Statefinder Diagnostic for Dilaton Dark Energy.pdfVIP

Statefinder Diagnostic for Dilaton Dark Energy † Z. G. Huang , X. M. Song Department of Mathematics and Physics, Huaihai Institute of Technology, 222005, Lianyungang, China † zghuang@hhit.edu.cn H. Q. Lu‡ and W. Fang Department of Physics, Shanghai University, Shanghai, China ‡ alberthq lu@staff.shu.edu.cn 8 0 0 Statefinder diagnostic is a useful method which can differ one dark energy model 2 from the others. The Statefinder pair {r, s} is algebraically related to the equation y of state of dark energy and its first time derivative. We apply in this paper a this method to the dilaton dark energy model based on Weyl-Scaled induced M gravitational theory. We investigate the effect of the coupling between matter and dilaton when the potential of dilaton field is taken as the Mexican hat form. 7 We find that the evolving trajectory of our model in the r − s diagram is quite different from those of other dark energy models. ] h t - Keywords: Dark energy; Statefinder; Dilaton; Mexican hat potential; Attractor. p e PACS numbers: 98.80.Cq, 98.80.Jk h [ 2 Since the first observational data from SNe