When Painlevé–Gullstrand coordinates fail
Abstract Painlevé–Gullstrand coordinates, a very useful tool in spherical horizon thermodynamics, fail in anti-de Sitter space and in the inner region of Reissner–Nordström. We predict this breakdown to occur in any region containing negative Misner–Sharp–Hernandez quasilocal mass because of repulsi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-08-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-8345-4 |
| _version_ | 1818328223298093056 |
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| author | Valerio Faraoni Geneviève Vachon |
| author_facet | Valerio Faraoni Geneviève Vachon |
| author_sort | Valerio Faraoni |
| collection | DOAJ |
| description | Abstract Painlevé–Gullstrand coordinates, a very useful tool in spherical horizon thermodynamics, fail in anti-de Sitter space and in the inner region of Reissner–Nordström. We predict this breakdown to occur in any region containing negative Misner–Sharp–Hernandez quasilocal mass because of repulsive gravity stopping the motion of PG observers, which are in radial free fall with zero initial velocity. PG coordinates break down also in the static Einstein universe for completely different reasons. The more general Martel-Poisson family of charts, which normally has PG coordinates as a limit, is reported for static cosmologies (de Sitter, anti-de Sitter and the static Einstein universe). |
| first_indexed | 2024-12-13T12:28:45Z |
| format | Article |
| id | doaj.art-3997ea7240f444f689e2042edc599ecb |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-13T12:28:45Z |
| publishDate | 2020-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-3997ea7240f444f689e2042edc599ecb2022-12-21T23:46:08ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-08-018081910.1140/epjc/s10052-020-8345-4When Painlevé–Gullstrand coordinates failValerio Faraoni0Geneviève Vachon1Department of Physics and Astronomy, Bishop’s UniversityDepartment of Physics and Astronomy, Bishop’s UniversityAbstract Painlevé–Gullstrand coordinates, a very useful tool in spherical horizon thermodynamics, fail in anti-de Sitter space and in the inner region of Reissner–Nordström. We predict this breakdown to occur in any region containing negative Misner–Sharp–Hernandez quasilocal mass because of repulsive gravity stopping the motion of PG observers, which are in radial free fall with zero initial velocity. PG coordinates break down also in the static Einstein universe for completely different reasons. The more general Martel-Poisson family of charts, which normally has PG coordinates as a limit, is reported for static cosmologies (de Sitter, anti-de Sitter and the static Einstein universe).http://link.springer.com/article/10.1140/epjc/s10052-020-8345-4 |
| spellingShingle | Valerio Faraoni Geneviève Vachon When Painlevé–Gullstrand coordinates fail European Physical Journal C: Particles and Fields |
| title | When Painlevé–Gullstrand coordinates fail |
| title_full | When Painlevé–Gullstrand coordinates fail |
| title_fullStr | When Painlevé–Gullstrand coordinates fail |
| title_full_unstemmed | When Painlevé–Gullstrand coordinates fail |
| title_short | When Painlevé–Gullstrand coordinates fail |
| title_sort | when painleve gullstrand coordinates fail |
| url | http://link.springer.com/article/10.1140/epjc/s10052-020-8345-4 |
| work_keys_str_mv | AT valeriofaraoni whenpainlevegullstrandcoordinatesfail AT genevievevachon whenpainlevegullstrandcoordinatesfail |