Article detail · 2020
Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
- Year
- 2020
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue EUROPEAN PHYSICAL JOURNAL C
- Catalog match (ISSN) European Physical Journal C
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
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.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
226 citations
OpenAlex cited_by_count (cache / database)
14 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime" 2020
- Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime" 2020
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