English

Interacting Chaplygin gas revisited

General Physics 2017-07-18 v3

Abstract

The implications of considering interaction between Chaplygin gas and a barotropic fluid with constant equation of state have been explored. The unique feature of this work is that assuming an interaction QHρdQ \propto H\rho_d, analytic expressions for the energy density and pressure have been derived in terms of the Hypergeometric 2F1_2\text{F}_1 function. It is worthwhile to mention that an interacting Chaplygin gas model was considered in 2006 by Zhang and Zhu, nevertheless, analytic solutions for the continuity equations could not be determined assuming an interaction proportional to HH times the sum of the energy densities of Chaplygin gas and dust. Our model can successfully explain the transition from the early decelerating phase to the present phase of cosmic acceleration. Arbitrary choice of the free parameters of our model through trial and error show at recent observational data strongly favors wm=0w_m=0 and wm=13w_m=-\frac{1}{3} over the wm=13w_m=\frac{1}{3} case. Interestingly, the present model also incorporates the transition of dark energy into the phantom domain, however, future deceleration is forbidden.

Keywords

Cite

@article{arxiv.1701.01021,
  title  = {Interacting Chaplygin gas revisited},
  author = {Subhajit Saha and Saumya Ghosh and Sunandan Gangopadhyay},
  journal= {arXiv preprint arXiv:1701.01021},
  year   = {2017}
}

Comments

8 pages, 6 figures; v2: Text expanded, Discussion improved, Conclusions modified, References updated; v3: Comments regarding model parameters and redshift of transition added following reviewer suggestions, Identical to published version

R2 v1 2026-06-22T17:40:57.879Z