Observational constraints on interacting Tsallis holographic dark energy model

Abstract

In this paper, we investigate a recent proposed model -so called the Tsallis holographic dark energy (THDE) model with consideration of the Hubble and the event future horizon as IR cutoffs. In this case, we consider the non-gravitational and phenomenological interaction between dark sectors. We fit the free parameters of the model using Pantheon Supernovae Type Ia data, Baryon Acoustic Oscillations, Cosmic Microwave Background, Gamma-Ray burst and the the local value of the Hubble constant. We examine the THDE model to check its compatibility with observational data using objective Information Criterion (IC). We find that the THDE models cannot be supported by observational data once the CDM is considered as the referring model. Therefore we re-examine the analysis with the standard holographic dark energy model (HDE) as another reference. Changing the CDM to main standard dark energy model (HDE), we observe the compatibility of the THDE models. Using the Alcock-Paczynski (AP) test we check the deviation of the model compared to CDM and HDE. Surveying the evolution of squared of sound speed v 2 s as an another test we check the stability of the interacting and non-interacting THDE models and we find that while the THDE model with the Hubble horizon as IR cutoff is unstable against the background perturbation, the future event horizon as IR cutoff show stability at the late time. In addition, using the modified version of the CAMB package, we observe the suppressing the CMB spectrum at small K-modes and large scale.Eur. Phys. J. C

Observational constraints on Barrow holographic dark energy

“…Specifically, since the largest length of a quantum field theory is connected to its Ultraviolet cutoff [23], one can result to a vacuum energy which at cosmological scales forms a form of holographic dark energy [24,25]. Holographic dark energy is very efficient in quantitatively describe the late-time acceleration [24][25][26][27][28][29][30][31][32][33][34][35] and it is in agreement with observational data [36][37][38][39][40][41][42][43][44]. Hence, many extensions of the basic scenario have appeared in the literature, based mainly on the use of differ-ent horizons as the largest distance (i.e.…”

Alternate Land Use Options for Livelihood Security of the Farmers - A Case Study of Chhata tehsil, Mathura District, Uttar Pradesh, India

“…They applied various observational data of cosmology, BAO ( Baryon acoustic oscillation), data of the Gamma-Ray Burst, the Pantheon SN (type Ia supernovae), the confined value of H 0 (Hubble constant) and CMB (cosmic microwave background) for restraining independent parameter. B = 3 and δ = 1.871 +0.190 −0.441 are most commendable results in [72].…”

“…In [71], the researcher had practiced the data from the GRF (growth rate factor) matter fluctuations and combined it with the data from type SN (Ia Supernovae) and OHD (observational Hubble data) to restrain Tsallis In [72], they have examined briefly about the observational limitations of THDE model as IR cutoff with Hubble horizon. They applied various observational data of cosmology, BAO ( Baryon acoustic oscillation), data of the Gamma-Ray Burst, the Pantheon SN (type Ia supernovae), the confined value of H 0 (Hubble constant) and CMB (cosmic microwave background) for restraining independent parameter.…”

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“…In particular, a new HDE model has been proposed by using the holographic hypothesis and the Tsallis entropy [33], named Tsallis holographic dark energy (THDE) [34,35]. As a result, recently, several THDE models have been investigated and explored in different scenarios with an aim to search for the dynamics of the universe and one can look into [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51] for a comprehensive review.…”