Warm inflation in Weyl geometric gravity

TL;DR

This paper explores warm inflation within Weyl geometric gravity, analyzing how the Weyl vector influences early universe dynamics and matching cosmological observations.

Contribution

It introduces a novel warm inflation model in Weyl geometry, incorporating the Weyl vector and higher-order curvature effects, with numerical validation against observational data.

Findings

Successful transition from inflation to radiation era

Cosmological observables align with ACT data

Weyl vector impacts inflation dynamics

Abstract

We investigate the warm inflationary scenario in the Weyl geometric gravity theory, in which the action is constructed by adding matter to the simplest conformally invariant gravitational action in Weyl geometry. The $\tilde{R}^2$ theory can be formulated equivalently as a linear theory supplemented by an additional scalar degree of freedom originating from higher-order curvature terms, with the equations of motion obtained via variational methods. We investigate the cosmological implications of the theory by considering the warm inflationary scenario of the early evolution of the Universe, in which radiation, the inflaton field, and the Weyl vector coexist. We consider the widely studied linear dissipation coefficient model along with a quartic potential, and investigate the influence of the Weyl vector term on the dynamics. We have performed numerical computations for different coupling models, and we have successfully developed a warm inflationary model in which the Universe transitions naturally from an inflationary epoch to a radiation-dominated era. The relevant cosmological observables have been calculated and compared with the latest observational constraints from the ACT data.