Epicyclic frequencies in static and spherically symmetric wormhole geometries

Understand

The measurement of the epicyclic frequencies is a widely used astrophysical technique to infer information on a given self-gravitating system and on the related gravity background.

• We derive their explicit expressions in static and spherically symmetric wormhole spacetimes.
• We discuss how these theoretical results can be applied to: (1) detect the presence of a wormhole, distinguishing it by a black hole; (2) reconstruct wormhole solutions through the fit of the observational data, once we have them.
• Finally, we discuss the physical implications of our proposed epicyclic method.