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Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests

We review different dark energy cosmologies. In particular, we present the ΛCDM cosmology, Little Rip and Pseudo-Rip universes, the phantom and quintessence cosmologies with Type I, II, III and IV…
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Equation of state for dark energy in $f(T)$ gravity

We study the cosmological evolutions of the equation of state for dark energy wDE in the exponential and logarithmic as well as their combination f(T) theories. We show that the crossing of the…
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Tsallis holographic dark energy

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Equivalence of the modified gravity equation to the Clausius relation

We explicitly show that the equations of motion for modified gravity theories of F(R)-gravity, the scalar Gauss-Bonnet gravity, F()-gravity and the non-local gravity are equivalent to the Clausius…
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THERMODYNAMICS OF COSMOLOGICAL HORIZONS IN F (T) GRAVITY

We explore thermodynamics of the apparent horizon in f(T) gravity with both equilibrium and non-equilibrium descriptions. We find the same dual equilibrium/non-equilibrium formulation for f(T) as for…
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Bouncing cosmology in modified Gauss–Bonnet gravity

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Reconstruction of f(T) gravity: Rip cosmology, finite-time future singularities, and thermodynamics

We demonstrate that there appear finite-time future singularities in $f(T)$ gravity with $T$ being the torsion scalar. We reconstruct a model of $f(T)$ gravity with realizing the finite-time future…
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Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data

We investigate the descriptions for the observables of inflationary models, in particular, the spectral index of curvature perturbations, the tensor-to-scalar ratio, and the running of the spectral…
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Role of Tilted Congruence and $f(R)$ Gravity on Regular Compact Objects

The purpose of this paper is to check the impact of observer and Palatini $f(R)$ terms in the formulations of inhomogeneity factors of spherical relativistic systems. We consider…
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Conformal symmetry and accelerating cosmology in teleparallel gravity

We discuss conformal issues of pure and extended teleparallel gravity. In particular, we present formulations of conformal transformation in teleparallel gravity. Furthermore, we propose conformal…
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