Eur. Phys. J. C (2015) 75: 215
https://doi.org/10.1140/epjc/s10052-015-3443-4

Regular Article - Theoretical Physics

Reconstruction of inflation models

¹ Department of General and Theoretical Physics and Eurasian Center for Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan
² Dipartimento di Fisica, Università di Trento, Trento, Italy
³ TIFPA, Istituto Nazionale di Fisica Nucleare, Trento, Italy

^* e-mail: l.sebastiani@science.unitn.it

Received: 11 March 2015
Accepted: 5 May 2015
Published online: 19 May 2015

Abstract

In this paper, we reconstruct viable inflationary models by starting from spectral index and tensor-to-scalar ratio from Planck observations. We analyze three different kinds of models: scalar field theories, fluid cosmology, and -modified gravity. We recover the well-known inflation in Jordan-frame and Einstein-frame representation, the massive scalar inflaton models and two models of inhomogeneous fluid. A model of correction to Einstein’s gravity plus a “cosmological constant” with an exact solution for early-time acceleration is reconstructed.