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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| Format: | Journal article |
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Institute of Physics
2018
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| _version_ | 1797055313803739136 |
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| author | Sbierski, J |
| author_facet | Sbierski, J |
| author_sort | Sbierski, J |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T19:08:55Z |
| format | Journal article |
| id | oxford-uuid:161c4721-b31f-4cba-8611-9c7262e714a7 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:08:55Z |
| publishDate | 2018 |
| publisher | Institute of Physics |
| record_format | dspace |
| spelling | oxford-uuid:161c4721-b31f-4cba-8611-9c7262e714a72022-03-26T10:29:20ZOn the proof of the C0-inextendibility of the Schwarzschild spacetimeJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:161c4721-b31f-4cba-8611-9c7262e714a7Symplectic Elements at OxfordInstitute of Physics2018Sbierski, JThis 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. |
| spellingShingle | Sbierski, J On the proof of the C0-inextendibility of the Schwarzschild spacetime |
| title | On the proof of the C0-inextendibility of the Schwarzschild spacetime |
| title_full | On the proof of the C0-inextendibility of the Schwarzschild spacetime |
| title_fullStr | On the proof of the C0-inextendibility of the Schwarzschild spacetime |
| title_full_unstemmed | On the proof of the C0-inextendibility of the Schwarzschild spacetime |
| title_short | On the proof of the C0-inextendibility of the Schwarzschild spacetime |
| title_sort | on the proof of the c0 inextendibility of the schwarzschild spacetime |
| work_keys_str_mv | AT sbierskij ontheproofofthec0inextendibilityoftheschwarzschildspacetime |