Dynamical stability of non-exotic wormhole configurations

Establish the dynamical stability of the non-exotic traversable wormhole configurations constructed in the linear $f(T,\tau)=T+\beta\tau$ gravity model, using a perturbative treatment formulated consistently within $f(T,\tau)$ gravity.

Background

The constructed wormholes allow the physical anisotropic matter to satisfy standard energy conditions on the strong-coupling branch β>8π\beta>8\pi, while the effective gravitational source retains the null-energy-condition violation required by the wormhole geometry.

The paper does not analyze perturbations or stability. It emphasizes that the non-minimal matter–torsion coupling requires a perturbative framework specific to f(T,τ)f(T,\tau) gravity, rather than a stability analysis imported directly from general relativity.

References

The dynamical stability of the non-exotic configurations is another important open question. Because the theory contains a non-minimal matter--torsion coupling, a consistent perturbative treatment should be derived within $f(T,\tau)$ gravity rather than imported directly from general relativity.

— Traversable wormholes in $f(T,τ)$ gravity: a complete classification of the non-exotic sector  (2608.24108 - Banerjee et al., 25 Aug 2026) in Section Summary and conclusions