Reconstructing wormhole solutions in curvature based Extended Theories of Gravity

TL;DR

This paper demonstrates how static, spherically symmetric wormhole solutions can be reconstructed within curvature-based Extended Theories of Gravity, linking theoretical models with observational constraints through modified gravitational potentials.

Contribution

It introduces a method to reconstruct wormhole solutions using modified gravitational potentials in curvature-based theories, enabling observational constraints and stability analysis.

Findings

Wormhole solutions can be characterized by Yukawa-like corrections to Newtonian potential.

Parameters of the potentials can be gauged by observations.

Stable, traversable wormholes could serve as probes for Extended Theories of Gravity.

Abstract

Static and spherically symmetric wormhole solutions can be reconstructed in the framework of curvature based Extended Theories of Gravity. In particular, extensions of the General Relativity, in metric and curvature formalism give rise to modified gravitational potentials, constituted by the classical Newtonian potential and Yukawa-like corrections, whose parameters can be, in turn, gauged by the observations. Such an approach allows to reconstruct the spacetime out of the wormhole throat considering the asymptotic flatness as a physical property for the related gravitational field. Such an argument can be applied for a large class of curvature theories characterising the wormholes through the parameters of the potentials. According to this procedure, possible wormhole solutions could be observationally constrained. On the other hand, stable and traversable wormholes could be a direct probe for this class of Extended Theories of Gravity.