The general gravitational Lagrangian with deformed covariance

Abstract

We derive the gravitational Lagrangian to all orders of curvature when the canonical constraint algebra is deformed by a phase space function as predicted by some studies into loop quantum cosmology. The deformation function seems to be required to satisfy a non-linear equation usually found in fluid mechanics, and can form discontinuities quite generally.

15 pages, 2 figures. arXiv admin note: text overlap with arXiv:1812.07530