Note on Tsallis holographic dark energy in Brans-Dicke cosmology

Abstract

In this comment, we have investigated that the power law variation of Brans-Dicke scalar field $(\phi)$ with scale factor $(a)$ is not validated by field equations in general for the Universe filled with dark matter and Tsallis type holographic dark energy. However, for specific choice of free parameters $(\omega = -\frac{3}{2}\;\; \&\;\; n = -1)$ which are differ from its values fixed in Ghaffari et al \textcolor{blue}{[Ghaffari et al. Euro. Phys. J. C \textbf{78}, 706 (2018)]} to describe various physical properties of the Universe in derived model, the power law variation of $\phi$ with $a$ leads to consistent results. Further, we notice that the energy conservation law for Tsallis holographic dark energy in Brans-Dicke gravity does not hold.