De Sitter spacetime with torsion as physical spacetime in the vacuum

TL;DR

This paper demonstrates that in Poincaré gauge theory of gravity, vacuum solutions can naturally exhibit a flat de Sitter spacetime with torsion, offering insights into the geometric structure of the universe without a cosmological constant.

Contribution

It shows that vacuum solutions in PGTG can be characterized by a flat de Sitter spacetime with torsion, expanding understanding of gravitational vacuum structures.

Findings

Vacuum spacetime in PGTG can be de Sitter with torsion.

Homogeneous isotropic models support this de Sitter vacuum structure.

Physical implications of torsion in vacuum are discussed.

Abstract

Homogeneous isotropic models built in the framework of the Poincar\'e gauge theory of gravity (PGTG) based on general expression of gravitational Lagrangian without cosmological constant are analyzed. It is shown that the physical spacetime in the vacuum in the frame of PGTG can have the structure of flat de Sitter spacetime with torsion. Some physical consequences of obtained conclusion are discussed.