Geons as wormholes of modified gravity

Abstract

Wormholes may arise as solutions of extensions of General Relativity without violation of the energy conditions. Working in a Palatini approach we consider classical geometries supporting such wormholes. It is shown that the resulting space-times represent explicit realizations of the concept of geon introduced by Wheeler, interpreted as self-consistent bodies generated by an electromagnetic field without sources.

From the Flamm–Einstein–Rosen bridge to the modern renaissance of traversable wormholes

“…Working in a metric-affine framework, which is experimentally supported by the physics of crystalline structures with defects, 56 explicit models supporting such solutions in four and higher dimensions were found. [56][57][58][59] It is shown that they actually represent explicit realizations of the concept of the geon introduced by Wheeler, whcih were interpreted as topologically non-trivial self-consistent bodies generated by an electromagnetic field without sources. Several of their properties were discussed, and we refer the reader to Refs.…”