Dynamics of an interacting Barrow holographic dark energy model and its thermodynamic implications
Department of Physics, Vivekananda Satavarshiki Mahavidyalaya (Affiliated to the Vidyasagar University), 721513, Manikpara, West Bengal, India
2 Institute of Systems Science, Durban University of Technology, PO Box 1334, 4000, Durban, South Africa
3 Department of Mathematics, Panihati Mahavidyalaya, 700110, Kolkata, West Bengal, India
Accepted: 15 January 2021
Published online: 25 January 2021
In this paper, using Barrow entropy, we propose an interacting model of Barrow holographic dark energy (BHDE). In particular, we study the evolution of a spatially flat FLRW universe composed of pressureless dark matter and BHDE that interact with each other through a well-motivated interaction term. Considering the Hubble horizon as the IR cutoff, we then study the evolutionary history of important cosmological parameters, particularly, the density parameter, the equation of state parameter and the deceleration parameter in the BHDE model and find satisfactory behaviors in the model. We perform a detailed study on the dynamics of the field equations by studying the asymptotic behavior of the field equations, while we write the analytic expression for the scale factor with the use of Laurent series. Finally, we study the implications of gravitational thermodynamics in the interacting BHDE model with the dynamical apparent horizon as the cosmological boundary. In particular, we study the viability of the generalized second law by assuming that the apparent horizon is endowed with Hawking temperature and Barrow entropy.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021