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arXiv · 1706.06400

Analytic Solution of the Starobinsky Model for Inflation

Andronikos Paliathanasis
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Abstract

We prove that the field equations of the Starobinsky model for inflation in a Friedmann-Lema\^ıtre-Robertson-Walker constitute an integrable system as the field equations pass the singularity test. The analytical solution in terms of a Painlevé Series for the Starobinsky model is presented for the case of zero and nonzero spatial curvature. In both cases the leading-order term describes the radiation era provided by the corresponding higher-order theory.

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Andronikos Paliathanasis. 2017-06-26. Analytic Solution of the Starobinsky Model for Inflation. https://doi.org/10.1140/epjc%2Fs10052-017-5009-0

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