Mutated hybrid inflation in $f(R,\square R)$-gravity

Abstract

A new hybrid inflationary scenario in the context of $f(R,\square R)$-gravity is proposed. Demanding the waterfall field to 'support the potential from below' [unlike the original proposal by Stewart in Phys. Lett. B345, 414 (1995)], we demonstrate that the scalar potential is similar to that of the large-field chaotic inflation model proposed by Linde in Phys. Lett. B129, 177 (1983). Inflationary observables are used to constrain the parameter space of our model; in the process, an interesting limit on the number of e-folds N is found.

arXiv comment9 pages, 2 figures, LaTeX2e, v2: Sec.3 expanded and improved, 1 Fig. added, a new result included, some Eqs. corrected, 2 References added

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Cited by in corpus (10)

• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Higher-order modified Starobinsky inflation
• Higher-order extension of Starobinsky inflation: initial conditions, slow-roll regime, and reheating phase
• $f\left(R,{\nabla }_{{\mu }_1}R,\dots ,{\nabla }_{{\mu }_1}\dots {\nabla }_{{\mu }_n}R\right)$ theories of gravity in Einstein frame: A higher order modified Starobinsky inflation model in the Palatini approach
• Bounds on Higher Derivative $f(R,\square R,T)$ Models from Energy Conditions
• Gravitational waves in higher-order $R^2$ gravity
• Second-order corrections to Starobinsky inflation
• Renormalization-Group Running Induced Cosmic Inflation
• Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model
• Higher-order gravity models: corrections up to cubic curvature invariants and inflation