On Gravitational Energy in Conformal Teleparallel Gravity

TL;DR

This paper explores how gravitational energy can be defined within conformal teleparallel gravity, analyzing its implications for the energy content of the universe, especially in cosmological models like FRW.

Contribution

It introduces a new expression for gravitational energy in conformal teleparallel gravity and applies it to cosmological models, linking it to dark energy and matter fields.

Findings

Total energy can be defined via field equations with a local conservation law.

In the absence of matter, the universe's energy corresponds to dark energy.

The energy difference in curved models relates to matter and dark energy.

Abstract

The paper deals with the definition of gravitational energy in conformal teleparallel gravity. The total energy is defined by means of the field equations which allow a local conservation law. Then such an expression is analyzed for a homogeneous and isotropic Universe. This model is implemented by the Friedmann-Robertson-Walker (FRW) line element. The energy of the universe in the absence of matter is identified with the dark energy, however it can be expanded for curved models defining such an energy as the difference between the total energy and the energy of the perfect fluid which is the matter field in the FRW model.