Holographic reconstruction of the k-essence and dilaton models

Abstract

We propose an holographic $k$-essence and dilaton models of dark energy. The correspondence between the $k$-essence and dilaton energy densities with the holographic density, allows the reconstruction of the potential and the fields for the $k$-essence and dilaton models in flat FRW background. For the proposed infrared cut-off the reconstruction was made for the two cases of the constant $\alpha$: for $\alpha <1$ the model presents phantom crossing and the reconstruction was made in the region before the $\omega =-1$ crossing for the EoS parameter. The cosmological dynamics for $\alpha >1$ was also reconstructed. The reconstruction is consistent with the observational data.

17 pages, 4 figures, references added, changes at the end of sections 3 and 4

References in corpus (10)

• Dynamics of dark energy
• Dark Energy and the Accelerating Universe
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• Statefinder Diagnosis for Ricci Dark Energy
• Holographic tachyon model of dark energy
• Holographic tachyon model
• Holography, UV/IR Relation, Causal Entropy Bound and Dark Energy
• Attractor scenarios and superluminal signals in k-essence cosmology
• Holographic kinetic k-essence model
• Dilaton cosmology and phenomenology

Cited by in corpus (7)

• Pure kinetic k-essence as the cosmic speed-up
• Reconstruction of quintessence field for the THDE with swampland correspondence in $f(R,T)$ gravity
• Compatibility between the scalar field models of tachyon, $k$-essence and quintessence in $f(R,T)$ gravity
• Crossing the phantom divide line in the Holographic dark energy model in a closed universe
• Algorithms for Bernstein-Sato polynomials and multiplier ideals
• Current observational constraints on holographic dark energy model
• The holographic principle and the cosmological constant