A generalized interacting Tsallis holographic dark energy model and its thermodynamic implications
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Regular Article - Theoretical Physics
A generalized interacting Tsallis holographic dark energy model and its thermodynamic implications Abdulla Al Mamon1,a , Amir Hadi Ziaie2,b , Kazuharu Bamba3,c 1
Department of Physics, Vivekananda Satavarshiki Mahavidyalaya (Affiliated to the Vidyasagar University), Manikpara, West Bengal 721513, India 2 Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of Maragheh, P.O. Box 55136-553, Maragheh, Iran 3 Division of Human Support System, Faculty of Symbiotic Systems Science, Fukushima University, Fukushima 960-1296, Japan
Received: 8 July 2020 / Accepted: 12 October 2020 © The Author(s) 2020
Abstract The present paper deals with a theoretical model for interacting Tsallis holographic dark energy (THDE) whose infrared cut-off scale is set by the Hubble length. The interaction Q between the dark sectors (dark energy and pressureless dark matter) of the universe has been assumed to be non-gravitational in nature. The functional form of Q is chosen in such a way that it reproduces well known and most used interactions as special cases. We then study the nature of the THDE density parameter, the equation of state parameter, the deceleration parameter and the jerk parameter for this interacting THDE model. Our study shows that the universe exhibits the usual thermal history, namely the successive sequence of radiation, dark matter and dark energy epochs, before resulting in a complete dark energy domination in the far future. It is shown the evolution of the Hubble parameter for our model and compared that with the latest Hubble parameter data. Finally, we also investigate both the stability and thermodynamic nature of this model in the present context.
1 Introduction Many cosmological observations indicate that our Universe is now experiencing an accelerated expansion phase [1–5]. A possible candidate to explain this cosmic acceleration is to consider some exotic matter, dubbed as dark energy (DE) which consists of approximately 68% of the total energy budget of our universe. However, the origin and nature of this DE are absolutely unknown. On the other hand, the second largest component of our universe is the dark matter (DM) a e-mail:
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which takes around 28% of the total energy density of the universe. Like the DE sector, DM sector is also not very well understood. Till now, a large number of theoretical models are taken into account to accommodate the present phase of acceleration and some excellent reviews on this topic can be found in [6–8]. However, the problem of the onset and nature of cosmic acceleration remains an open challenge of modern cosmology at present. In this context, holographic dark energy (HDE) is an interesting attempt to solve this problem (for details, see [9–11]) and some of its various scenarios can be found in [12–32]. In particular, a new HDE model has been proposed by using
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