https://doi.org/10.1140/epjc/s10052-017-5009-0
Regular Article - Theoretical Physics
Analytic solution of the Starobinsky model for inflation
1
Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile
2
Institute of Systems Science, Durban University of Technology, PO Box 1334, Durban, 4000, Republic of South Africa
* e-mail: anpaliat@phys.uoa.gr
Received:
21
April
2017
Accepted:
20
June
2017
Published online:
1
July
2017
We prove that the field equations of the Starobinsky model for inflation in a Friedmann–Lemaître–Robertson–Walker metric constitute an integrable system. 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.
© The Author(s), 2017
