https://doi.org/10.1140/epjp/s13360-021-01522-9
Regular Article
Cosmological perturbations in the Tsallis holographic dark energy scenarios
1
Departamento de Física, Universidade Federal do Rio Grande do Norte, 59072-970, Natal, Rio Grande do Norte, Brazil
2
Departamento de Física, Universidade do Estado do Rio Grande do Norte, 59610-210, Mossoró, Rio Grande do Norte, Brazil
Received:
21
December
2020
Accepted:
4
May
2021
Published online:
17
May
2021
We investigate the Tsallis holographic dark energy (THDE) models in the context of perturbations’ growth. We assume the description of dark energy by considering the holographic principle and the nonadditive entropy to carry out this. We implement the perturbed relativistic equations to achieve the growth of matter fluctuations, being the growth rate of the cosmic structures is non-negligible at low redshifts. To constrain and compare the models, we carry out the Bayesian analysis using the recent geometrical and growth rate observational data. The main results are: (i) the models are compatible with cosmological observations, (ii) the cosmological constant recovered with a 
confidence level, furthermore (iii) they could cross the phantom barrier. Finally, the models can relieve 
the 
tension in the non-clustered case and can alleviate in 
the 
tension. From the model selection viewpoint, the data discarded the THDE models.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
