Is there a novel Einstein–Gauss–Bonnet theory in four dimensions?
Abstract No! We show that the field equations of Einstein–Gauss–Bonnet theory defined in generic $$D>4$$ D>4 dimensions split into two parts one of which always remains higher dimensional, and hence the theory does not have a non-trivial limit to $$D=4$$ D=4 . Therefore, the recently introduce...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-8200-7 |
| _version_ | 1819172832848904192 |
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| author | Metin Gürses Tahsin Çağrı Şişman Bayram Tekin |
| author_facet | Metin Gürses Tahsin Çağrı Şişman Bayram Tekin |
| author_sort | Metin Gürses |
| collection | DOAJ |
| description | Abstract No! We show that the field equations of Einstein–Gauss–Bonnet theory defined in generic $$D>4$$ D>4 dimensions split into two parts one of which always remains higher dimensional, and hence the theory does not have a non-trivial limit to $$D=4$$ D=4 . Therefore, the recently introduced four-dimensional, novel, Einstein–Gauss–Bonnet theory does not admit an intrinsically four-dimensional definition, in terms of metric only, as such it does not exist in four dimensions. The solutions (the spacetime, the metric) always remain $$D>4$$ D>4 dimensional. As there is no canonical choice of 4 spacetime dimensions out of D dimensions for generic metrics, the theory is not well defined in four dimensions. |
| first_indexed | 2024-12-22T20:13:27Z |
| format | Article |
| id | doaj.art-d4173f5193d54bf9ad81c2d6fab8a052 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-22T20:13:27Z |
| publishDate | 2020-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-d4173f5193d54bf9ad81c2d6fab8a0522022-12-21T18:14:01ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-07-018071610.1140/epjc/s10052-020-8200-7Is there a novel Einstein–Gauss–Bonnet theory in four dimensions?Metin Gürses0Tahsin Çağrı Şişman1Bayram Tekin2Department of Mathematics, Faculty of Sciences, Bilkent UniversityDepartment of Astronautical Engineering, University of Turkish Aeronautical AssociationDepartment of Physics, Middle East Technical UniversityAbstract No! We show that the field equations of Einstein–Gauss–Bonnet theory defined in generic $$D>4$$ D>4 dimensions split into two parts one of which always remains higher dimensional, and hence the theory does not have a non-trivial limit to $$D=4$$ D=4 . Therefore, the recently introduced four-dimensional, novel, Einstein–Gauss–Bonnet theory does not admit an intrinsically four-dimensional definition, in terms of metric only, as such it does not exist in four dimensions. The solutions (the spacetime, the metric) always remain $$D>4$$ D>4 dimensional. As there is no canonical choice of 4 spacetime dimensions out of D dimensions for generic metrics, the theory is not well defined in four dimensions.http://link.springer.com/article/10.1140/epjc/s10052-020-8200-7 |
| spellingShingle | Metin Gürses Tahsin Çağrı Şişman Bayram Tekin Is there a novel Einstein–Gauss–Bonnet theory in four dimensions? European Physical Journal C: Particles and Fields |
| title | Is there a novel Einstein–Gauss–Bonnet theory in four dimensions? |
| title_full | Is there a novel Einstein–Gauss–Bonnet theory in four dimensions? |
| title_fullStr | Is there a novel Einstein–Gauss–Bonnet theory in four dimensions? |
| title_full_unstemmed | Is there a novel Einstein–Gauss–Bonnet theory in four dimensions? |
| title_short | Is there a novel Einstein–Gauss–Bonnet theory in four dimensions? |
| title_sort | is there a novel einstein gauss bonnet theory in four dimensions |
| url | http://link.springer.com/article/10.1140/epjc/s10052-020-8200-7 |
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