Extremally charged line
Ji\v{r}\'i Ryzner, Martin \v{Z}ofka
TL;DR
This paper analyzes a static, cylindrically symmetric Einstein-Maxwell solution with extremal charge, exploring its singularities, asymptotic behavior, geodesics, and physical parameters to understand its spacetime structure.
Contribution
It provides a detailed analysis of a Majumdar-Papapetrou-type solution with extremal charge, including its singularities, algebraic type, and physical interpretation.
Findings
Identification of singularities and their locations
Determination of the spacetime's algebraic type
Analysis of asymptotic and weak-field behavior
Abstract
We investigate the properties of a static, cylindrically symmetric Majumdar-Papapetrou-type solution of Einstein-Maxwell equations. We locate its singularities, establish its algebraic type, find its asymptotic properties and weak-field limit, study the structure of electrogeodesics, and determine the mass and charge of its sources. We provide an interpretation of the spacetime and discuss the parameter appearing in the metric.
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