On the proof of the C0-inextendibility of the Schwarzschild spacetime

This article presents a streamlined version of the author's original proof of the C 0 -inextendibility of the maximal analytic Schwarzschild spacetime. Firstly, we deviate from the original proof by using the result, recently established in collaboration with Galloway and Ling, that given a C 0...

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Bibliographic Details
Main Author: Sbierski, J
Format: Journal article
Published: Institute of Physics 2018
Description
Summary:This article presents a streamlined version of the author's original proof of the C 0 -inextendibility of the maximal analytic Schwarzschild spacetime. Firstly, we deviate from the original proof by using the result, recently established in collaboration with Galloway and Ling, that given a C 0 -extension of a globally hyperbolic spacetime, one can find a timelike geodesic that leaves this spacetime. This result much simplifies the proof of the inextendibility through the exterior region of the Schwarzschild spacetime. Secondly, we give a more flexible and shorter argument for the inextendibility through the interior region. Furthermore, we present a small new structural result for the boundary of a globally hyperbolic spacetime within a C 0 -extension which serves as a new and simpler starting point for the proof.