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

Understand

In this paper, we apply the holographic principle at the early universe, obtaining an inflation realization of holographic origin.

• First we show that under the consideration of extended infrared cut-offs, there exist a holographic correspondence of various F(R) (such as quadratic, cubic, exponential F(R) models) cosmological models in 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 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.