Asymptotically flat Einstein-Maxwell fields are inheriting
Piotr T. Chrusciel, Luc Nguyen, Paul Tod, Andras Vasy
TL;DR
This paper proves that in asymptotically flat Einstein-Maxwell solutions, the Maxwell fields automatically inherit the stationarity property of the spacetime metric, indicating a deep connection between the metric and electromagnetic field symmetries.
Contribution
The authors establish a rigorous proof that Maxwell fields inherit the stationarity of the metric in asymptotically flat Einstein-Maxwell solutions, extending understanding of symmetry inheritance.
Findings
Maxwell fields inherit the stationarity of the metric.
The proof applies to asymptotically flat solutions.
Symmetry inheritance is rigorously demonstrated.
Abstract
We prove that Maxwell fields of asymptotically flat solutions of the Einstein-Maxwell equations inherit the stationarity of the metric.
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