Newman Tamburino solutions with an aligned Maxwell field
Liselotte De Groote, Norbert Van den Bergh
TL;DR
This paper proves that Newman Tamburino solutions cannot be generalized with an aligned Maxwell field in a spherical class, and such fields necessarily lead to cylindrical solutions.
Contribution
It establishes a no-go theorem for aligned Einstein-Maxwell generalizations of spherical Newman Tamburino solutions.
Findings
No aligned Einstein-Maxwell spherical solutions exist.
Aligned Maxwell fields induce cylindrical solutions.
The result clarifies the structure of Einstein-Maxwell solutions.
Abstract
We prove that there exists no aligned Einstein Maxwell generalization of the spherical class of Newman Tamburino solutions. The presence of an aligned Maxwell field automatically leads to the cylindrical class.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations · Advanced Mathematical Physics Problems