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

Abstract

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. We further extend our discussion of holographic correspondence to F(T) cosmological models.

EPL accepted

References in corpus (13)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Holographic dark energy models: A comparison from the latest observational data
• Holographic Ricci dark energy: Current observational constraints, quintom feature, and the reconstruction of scalar-field dark energy
• Testing the viability of the interacting holographic dark energy model by using combined observational constraints
• Restoring Holographic Dark Energy in Brane Cosmology
• Is exponential gravity a viable description for the whole cosmological history?
• The inflationary universe in F(R) gravity with antisymmetric tensor fields and their suppression during the universe evolution
• Logarithmic-corrected $R^2$ Gravity Inflation in the Presence of Kalb-Ramond Fields
• Reconstruction of Slow-roll $F(R)$ Gravity Inflation from the Observational Indices
• On Reconstruction of Extended Teleparallel Gravity from the Cosmological Jerk Parameter

Cited by in corpus (14)

• Early and late universe holographic cosmology from a new generalized entropy
• Barrow entropic dark energy: A member of generalized holographic dark energy family
• Unifying Holographic Inflation with Holographic Dark Energy: a Covariant Approach
• Barrow HDE model for Statefinder diagnostic in FLRW Universe
• Modified cosmology from the thermodynamics of apparent horizon
• Holographic realization from inflation to reheating in generalized entropic cosmology
• Statefinder hierarchy model for the Barrow holographic dark energy
• Inflation driven by a holographic energy density
• Holographic realization of constant roll inflation and dark energy: An unified scenario
• Thermodynamics of the most generalized form of Holographic Dark Energy and some particular cases with Corrected Entropies
• Implementation of cosmological bounce inflation with Nojiri-Odintsov generalized holographic dark fluid
• Evolution of perturbations in the model of Tsallis holographic dark energy
• Holographic description of $F(R)$ gravity coupled with Axion Dark Matter
• Gravitational waves driven by Holographic dark energy