On Gravitational Energy in Conformal Teleparallel Gravity

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.

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Cited by in corpus (7)

• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• Noether charge and black hole entropy in teleparallel gravity
• Nonmetricity theories and aspects of gauge symmetry
• Geometrical Trinity of Unimodular Gravity
• Conformal Teleparallel Theories and Weyl Geometry
• The meaning of torsion in teleparallel theories
• Localization of Energy-Momentum for a Black Hole Spacetime Geometry with Constant Topological Euler Density