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.

arXiv comment20 pp., 7 figures; to appear in Int. J. Geom. Meth. Mod. Phys

References in corpus (40)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Cosmological Constant - the Weight of the Vacuum
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Dark Energy and the Accelerating Universe
• A Model of Holographic Dark Energy
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Constraints on the redshift dependence of the dark energy potential
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Black hole thermodynamical entropy
• Age-dating Luminous Red Galaxies observed with the Southern African Large Telescope
• Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations
• The Physics of Cosmic Acceleration
• Holographic Dark Energy
• The Holographic Dark Energy in a Non-flat Universe
• Approaches to Understanding Cosmic Acceleration
• Tsallis Holographic Dark Energy
• Dark Matter and Collider Phenomenology of Universal Extra Dimensions
• Generalized entropy formalism and a new holographic dark energy model
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Supernova Constraints on a holographic dark energy model
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Covariant Generalized Holographic Dark Energy and Accelerating Universe
• Modified cosmology from extended entropy with varying exponent
• Tsallis holographic dark energy in the Brans-Dicke cosmology
• A Note on Tsallis Holographic Dark Energy
• $f(R)$ gravity and Tsallis holographic dark energy
• Some models of holographic dark energy on the Randall-Sundrum brane and observational data

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