The canonical energy-momentum currents in cosmology

Abstract

The parallel theory of relativity predicts conserved energy-momentum currents for an arbitrary metric, without invoking Killing symmetries. By treating the reference frame as an independent variational field and requiring it to carry no energy, the theory naturally unifies Einstein's two formulations of gravity and yields uniquely defined covariant charges. In isotropic and homogeneous cosmology, the canonical time direction selected by the reference frame coincides with the Kodama vector, and the associated Noether energy reproduces the Misner-Sharp mass.

7 pages

References in corpus (5)

• Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
• Homogeneous and isotropic cosmology in general teleparallel gravity
• On the `simple' form of the gravitational action and the self-interacting graviton
• Dynamics of inflation with mutually orthogonal vector fields in a closed universe
• Energy in the Relativistic Theory of Gravity