Testing wormhole solutions in extended gravity through the Poynting-Robertson effect

TL;DR

This paper introduces a model-independent method using the Poynting-Robertson effect and ray-tracing to identify and analyze static, spherically symmetric wormhole solutions in extended gravity theories based on astrophysical observations.

Contribution

It develops a novel, local reconstruction technique for wormhole solutions from high-energy astrophysical data, applicable in generic static, spherically symmetric geometries.

Findings

Successfully applied to various wormhole models in extended gravity theories.

Produced lightcurves, spectra, and images consistent with observational data.

Proposed a new way to test gravity theories using astrophysical signatures.

Abstract

We develop a model-independent procedure to single out static and spherically symmetric wormhole solutions based on the general relativistic Poynting-Robertson effect and the extension of the ray-tracing formalism in generic static and spherically symmetric wormhole metrics. Simulating the flux emitted by the Poynting-Robertson critical hypersurface (i.e., a stable structure where gravitational and radiation forces attain equilibrium) or also from another X-ray source in these general geometrical environments toward a distant observer, we are able to reconstruct, only locally to the emission region, the wormhole solutions which are in agreement with the high-energy astrophysical observational data. This machinery works only if wormhole evidences have been detected. Indeed, in our previous paper we showed how the Poynting-Robertson critical hypersurfaces can be located in regions of strong gravitational field and become valuable astrophysical probe to observationally search for wormholes' existence. As examples, we apply our method to selected wormhole solutions in different extended theories of gravity by producing lightcurves, spectra, and images of an accretion disk. In addition, the present approach may constitute a procedure to also test the theories of gravity. Finally, we discuss the obtained results and draw the conclusions.