On the superstring-inspired quantum correction to the Starobinsky model of inflation

Abstract

Superstring/M-theory is the theory of quantum gravity that can provide the UV-completion to viable inflation models. We modify the Starobinsky inflation model by adding the Bel-Robinson tensor $T^{\mu \nu \lambda \rho }$ squared term proposed as the leading quantum correction inspired by superstring theory. The $(R+\frac{1}{6m^2}{R}^2-\frac{\beta }{8m^6}{T}^2)$ model under consideration has two parameters: the inflaton mass $m$ and the string-inspired positive parameter $\beta$. We derive the equations of motion in the Friedmann-Lemaitre-Robertson-Walker universe and investigate its solutions. We find the physical bounds on the value of the parameter $\beta$ by demanding the absence of ghosts and consistency of the derived inflationary observables with the measurements of the cosmic microwave background radiation.

24 pages, 5 figures, LaTeX; the version to appear in JCAP

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Cited by in corpus (15)

• Black holes in Starobinsky-Bel-Robinson Gravity and the breakdown of quasinormal modes/null geodesics correspondence
• Improved model of primordial black hole formation after Starobinsky inflation
• Primordial black holes from Volkov-Akulov-Starobinsky supergravity
• Stability investigations of isotropic and anisotropic exponential inflation in the Starobinsky-Bel-Robinson gravity
• Starobinsky inflation beyond the leading order
• New one-parametric extension of the Starobinsky inflationary model
• Black hole solutions to Einstein-Bel-Robinson gravity
• More accurate slow-roll approximations for inflation in scalar-tensor theories
• Anisotropic solutions for $R^2$ gravity model with a scalar field
• Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model
• Starobinsky inflation and Swampland conjectures
• Effect of $R^2$ on the stability of de Sitter solution of the generalized Einsteinian cubic gravity
• Generalized Chern-Pontryagin models
• $f(R,\mathcal{G})$-cosmological dynamics in the FLRW background
• On the stability of de Sitter inflationary solution in the Starobinsky-Bel-Robinson gravity