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On deformations of Ashtekar's constraint algebra

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arxiv 0711.0090 v1 pith:3SVLTOAT submitted 2007-11-01 gr-qc astro-phhep-th

Kirill Krasnov This is my paper · ORCID
classification gr-qcastro-phhep-th
keywords algebraarbitraryashtekarconstraintfunctionallowingbecomeconstant
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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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  1. Renormalization group flows in area-metric gravity

    gr-qc 2025-07 conditional novelty 7.0 of 10

    The first renormalization group analysis of area-metric gravity shows shape-mismatching masses grow toward the infrared, parity is not emergent, and the Immirzi parameter flow has fixed points at γ=0 and γ=∞.

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