Generalized Unruh temperature for dynamical thin-shell wormholes

Abstract

We unify two independent notions of effective temperature in dynamical thin-shell wormholes: the local acceleration temperature of the throat and the Hawking-like particle-creation temperature governed by the peeling of null rays. The effective acceleration scale, obtained by averaging over both sides of the junction, defines the thermodynamic shell temperature, while peeling functions for each asymptotic universe yield an effective particle-creation temperature. For asymptotically exponential null-ray maps, we derive the generalized Unruh identity that equates these two temperatures. Applied to Schwarzschild-Schwarzschild wormholes, the formalism yields explicit analytical expressions for the Hawking-like spectra, renormalized quantum fluxes, and quasi-horizon limits in both symmetric and asymmetric configurations. The divergence of the shell temperature near the quasi-horizon is shown to mirror the divergence of the local Tolman temperature, both originating from the infinite gravitational blueshift at a horizon. These results provide a unified interpretation of acceleration, particle creation, and temperature in horizonless dynamical spacetimes, extending the conceptual link between the Hawking and Unruh effects beyond stationary black holes.