosmological magnetic field---the boost-symmetric case
Ji\v{r}\'i Vesel\'y, Martin \v{Z}ofka
TL;DR
This paper introduces a new class of static, cylindrically symmetric electrovacuum solutions with a non-homogeneous magnetic field, incorporating the cosmological constant and a parameter that sets the magnetic field's strength.
Contribution
It presents a novel family of exact solutions describing magnetic fields in a cosmological context with a simple source model.
Findings
Derived explicit metric solutions for the magnetic field configurations.
Identified the role of the cosmological constant and parameters in shaping the solutions.
Provided a model for the physical source of the magnetic field.
Abstract
We find a class of cylindrically symmetric, static electrovacuum spacetimes generated by a non-homogeneous magnetic field and involving the cosmological constant and one additional parameter, which determine uniquely the strength of the magnetic field. We provide a simple model of a source producing the field.
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