Reconstruction of f(T) and f(R) gravity according to (m,n)-type holographic dark energy

Abstract

Motivated by earlier works on reconstruction of modified gravity models with dark energy components, we extend them by considering a newly proposed model of (m, n)- type of holographic dark energy for two models of modified gravity, f(R) and f(T) theories, where R and T represent Ricci scalar and torsion scalar respectively. Specifically we reconstruct the two later gravity models and discuss their viability and cosmography. The obtained gravity models are ghost free, compatible with local solar system tests and describe effective positive gravitational constant.

Published in: Canadian Journal of Physics, 10.1139/cjp-2012-0431

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Cited by in corpus (16)

• f(T) teleparallel gravity and cosmology
• Teleparallel Gravity: From Theory to Cosmology
• Pilgrim Dark Energy in $f(T,T_G)$ cosmology
• Cosmological reconstruction of $f(T,\mathcal{T})$ Gravity
• Cyclic and heteroclinic flows near general static spherically symmetric black holes
• Dynamics and center of mass energy of colliding particles around black hole in f(R) gravity
• QCD ghost reconstruction of f(T) gravity in flat FRW universe
• Gravitational Dust Collapse in $f(R)$ Gravity
• Modelling of a compact anisotropic star as an anisotropic fluid sphere in $f(T)$ gravity
• Cosmic evolution in f(T) gravity theory
• Reconstructions of $f(T)$ Gravity from Entropy Corrected Holographic and New Agegraphic Dark Energy Models in Power-law and Logarithmic Versions
• Thermodynamics of Black holes With Higher Order Corrected Entropy
• Reconstructions of $f(\mathcal{P})$ and $f(\mathcal{Q})$ gravity models from $(m,n)$-type Barrow Holographic Dark Energy: Analysis and Observational Constraints
• Phenomenological models of Universe with varying $G$ and $\Lambda$
• Analytical Stellar Models of Neutron Stars in Teleparallel Gravity
• Noether symmetry in $F(T)$ gravity with $f$-essence