# Hamilton-Jacobi formalism for Generalized Chaplygin Gas models

@inproceedings{Ignatov2021HamiltonJacobiFF, title={Hamilton-Jacobi formalism for Generalized Chaplygin Gas models}, author={Yordan Ignatov and Mauro Pieroni}, year={2021} }

In this work we discuss the application of the Hamilton-Jacobi formalism on the scalar field implementation of Generalized Chaplygin Gas models. This corresponds to a Generalised Born-Infeld action for the scalar field, which in an initial fast-rolling phase mimics a matter-like behavior and in the final slow-rolling phase mimics a cosmological constant. In order to enrich the phenomenology of the model, we add an extra functional freedom, specified through a scalar potential for the field…

## References

SHOWING 1-10 OF 80 REFERENCES

From k-essence to generalised Galileons

- Physics
- 2011

We determine the most general scalar field theories which have an action that depends on derivatives of order two or less, and have equations of motion that stay second order and lower on flat…

Gauge-invariant analysis of perturbations in Chaplygin gas unified models of dark matter and dark energy

- Physics
- 2008

We exploit the gauge-invariant formalism to analyse the perturbative behaviour of two cosmological models based on the generalized Chaplygin gas describing both dark matter and dark energy in the…

Scalar speed limits and cosmology: Acceleration from D-cceleration

- Physics
- 2004

Causality on the gravity side of the AdS/CFT correspondence restricts motion on the moduli space of the N = 4 super Yang Mills theory by imposing a speed limit on how fast the scalar field may roll.…

Does Chaplygin gas have salvation?

- Physics
- 2013

We investigate the unification scenario provided by the generalized Chaplygin gas model (a perfect fluid characterized by an equation of state p=−A/ρα). Our concerns lie with a possible tension…

Cosmological consequences of a rolling homogeneous scalar field.

- Physics, MedicinePhysical review. D, Particles and fields
- 1988

It is argued that a number of models in which the energy density of the scalar field red-shifts in a specific manner are studied could reconcile the low dynamical estimates of the mean mass density with the negligibly small spatial curvature preferred by inflation.

Scalar-tensor gravity in an accelerating universe

- Physics
- 2001

We consider scalar-tensor theories of gravity in an accelerating universe. The equations for the background evolution and the perturbations are given in full generality for any parametrization of the…

Does a generalized Chaplygin gas correctly describe the cosmological dark sector

- Physics
- 2017

Abstract Yes, but only for a parameter value that makes it almost coincide with the standard model. We reconsider the cosmological dynamics of a generalized Chaplygin gas (gCg) which is split into a…

Kinetically driven quintessence

- Physics
- 2000

Abstract Recently, a novel class of models for inﬂation has been found in which theinﬂationary dynamics is driven solely by (non-canonical) kinetic terms ratherthan by potential terms. As an obvious…

Curvature Quintessence

- Physics
- 2002

The issues of quintessence and cosmic acceleration can be discussed in the framework of higher order theories of gravity. We can define effective pressure and energy density directly connected to the…

Generalized G-Inflation —Inflation with the Most General Second-Order Field Equations—

- Physics
- 2011

We study generalized Galileons as a framework to develop the most general single-field inflation models ever, Generalized G-inflation, containing yet further generalization of Ginf lation, as well as…