Warm Inflationary Dynamics of Chaplygin Gas Models with Constant Sound Speed

Abstract

This study investigates the warm inflationary dynamics of Chaplygin gas models under the assumption of a constant sound speed. Warm inflation, characterized by the simultaneous production of radiation during the inflationary phase, provides an alternative to the standard cold inflation scenario by eliminating the need for a separate reheating period. In this work, the Chaplygin gas—known for its unified description of dark energy and dark matter—is incorporated into the inflationary framework to explore its viability in describing the early universe.

Assuming a constant sound speed simplifies the dynamical equations and allows for analytical treatment of the system. The evolution of key inflationary parameters, including the Hubble parameter, scalar field dynamics, and radiation energy density, is examined in detail. Slow-roll conditions are derived and analyzed within the context of dissipative effects inherent in warm inflation. Additionally, cosmological perturbations are studied to evaluate the scalar spectral index and tensor-to-scalar ratio, providing a means to compare theoretical predictions with observational data.

The results demonstrate that Chaplygin gas models with constant sound speed can successfully support a sustained period of warm inflation while remaining consistent with current cosmological observations. This framework offers a promising avenue for connecting early universe inflation with late-time cosmic acceleration, contributing to a more unified cosmological model.