4.3 Article

Exact inflationary solutions in exponential gravity

Journal

GENERAL RELATIVITY AND GRAVITATION
Volume 51, Issue 3, Pages -

Publisher

SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-019-2531-4

Keywords

Inflation; f (R; f) gravity; Exponential gravity; Power spectrum

Funding

  1. CSIR Junior Research Fellowship, India
  2. UGC Senior Research Fellowship, India
  3. DST-Max Planck Partner Group on Gravity and Cosmology

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We consider a modified gravity model of the form f(R,phi)=Reh(phi)R, where the strong gravity corrections are taken to all orders and phi is a self-interacting massless scalar field. We show that the conformal transformation of this model to Einstein frame leads to non-canonical kinetic term and negates the advantage of the Einstein frame. We obtain exact solutions for the background in the Jordan frame without performing conformal transformations and show that the model leads to inflation with exit. We obtain scalar and tensor power-spectrum in Jordan frame and show that the model leads to red-tilt. We discuss the implications of the same in the light of cosmological observations.

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