Abstract

We derive modified classes of Chaplygin gas by using the formalism of Geometrothermodynamics. In particular, our strategy gives us extended versions of Chaplygin gas, providing a novel thermodynamic explanation. Thus, we show that our models correspond to systems with internal thermodynamic interaction. Bearing this in mind, we find new free parameters which are derived from thermodynamics and we give them an interpretation. To this end, we predict the range of values that every term can take in the context of homogeneous and isotropic universe. We also show that our new versions of modified Chaplygin gas can be interpreted as unified dark energy models, independently from the introduction of our new additional terms. Finally, we compare our theoretical scenarios through a fit on a grid based on the Union 2.1 compilation and we evaluate the growth factor of small perturbations. In this respect, we show that our model better adapts to the theoretical varLambda CDM value, namely gamma _{varLambda CDM}=frac{6}{11}, than previous versions of modified Cgaplygin gas. We show numerical constraints at late and early redshift domains, which turn out to be compatible with previous results on standard versions of Chaplygin gas models.

Highlights

  • A growing number of data surveys indicate that the observable universe is undergoing a phase of accelerated expansion [1,2,3,4,5,6,7,8,9,10]

  • We show that our new versions of modified Chaplygin gas can be interpreted as unified dark energy models, independently from the introduction of our new additional terms

  • We show that our model better adapts to the theoretical ΛCDM value, namely γΛC D M

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Summary

Introduction

A growing number of data surveys indicate that the observable universe is undergoing a phase of accelerated expansion [1,2,3,4,5,6,7,8,9,10]. Unified dark energy models and, in particular, the modified Chaplygin gas has the remarkable property of describing the dark sector of the universe through a single dark fluid, which passes from a matter-dominated era to a cosmological constant-dominated era [36–38]. Several papers discuss the behavior of the modified Chaplygin gas to reconcile the standard cosmological model with observations [39–42], a full explanation of the mechanism behind the origin of unified dark energy model is still lacking. We combine thermodynamic and geometric considerations in the GTD framework, and find out a new equation of state of the modified Chaplygin gas, which explains the recent cosmological observations.

From geometrothermodynamics to extended modified Chaplygin gas
A new derivation of modified Chaplygin gas from GTD
Extending the modified Chaplygin gas
Thermodynamics
Cosmological dynamics
Kinematics of our model
Bounds on the extra parameters
Numerical constraints
Perturbations and growth index
Final outlooks and perspectives

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