Stability of the de-Sitter universe: one-loop nonlocal f (R) gravity
Abstract
With the method of the background field expansion, we investigate the one-loop quantization of the Euclidean nonlocal f (R) model in the de-Sitter universe. We obtain the ghost-free condition (GFC) based on the transformation from the Jordan frame to the Einstein frame and the classical stability condition (CSC) satisfied ${f}_{RR}^{\left(0\right)}-{φ }0{F}_{RR}^{\left(0\right)}<0$. We present the on-shell and off-shell one-loop effective action and quantum stability condition (QSC) by utilizing the generalized zeta-function. We find that under the fulfillment of GFC, CSC and QSC are inconsistent.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- May 2024
- DOI:
- 10.1007/JHEP05(2024)115
- arXiv:
- arXiv:2312.11908
- Bibcode:
- 2024JHEP...05..115F
- Keywords:
-
- Models of Quantum Gravity;
- de Sitter space;
- Spacetime Singularities;
- General Relativity and Quantum Cosmology
- E-Print:
- 26 pages,0 figure