FADDEEV GRAVITY ACTION ON THE PIECEWISE CONSTANT FUNDAMENTAL VECTOR FIELDS
In the Faddeev formulation of gravity, the metric is regarded as composite field, bilinear of d = 10 4-vector fields. We derive the minisuperspace (discrete) Faddeev action by evaluating the Faddeev action on the spacetime composed of the (flat) 4-simplices with constant 4-vector fields. This is an analog of the Regge action obtained by evaluating the Hilbert-Einstein action on the spacetime composed of the flat 4-simplices. One of the new features of this formulation is that the simplices are not required to coincide on their common faces. Also an analog of the Barbero-Immirzi parameter γ can be introduced in this formalism.
Keywords: Einstein gravity, Regge calculus, composite metric, Faddeev gravity, discrete gravity
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Issue: 12, 2014
Series of issue: Issue 12
Pages: 131 — 134
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