Nonsingular black holes in Palatini extensions of General Relativity

Understand

An introduction to extended theories of gravity formulated in metric-affine (or Palatini) spaces is presented.

• Focusing on spherically symmetric configurations with electric fields, we will see that in these theories the central singularity present in General Relativity is generically replaced by a wormhole structure.
• The resulting space-time becomes geodesically complete and, therefore, can be regarded as non-singular.
• We illustrate these properties considering two different models, namely, a quadratic $f(R)$ theory and a Born-Infeld like gravity theory.