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The stability of the de-Sitter universe in nonlocal gravity

Haiyuan Feng, Rong-Jia Yang

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.

The stability of the de-Sitter universe in nonlocal gravity

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.

Paper Structure

This paper contains 11 sections, 50 equations.

Table of Contents

  1. Introduction
  2. The string-inspired Nonlocal gravity
  3. Ghost-free condition in de-Sitter spacetime
  4. Equations of Motion and on-shell condition
  5. No-ghost excitations
  6. Stability analysis
  7. Recursion relation for equation of motion
  8. Equivalence with higher-order derivative model
  9. conclusion and discussion
  10. The calculation of variation
  11. Stability of de-Sitter Solution in $f(R,R_{\mu\nu}R^{\mu\nu})$ gravity