Inhomogeneous scalar field solutions and inflation

TL;DR

This paper introduces new exact inhomogeneous solutions for scalar field cosmology, exploring their inflationary behaviors and potential nonsingularity, with implications for string theory and Weyl spacetime.

Contribution

It provides a general class of inhomogeneous solutions parameterized by bb, linking them to string theory and Weyl spacetime, and analyzes their inflationary and singularity properties.

Findings

Different inflationary behaviors are possible.

Some solutions may be nonsingular.

Solutions relate to string theory and Weyl spacetime.

Abstract

We present new exact cosmological inhomogeneous solutions for gravity coupled to a scalar field in a general framework specified by the parameter $\lambda$. The equations of motion (and consequently the solutions) in this framework correspond either to low-energy string theory or Weyl integrable spacetime according to the sign of $\lambda$. We show that different inflationary behaviours are possible, as suggested by the study of the violation of the strong energy condition. Finally, by the analysis of certain curvature scalars we found that some of the solutions may be nonsingular.