Limiting curvature as solution generator for nonsingular black holes and wormholes

The singularity of classical black hole spacetimes is notorious, leading to the breakdown of physical theory at infinite curvatures. Regular solutions, which are nonsingular, are therefore of interest both theoretically and observationally, since they make predictions at r=0. The limiting curvature hypothesis proposes that measures of curvature, such as the Ricci and Kretschmann scalars, must be bounded by a maximum and finite value to prevent the formation of the singularity. In two-dimensional dilation gravity, the limiting curvature principle can be used to construct nonsingular solutions which are well-behaved at r=0. Here we review the use the limiting curvature principle in the construction of nonsingular spacetimes, as well as propose how the combination of the limiting curvature principle and asymptotic constraints can be used to construct potentials that generate nonsingular spacetime solutions. We present several novel two-dimensional nonsingular black hole and wormhole solutions, as well as explore the curvature behavior of such solutions when lifted to higher dimensions.