Work

Canonical analysis of unimodular Plebański gravity

Year: 2025

Type: article

Abstract: We present the canonical analysis of different versions of unimodular gravity defined in the Plebański formalism, based on a (generally complex) S O ( 3 ) spin connection and set of (self-dual) two-forms. As in the metric formulation of unimodular gravity, one can study either a theory with fixed volume form or work in a parametrized formalism in which the cosmological constant becomes a dynamical field, constrained to be constant by the field equations. In the first case, the Hamiltonian density contains a part which is not constrained to vanish, but rather constrained to be constant, again as in the metric formulation. We also discuss reality conditions and challenges in extracting Lorentzian solutions.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.111.044047

Authors: Steffen Gielen, Elliot Nash

Institution: University of Sheffield

Language: English

Topic: Cosmology and Gravitation Theories

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: Royal Society

Award: G345816964