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- Title
Is there a novel Einstein–Gauss–Bonnet theory in four dimensions?
- Authors
Gürses, Metin; Şişman, Tahsin Çağrı; Tekin, Bayram
- Abstract
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.
- Subjects
DIMENSION theory (Algebra); DEFINITIONS; SPACETIME
- Publication
European Physical Journal C -- Particles & Fields, 2020, Vol 80, Issue 7, pN.PAG
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-020-8200-7