Is there a novel Einstein–Gauss–Bonnet theory in four dimensions?
European Physical Journal C, cilt.80, sa.7, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 80 Sayı: 7
- Basım Tarihi: 2020
- Doi Numarası: 10.1140/epjc/s10052-020-8200-7
- Dergi Adı: European Physical Journal C
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, zbMATH, Directory of Open Access Journals
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Hacettepe Üniversitesi Adresli: Hayır
Özet
No! We show that the field equations of Einstein–Gauss–Bonnet theory defined in generic 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. 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 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.