Impact of curvature divergences on physical observers in a wormhole space-time with horizons

TL;DR

This paper investigates how curvature divergences in a geodesically complete wormhole spacetime with horizons affect physical observers, finding that infinite tidal forces do not necessarily disrupt causal contact, challenging traditional views on singularities.

Contribution

It demonstrates that curvature divergences in certain wormhole spacetimes do not necessarily lead to physical observer destruction, suggesting these divergences may be less problematic than previously believed.

Findings

Observers maintain causal contact despite infinite tidal forces.

Curvature divergences do not always imply destructive effects on physical observers.

The studied spacetime is a solution of extended gravity theories coupled with electromagnetism.

Abstract

The impact of curvature divergences on physical observers in a black hole space-time which, nonetheless, is geodesically complete is investigated. This space-time is an exact solution of certain extensions of General Relativity coupled to Maxwell's electrodynamics and, roughly speaking, consists on two Reissner-Nordstr\"{o}m (or Schwarzschild or Minkowski) geometries connected by a spherical wormhole near the center. We find that, despite the existence of infinite tidal forces, causal contact is never lost among the elements making up the observer. This suggests that curvature divergences may not be as pathological as traditionally thought.