Energy-Momentum of the Gravitational Field in the Teleparallel Geometry

Physics

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Scientific paper

The dynamics of the gravitational field can be described in the context of the teleparallel geometry, where the basic geometrical entity is the tetrad field ea μ, (a and μ are SO(3,1) and space-time indices, respectively). Teleparallel theories of gravity are defined on the Weitzenböck space-time1 endowed with the affine connection Γ {μ ν }λ = e{aλ } ∂ μ e{aν }. The curvature tensor constructed out of this connection vanishes identically, and therefore it defines a space with teleparallelism, or absolute parallelism2...

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