Gowdy $T^3$ Cosmological Models in N=1 Supergravity

TL;DR

This paper explores the quantization of N=1 supergravity in Gowdy T^3 cosmological models, revealing that quantum effects can eliminate classical singularities through the Rarita-Schwinger field.

Contribution

It provides the first explicit derivation of the wave function of the universe in Gowdy T^3 models within supergravity, demonstrating the existence of physical states in midisuperspace.

Findings

Quantum states exist in midisuperspace models.

Quantum effects remove classical curvature singularities.

Wave function of the universe is explicitly derived.

Abstract

We investigate the canonical quantization of supergravity N=1 in the case of a midisuperspace described by Gowdy $T^3$ cosmological models. The quantum constraints are analyzed and the wave function of the universe is derived explicitly. Unlike the minisuperspace case, we show the existence of physical states in midisuperspace models. The analysis of the wave function of the universe leads to the conclusion that the classical curvature singularity present in the evolution of Gowdy models is removed at the quantum level due to the presence of the Rarita-Schwinger field.