Cosmological implications and thermodynamics of some reconstructed modified gravity models

Abstract

Abstract In the context of extended teleparallel gravity theory with Gauss–Bonnet term, we reconstruct some gravitational Lagrangian functions f ( T , T G ) = T G g ( T ) and f ( T , T G ) = − T + T G g ( T ) , using some holographic dark energy models. These models include Tsallis, Renyi and Sharma–Mittal holographic dark energy models. We consider the flat FRW universe model with perfect fluid. We check the behavior of these reconstructed models through equation of state parameter for dark energy dominated era along with its plane of evolutionary parameter to check the thawing and freezing regions. In order to check the stability of the models, we explore the squared speed of sound for these models. Also, we discuss the thermodynamical analysis by checking the validity of generalized second law of thermodynamics of these reconstructed models.