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arXiv · 0711.0090

On deformations of Ashtekar's constraint algebra

Kirill Krasnov
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Abstract

We show that the constraint algebra of Ashtekar's Hamiltonian formulation of general relativity can be non-trivially deformed by allowing the cosmological constant to become an arbitrary function of the (Weyl) curvature. Our result implies that there is not one but infinitely many (parameterized by an arbitrary function) four-dimensional gravity theories propagating two degrees of freedom.

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Kirill Krasnov. 2007-11-01. On deformations of Ashtekar's constraint algebra. https://doi.org/10.1103/physrevlett.100.081102

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