Is there a novel Einstein–Gauss–Bonnet theory in four dimensions?

Üniversitemiz öğretim üyelerinden Prof. Dr. Bayram Tekin’in yazarları arasında bulunduğu “Is there a novel Einstein–Gauss–Bonnet theory in four dimensions?” başlıklı makale European Physical Journal C’de yayınlandı.

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.

Gürses, M., Şişman, T. Ç., & Tekin, B. (2020). Is there a novel Einstein–Gauss–Bonnet theory in four dimensions? European Physical Journal C, 80(7) doi:10.1140/epjc/s10052-020-8200-7

Makaleye erişim için: https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-020-8200-7

Diğer Yazarlar:

Gürses M., & Şişman T.Ç.