Nonsingular spherically symmetric black-hole model with holonomy corrections

We present a covariant model of spherically symmetric black hole with corrections motivated by loop quantum gravity. The effective modifications, parametrized positive constant $\lambda$, are implemented through canonical transformation and linear combination the constraints general relativity, in such way that theory remains free anomalies relativity is recovered for $\lambda=0$. In addition, corresponding metric constructed fully to ensure gauge transformations on phase space correspond coordinate changes. solution each choice provides chart line element spacetime whose geometry unambiguously determined terms parameter $\lambda$ motion $m$. For values $m$, asymptotically flat contains globally hyperbolic black-hole/white-hole region minimal spacelike hypersurface replaces Schwarzschild singularity. exterior regions isometric and, particular, allow computation ADM mass. procedure obtain global causal structure yields also its maximal analytic extension.