Holographic correspondence of F(R) gravity with/without matter fields

School of Physical Sciences, Indian Association for the Cultivation of Science - 2A & 2B Raja S.C. Mullick Road, Kolkata - 700 032, India

^(a) pul.tnmy9@gmail.com

Received: 20 May 2019
Accepted: 4 July 2019

Abstract

In this paper, we apply the holographic principle to the early universe, obtaining an inflation realization of holographic origin. First we show that under the consideration of extended infrared cutoffs, there exists a holographic correspondence of various F(R) (such as quadratic, cubic, exponential F(R) models) cosmological models in the absence of matter fields. Then we establish that such holographic correspondence is not only confined to the vacuum F(R) gravity but also can be extended to the higher curvature models along with matter fields. In the presence of matter field, in particular the second-rank antisymmetric Kalb-Ramond field, all the considered F(R) models lead to a viable inflationary phenomenology consistent with Planck 2018 constraints. We further extend our discussion of holographic correspondence to F(T) cosmological models.