The Cosmological Constant Emerging From Local Poincare Invariance

TL;DR

This paper explores how a Poincare Gauge Theory of gravity predicts a cosmological constant as a non-Riemannian curvature scalar, leading to potential deviations from Einstein's theory in cosmological and vacuum solutions.

Contribution

It introduces a quadratic Lagrangian in Poincare Gauge Theory predicting a variable cosmological constant from local invariance principles.

Findings

Predicts a constant non-Riemannian curvature scalar acting as a cosmological constant

Shows deviations from General Relativity in vacuum solutions

Provides exact solutions for the gravitational field of a mass point

Abstract

The Poincare Gauge Theory of gravitation with a Lagrangian quadratic in the field strengths is applied to a classical cosmological model. It predicts a constant value of the non-riemannian curvature scalar, which acts as a cosmological constant. As the value of the scalar depends on the context, vacuum solutions may differ from the predictions based on Einstein's constant. The corresponding deviations from General Relativity are discussed on the basis of exact solutions for the field of a mass point.