TL;DR
This paper proves variants of singularity theorems in Einstein-Maxwell theory, demonstrating conditions under which spacetime regions of finite lifetime exist, especially when solutions admit a conformal extension.
Contribution
It introduces new singularity theorems tailored for Einstein-Maxwell solutions with conformal extensions, expanding understanding of spacetime singularities.
Findings
Existence of finite lifetime regions in Einstein-Maxwell solutions.
Applicability of the theorems to maximal Cauchy developments.
Conditions for solutions to admit conformal extensions.
Abstract
We prove variants of known singularity theorems ensuring the existence of a region of finite lifetime that are particularly well applicable if the solution admits a conformal extension, a property satisfied e.g. by maximal Cauchy developments of Einstein-Maxwell initial values close to the trivial ones.
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