Inflationary universe from higher-derivative quantum gravity

2014/12/31 by Ratbay Myrzakulov, Sergei D. Odintsov, Sergei Odintsov +1 · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #De Sitter universe #Effective action #Friedmann–Lemaître–Robertson–Walker metric #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Planck #Quantum #Quantum gravity #Quantum mechanics #Universe #astro-ph.CO #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.91.083529

published as Phys.Rev. D91 (2015) 8, 083529 · final version, 17 pages, accepted in Phys. Rev. D

arxiv created 2015/04/08 · openalex publication_date 2015/04/22 · arxiv updated 2015/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider higher-derivative quantum gravity where the renormalization-group-improved effective action beyond the one-loop approximation is derived. Using this effective action, the quantum-corrected Friedmann-Robertson-Walker (FRW) equations are analyzed. The de Sitter universe solution is found. It is demonstrated that such a de Sitter inflationary universe is unstable. The slow-roll inflationary parameters are calculated. The contribution of the renormalization-group-improved Gauss-Bonnet term to the quantum-corrected FRW equations as well as to the instability of the de Sitter universe is estimated. It is demonstrated that in this case, the spectral index and tensor-to-scalar ratio are consistent with Planck data.

Citations

• One-loop modified gravity in a de Sitter universe, quantum-corrected inflation, and its confrontation with the Planck result
• NINE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: COSMOLOGICAL PARAMETER RESULTS
• Detection ofB-Mode Polarization at Degree Angular Scales by BICEP2
• Renormalization of higher-derivative quantum gravity
• FIVE-YEARWILKINSON MICROWAVE ANISOTROPY PROBEOBSERVATIONS: COSMOLOGICAL INTERPRETATION
• Curvature Quintessence
• Agravity

Cited by

• Effect of R² on the stability of de Sitter solution of the generalized Einsteinian cubic gravity
• Reconstruction of inflation models
• Brane inflation and the robustness of the Starobinsky inflationary model
• Inflation from fermions with curvature-dependent mass
• General Slow-Roll Inflation in f(R) Gravity under the Palatini Approach
• Quadratic curvature theories formulated as covariant canonical gauge theories of gravity
• k-Essence Non-Minimally Coupled with Gauss–Bonnet Invariant for Inflation
• Enhancement of primordial curvature perturbations in R³-corrected Starobinsky-Higgs inflation