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An interacting scalar field with largish coupling to curvature can support a distinctive inflationary universe scenario.
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A. D. Linde, “A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems", Phys. Lett. B, 108, 389 (1982)
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2008
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S. Kachru, R. Kallosh, A. Linde, J. M. Maldacena, L. P. McAllister and S. P. Trivedi, “Towards inflation in string theory,” JCAP
2003
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N. Arkani-Hamed, P. Creminelli, S. Mukohyama and M. Zaldarriaga, “Ghost Inflation,” JCAP
2004
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C. Pahud, A. R. Liddle, P. Mukherjee and D. Parkinson, “When can the Planck satellite measure spectral index running?,” Mon. Not. Roy. Astron. Soc
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A. D. Linde, “Particle Physics and Inflationary Cosmology,” arXiv:hep-th/0503203
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J. W. Lee and I. G. Koh, “Running inflation,” arXiv:hep-ph/9702224
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P. Horava, “Quantum Gravity at a Lifshitz Point,” Phys. Rev. D
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