https://doi.org/10.1140/epjc/s10052-018-6198-x
Regular Article - Theoretical Physics
Tsallis holographic dark energy in the Brans–Dicke cosmology
1
Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P. O. Box 55134-441, Maragha, Iran
2
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, PB, CEP 58051-970, Brazil
* e-mail: sh.ghaffari@riaam.ac.ir
Received:
11
July
2018
Accepted:
27
August
2018
Published online:
3
September
2018
Using the Tsallis generalized entropy, holographic hypothesis and also considering the Hubble horizon as the IR cutoff, we build a holographic model for dark energy and study its cosmological consequences in the Brans–Dicke framework. At first, we focus on a non-interacting universe, and thereinafter, we study the results of considering a sign-changeable interaction between the dark sectors of the cosmos. Our investigations show that, compared with the flat case, the power and freedom of the model in describing the cosmic evolution is significantly increased in the presence of the curvature. The stability analysis also indicates that, independent of the universe curvature, both the interacting and non-interacting cases are classically unstable. In fact, both the classical stability criterion and an acceptable behavior for the cosmos quantities, including the deceleration and density parameters as well as the equation of state, are not simultaneously obtainable.
© The Author(s), 2018
