When Painlevé–Gullstrand coordinates fail
| Autor: | Valerio Faraoni, Geneviève Vachon |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics and Astronomy (miscellaneous)
media_common.quotation_subject Motion (geometry) lcsh:Astrophysics Space (mathematics) 01 natural sciences symbols.namesake General Relativity and Quantum Cosmology De Sitter universe 0103 physical sciences lcsh:QB460-466 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Limit (mathematics) Einstein 010306 general physics Engineering (miscellaneous) Mathematical physics media_common Physics 010308 nuclear & particles physics Zero (complex analysis) Universe Horizon (general relativity) symbols lcsh:QC770-798 Regular Article - Theoretical Physics |
| Zdroj: | European Physical Journal C: Particles and Fields, Vol 80, Iss 8, Pp 1-9 (2020) The European Physical Journal. C, Particles and Fields European Physical Journal |
| ISSN: | 1434-6052 1434-6044 |
| DOI: | 10.1140/epjc/s10052-020-8345-4 |
| Popis: | 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). |
| Databáze: | OpenAIRE |
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