Tsallis holographic dark energy model with event horizon cutoff in modified gravity

Abstract

We considered the Tsallis holographic dark energy model in frames of Nojiri-Odintsov gravity with $f(R)=R+\lambda R^2-\sigma \mu /R$. For IR cutoff event horizon is taken. The cosmological evolution of such universe is investigated for various initial conditions and values of parameters. The dependence of the Hubble parameter $H$ from time in the future has an oscillations. It is shown that for $\mu \ne 0$ appearance of singularities are typical and the time up to these singularities can be relatively small from cosmological viewpoint. The singularity is associated with the zero of second deribative of $f(R)$ on $R$. It is interesting to note that these models can describe observational data from Ia supernovae astrophysics and dependence of the Hubble parameter from redshift $z$ at least not worse than canonical $\Lambda$CDM model.

20 pp., 7 figures; to appear in Int. J. Geom. Meth. Mod. Phys

References in corpus (11)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark Energy and the Accelerating Universe
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Approaches to Understanding Cosmic Acceleration
• Dark Matter and Collider Phenomenology of Universal Extra Dimensions
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Modified cosmology from extended entropy with varying exponent

Cited by in corpus (2)

• Holographic and Gravity-Thermodynamic Approaches in Entropic Cosmology: Bayesian Assessment using late-time Data
• Gravitational wave probes of Barrow cosmology with LISA standard sirens