Theoretical Study Of The Dark Energy Model And Its Related Problems In The Fractal Universe

Various observational data in recent years indicate that the universe is currently in a period of accelerated expansion.Physicists introduced two theories to explain the accelerated expan-sion of the universe.The first is the dark energy with negative pressure.Although the source and existence of dark energy are still unknown,its power is enough to promote the accelerated expansion of the universe.The second is the modified gravity,that is,to modify the space-time geometry of the universe to produce a new theory of gravity,which can explain the accelerated expansion of the current universe without introducing dark energy.Fractal cosmology,as a modified gravitational theory,adds a time-related term to the ac-tion,and uses an isotropic space-time scale.Related research shows that this kind of fractal self-similar structure of the universe can also explain the accelerated expansion of the universe.In this paper,we first briefly describe the two current explanations for the accelerated expansion of the universe,and introduces several common models of dark energy.Then,we analyze the Tsallis holographic dark energy model and the New agegraphic dark energy model with the interaction between dark energy and dark matter in fractal FRW universe.We find that the two kinds of dark energy models in the fractal framework can explain the accel-erated expansion of the universe.Secondly,we employ the cosmological geometric diagnosis to distinguish from the interacting dark energy models with different energy exchange forms.Based on the analysis of State finder and Om geometric diagnostics,we find that for two kinds of dark energy models,the S3(1)?S3(2)?r-s and Om diagnosis results are ideal,and the r-s compound diagnostic effect is better.Finally,we have done the stability analysis of the dynamic system to explore the stability of the interacting Tsallis holographic dark energy model and New agegraphic dark energy model,it is found that the dynamic system about two kind of interacting models own the attractor solutions,which can explain that the universe is in an accelerated expansion period.