Cosmological implications of non-canonical scalar field model in fractal universe

Abstract

Abstract The cosmological parameters as well as generalized second law of thermodynamics are investigated in the framework of fractal universe taking flat FRW universe filled with scalar field dark energy possessing a non-canonical kinetic term. The non-canonical scalar field model is allowed to interact with dark matter by assuming a specified form of coupling term. With the assumption that the universe is enveloped by apparent horizon, we investigate the validity of generalized second law of thermodynamics by using first law of thermodynamics as well as Bekenstein, logarithmic and power-law horizon entropies. For the illustration of results in more clear way, we set the equation of state parameter as constant as well as variable (Chevallier–Polarski–Linder parametrization). In the above mentioned scenario, the results of cosmological quantities such as squared speed of sound, weak energy condition and deceleration parameter are interpreted for both cases of equation of state parameter and found their compatibility with recent observations. It is also found that the generalized second law of thermodynamics holds for all cases of horizon entropies as well as equation of state parameters under specific constant parameters. The thermodynamic equilibrium is also observed for all cases of entropies.