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On the superstring-inspired quantum correction to the Starobinsky model of inflation
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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.
Forward citations
Cited by 2 Pith papers
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Unstable de Sitter inflationary solution in sixth-order gravity
For the sixth-order gravity action (2.1), the exact FLRW de Sitter solution is unstable whenever 3γ1+γ2<0, while the second-order limit admits a stable de Sitter attractor.
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On the stability of de Sitter inflationary solution in the Starobinsky-Bel-Robinson gravity
The exact de Sitter solution of Starobinsky-Bel-Robinson gravity is fixed by the quartic Bel-Robinson coupling alone and is an unstable saddle point for the physically allowed positive sign of the R^2 coefficient.
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