General constraints on Tsallis holographic dark energy from observational data

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Main Authors: Astashenok, Artyom V., Tepliakov, Alexander S.
Format: Preprint
Published: 2024
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author Astashenok, Artyom V.
Tepliakov, Alexander S.
author_facet Astashenok, Artyom V.
Tepliakov, Alexander S.
contents We investigated Tsallis holographic dark energy (THDE) model in light of modern observations of supernovae, Hubble parameter measurements, data for baryon acoustic oscillations and fluctuations of matter density. The dark energy density for THDE model is written as $ρ_d = 3C^2 / L^{4-2γ}$ where $C$ and $γ$ are some constants. Scale $L$ is infrared cut-off lenght for which we use the event horizon. For analysis of type Ia supernovae (SNeIa) data Pantheon+ samples are involved. Dark Energy Spectroscopic Instrument (DESI) 2024 measurements serves as source of data about ratios between sound horizon $r_d$ and Hubble ($d_H$) or volume averaged ($d_V$) distances. The updated dataset of Hubble parameter for various redshift is also used in our analysis. Finally we considered the dependence of matter density fluctuations in past from redshift. The standard stratefy of $χ^2$ minimizing allows to estimate the optimal values of parameters ($Ω_{de}$ and $H_0$) for some fixed values of $C$ and $γ$. One note that best-fit values for parameters $H_0$ from Hubble parameter and SNeIa data are more close than in standard $Λ$CDM model for some $C$ and $γ$ although problem of Hubble tension remains unsolved. The combined data analysis also gives slightly better results in comparison with standard cosmology. We included in our consideration the possible interaction between matter and holographic component and estimated the acceptable interval of model parameters in this case.
format Preprint
id arxiv_https___arxiv_org_abs_2410_00597
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle General constraints on Tsallis holographic dark energy from observational data
Astashenok, Artyom V.
Tepliakov, Alexander S.
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
We investigated Tsallis holographic dark energy (THDE) model in light of modern observations of supernovae, Hubble parameter measurements, data for baryon acoustic oscillations and fluctuations of matter density. The dark energy density for THDE model is written as $ρ_d = 3C^2 / L^{4-2γ}$ where $C$ and $γ$ are some constants. Scale $L$ is infrared cut-off lenght for which we use the event horizon. For analysis of type Ia supernovae (SNeIa) data Pantheon+ samples are involved. Dark Energy Spectroscopic Instrument (DESI) 2024 measurements serves as source of data about ratios between sound horizon $r_d$ and Hubble ($d_H$) or volume averaged ($d_V$) distances. The updated dataset of Hubble parameter for various redshift is also used in our analysis. Finally we considered the dependence of matter density fluctuations in past from redshift. The standard stratefy of $χ^2$ minimizing allows to estimate the optimal values of parameters ($Ω_{de}$ and $H_0$) for some fixed values of $C$ and $γ$. One note that best-fit values for parameters $H_0$ from Hubble parameter and SNeIa data are more close than in standard $Λ$CDM model for some $C$ and $γ$ although problem of Hubble tension remains unsolved. The combined data analysis also gives slightly better results in comparison with standard cosmology. We included in our consideration the possible interaction between matter and holographic component and estimated the acceptable interval of model parameters in this case.
title General constraints on Tsallis holographic dark energy from observational data
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2410.00597