On the proof of the C<sup>0</sup>-inextendibility of the Schwarzschild spacetime

Author: 

Sbierski, J

Publication Date: 

22 February 2018

Journal: 

Journal of Physics: Conference Series

Last Updated: 

2021-06-01T20:12:26.9+01:00

Issue: 

1

Volume: 

968

DOI: 

10.1088/1742-6596/968/1/012012

abstract: 

© Published under licence by IOP Publishing Ltd. 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.

Symplectic id: 

819442

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article