Friedmann Equation and Stability of Inflationary Higher Derivative Gravity

Abstract

Stability analysis on the De Sitter universe in pure gravity theory is known to be useful in many aspects. We first show how to complete the proof of an earlier argument based on a redundant field equation. It is shown further that the stability condition applies to $k\ne 0$ Friedmann-Robertson-Walker spaces based on the non-redundant Friedmann equation derived from a simple effective Lagrangian. We show how to derive this expression for the Friedmann equation of pure gravity theory. This expression is also generalized to include scalar field interactions.

Revtex, 6 pages, Add two more references, some typos corrected

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Cited by in corpus (7)

• Stability Analysis of Anisotropic Inflationary Cosmology
• Bianchi type I space and the stability of inflationary Friedmann-Robertson-Walker space
• Perturbative Instability of Cosmology from Quantum Potential
• Kaluza-Klein Higher Derivative Induced Gravity
• Anisotropic higher derivative gravity and inflationary universe
• Perturbative instability of inflationary cosmology from quantum potentials
• Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model