Reconstruction of f(T) gravity according to holographic dark energy

Abstract

We develop the reconstruction of a model of $f(T)$ gravity according to the holographic dark energy. $T$ is the torsion scalar and its initial value from the Teleparallel gravity is imposed for fitting the initial value of the function $f(T)$. The result shows a polynomial function for $f(T)$, and we also observe that, when ${\Omega }_V\to 1$ at the future time, ${\omega }_V$ may cross -1 for some values of the input parameter $b$. Another interesting aspect of the obtained model is that it provides the unification of the dark matter with the dark energy.

11 pages, Accepted for publication in EPJC

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Cited by in corpus (21)

• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• f(T) teleparallel gravity and cosmology
• Teleparallel Gravity: From Theory to Cosmology
• Holographic Dark Energy
• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
• Thick Brane Split Caused by Spacetime Torsion
• Anisotropic fluid for a set of non-diagonal tetrads in f(T) gravity
• LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability
• Finite-time future singularities models in $f(T)$ gravity and the effects of viscosity
• Cosmological reconstruction of $f(T,\mathcal{T})$ Gravity
• Reconstruction of f(T) and f(R) gravity according to (m,n)-type holographic dark energy
• Charged Black Holes in Generalized Teleparallel Gravity
• Can $f(T)$ gravity theories mimic $\Lambda$CDM cosmic history
• Power-law and intermediate inflationary models in f(T)-gravity
• Cosmological viability conditions for $f(T)$ dark energy models
• Geodesic Deviation Equation in $\Lambda$CDM $f(T,\mathcal{T})$ gravity
• Evaporation phenomena in f(T) gravity
• Particle creation in flat FRW Universe in the framework of $f(T)$ gravity
• Realistic f(T) model describing the de Sitter epoch of the dark energy dominated universe
• $f(T)$ gravity from holographic Ricci dark energy model with new boundary conditions