String cosmology coupled to Weyl-integrable geometry

TL;DR

This paper explores string cosmology with non-minimal dilaton coupling within Weyl-integrable geometry, addressing the cosmological singularity problem and discussing implications for Mach's principle.

Contribution

It introduces a novel approach combining string cosmology, Weyl-integrable geometry, and non-minimal dilaton coupling to address singularities and foundational principles in gravity.

Findings

Effective theories with non-minimal dilaton coupling are viable low-energy gravity models.

Weyl-integrable geometry provides a consistent framework for these theories.

Results offer new insights into the cosmological singularity problem and Mach's principle.

Abstract

The requirement that the laws of physics must be invariant under point-dependent transformations of the units of length, time, and mass is used as a selection principle while studying different generic effective theories of gravity. Thereof theories with non-minimal coupling of the dilaton both to the curvature and to the Lagrangian of the matter fields seem to represent the most viable low-energy [and low-curvature] description of gravity. Consequently, the cosmological singularity problem is treated within the context of string cosmology with non-minimal coupling of the dilaton to a barotropic gas of solitonic p-brane. The results obtained are to be interpreted on the grounds of Weyl-integrable geometry. The implications of these results for the Mach's principle are briefly discussed.