$\theta$-Term and Cosmological Constant from CJD Action

TL;DR

This paper explores how a topological theta-term in a gravity formalism leads to the simultaneous emergence of a cosmological constant, revealing a deep connection between topological terms and cosmological parameters.

Contribution

It demonstrates that in a gravity formalism without a metric, the appearance of a theta-term via a canonical transformation inherently introduces a cosmological constant.

Findings

Theta-term arises through a canonical transformation in a metricless gravity formalism.

The emergence of the theta-term is intrinsically linked to the appearance of a cosmological constant.

The study provides insight into the topological origins of cosmological parameters.

Abstract

In the gravity without metric formalism of Capovilla, Jacobson and Dell, the topological $\theta$-term appears through a canonical transformation.The origin of this canonical transformation is probed here. It is shown here that when $\theta$-term appears cosmological $\lambda$-term also appears simultaneously.