Szekeres Universes with GUP corrections

TL;DR

This paper explores how GUP-induced deformations in algebra modify the Szekeres cosmological model, leading to acceleration and altered spatial curvature, thus providing a quantum gravity perspective on cosmic acceleration.

Contribution

It introduces a deformed algebra with a minimum length into the Szekeres system, revealing new effects on inhomogeneous spacetime dynamics and cosmic acceleration.

Findings

Deformed algebra induces acceleration in inhomogeneous spacetime

Minimum length affects spatial curvature in the model

Modified Szekeres system describes accelerated expansion

Abstract

We demonstrate that introducing a deformed algebra with a minimum length modifies the field equations for an inhomogeneous spacetime, resulting in the emergence of acceleration. Specifically, we examine the analytic effects of the Generalized Uncertainty Principle on the classical field equations of the Szekeres system. Our findings show that the deformed algebra leads to a modified Szekeres system capable of describing cosmic acceleration. Moreover, the spatial curvature of the spacetime is influenced by the presence of the minimum length.