The stability of the de-Sitter universe in nonlocal gravity
arXiv:2509.03444 · doi:10.1007/JHEP01(2026)072
Abstract
We constructed the ghost-free condition for nonlocal gravity using de-Sitter background field expansion and identified the structure of the nontrivial form factors. Our analysis shows that the particle spectrum of this model is nearly equivalent to general relativity(GR), with the potential addition of a scalar particle with positive mass m. Additionally, by employing recursion relations, we established the equivalence between nonlocal gravity and higher-derivative gravity. Moreover, we provided a comprehensive proof of the stability of de-Sitter solution within the nonlocal framework.
arXiv comment30pages
References in corpus (61)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
- Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- Extended Theories of Gravity
- Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
- Palatini Approach to Modified Gravity: f(R) Theories and Beyond
- Towards singularity and ghost free theories of gravity
- BICEP2 / Keck Array VI: Improved Constraints On Cosmology and Foregrounds When Adding 95 GHz Data From Keck Array
- Super-renormalizable Quantum Gravity
- Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
- Cross-correlation Tomography: Measuring Dark Energy Evolution with Weak Lensing
- Bouncing Universes in String-inspired Gravity
- One-loop f(R) gravity in de Sitter universe
- Nonlocal Cosmology
- Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
- De Sitter Space and Eternity
- Modified non-local-F(R) gravity as the key for the inflation and dark energy
- Ultraviolet properties of f(R)-Gravity
- On the renormalization group flow of f(R)-gravity
- Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
- Aspects of Quadratic Gravity
- Stable bounce and inflation in non-local higher derivative cosmology
- Occurrence of exact inflation in non-local UV-complete gravity
- Nonlocal gravity. Conceptual aspects and cosmological predictions
- Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models
- Infrared Sensitivity of Unstable Vacua
- Generalized Gravity and a Ghost
- Phantom and non-phantom dark energy: The cosmological relevance of non-locally corrected gravity
- Localization of nonlocal theories
- Graviton and gauge boson propagators in AdS(d+1)
- Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
- Consistent Higher Derivative Gravitational theories with stable de Sitter and Anti-de Sitter Backgrounds
- The Cosmological Constant Problem and Running Vacuum in the Expanding Universe
- Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity
- Ghost Constraints on Modified Gravity
- Screening of cosmological constant in non-local gravity
- Stable analytic bounce in non-local Einstein-Gauss-Bonnet cosmology
- Screening of cosmological constant in non-local cosmology
- De Sitter Universe in Nonlocal Gravity
- inflation to probe non-perturbative quantum gravity
- Scattering amplitudes in super-renormalizable gravity
- Inflationary Cosmology: From Theory to Observations
- Warm Decaying Dark Matter and the Hubble Tension
- Nonlinear stability in nonlocal gravity
- Cosmic no-hair: non-linear asymptotic stability of de Sitter universe
- Stability of de Sitter spacetime against infrared quantum scalar field fluctuations
- Screening of cosmological constant for De Sitter Universe in non-local gravity, phantom-divide crossing and finite-time future singularities
- Finite quantum gravity in dS and AdS spacetimes
- Stability of Schwarzschild singularity in non-local gravity
- Cosmological perturbations in non-local higher-derivative gravity
- One-loop divergences for gravity
- Acausality in Nonlocal Gravity Theory
- Jeans Instability in Classical and Modified Gravity
- Black-hole stability in non-local gravity
- Nonlinear stability of Minkowski spacetime in Nonlocal Gravity
- Quantum Spacetime Instability and Breakdown of Semiclassical Gravity
- Inflation and late-time accelerated expansion driven by -essence degenerate dynamics
- Stability of the de-Sitter universe: One-loop nonlocal gravity