Visualization of the Gödel universe
The standard model of modern cosmology, which is based on the Friedmann–Lemaître–Robertson–Walker metric, allows the definition of an absolute time. However, there exist (cosmological) models consistent with the theory of general relativity for which such a definition cannot be given since they offe...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2013-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/15/1/013063 |
| _version_ | 1797751713775484928 |
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| author | M Buser E Kajari W P Schleich |
| author_facet | M Buser E Kajari W P Schleich |
| author_sort | M Buser |
| collection | DOAJ |
| description | The standard model of modern cosmology, which is based on the Friedmann–Lemaître–Robertson–Walker metric, allows the definition of an absolute time. However, there exist (cosmological) models consistent with the theory of general relativity for which such a definition cannot be given since they offer the possibility for time travel. The simplest of these models is the cosmological solution discovered by Kurt Gödel, which describes a homogeneous, rotating universe. Disregarding the paradoxes that come along with the abolishment of causality in such space–times, we are interested in the purely academic question of how an observer would visually perceive the time travel of an object in Gödel's universe. For this purpose, we employ the technique of ray tracing, a standard tool in computer graphics, and visualize various scenarios to bring out the optical effects experienced by an observer located in this universe. In this way, we provide a new perspective on the space–time structure of Gödel's model. |
| first_indexed | 2024-03-12T16:53:35Z |
| format | Article |
| id | doaj.art-60dfbb545d0a4b83b4e1605c8b599ad3 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:53:35Z |
| publishDate | 2013-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-60dfbb545d0a4b83b4e1605c8b599ad32023-08-08T11:03:55ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115101306310.1088/1367-2630/15/1/013063Visualization of the Gödel universeM Buser0E Kajari1W P Schleich2Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm , Albert-Einstein-Allee 11, D-89069 Ulm, GermanyInstitut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm , Albert-Einstein-Allee 11, D-89069 Ulm, GermanyInstitut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm , Albert-Einstein-Allee 11, D-89069 Ulm, GermanyThe standard model of modern cosmology, which is based on the Friedmann–Lemaître–Robertson–Walker metric, allows the definition of an absolute time. However, there exist (cosmological) models consistent with the theory of general relativity for which such a definition cannot be given since they offer the possibility for time travel. The simplest of these models is the cosmological solution discovered by Kurt Gödel, which describes a homogeneous, rotating universe. Disregarding the paradoxes that come along with the abolishment of causality in such space–times, we are interested in the purely academic question of how an observer would visually perceive the time travel of an object in Gödel's universe. For this purpose, we employ the technique of ray tracing, a standard tool in computer graphics, and visualize various scenarios to bring out the optical effects experienced by an observer located in this universe. In this way, we provide a new perspective on the space–time structure of Gödel's model.https://doi.org/10.1088/1367-2630/15/1/013063 |
| spellingShingle | M Buser E Kajari W P Schleich Visualization of the Gödel universe New Journal of Physics |
| title | Visualization of the Gödel universe |
| title_full | Visualization of the Gödel universe |
| title_fullStr | Visualization of the Gödel universe |
| title_full_unstemmed | Visualization of the Gödel universe |
| title_short | Visualization of the Gödel universe |
| title_sort | visualization of the godel universe |
| url | https://doi.org/10.1088/1367-2630/15/1/013063 |
| work_keys_str_mv | AT mbuser visualizationofthegodeluniverse AT ekajari visualizationofthegodeluniverse AT wpschleich visualizationofthegodeluniverse |