Bremstrahlung in wormhole spacetime with infinitely short throat

TL;DR

This paper analyzes the energy loss and spectral density of charged particles moving through a wormhole with an infinitely short throat, revealing how these quantities depend on wormhole parameters and particle motion.

Contribution

It introduces a model for energy loss and spectral density of particles in wormhole spacetime with an infinitely short throat, providing explicit formulas and spectral characteristics.

Findings

Total energy loss scales as e^2 v γ a^2 / b^3.

Spectral density peaks at frequencies proportional to v γ / b and v γ / a.

Energy spectrum for radial motion scales as e^2 v γ / a.

Abstract

We consider the total energy loss and spectral density of uniformly moving electrically charged particles in the spacetime of a wormhole with an infinitely short throat. We show that the total energy loss $\mathcal{E} \sim e^2v\gamma a^2/b^3$, where $\gamma$ is relativistic factor, $a$ is the radius of the wormhole's throat and $b$ is the impact factor. The spectrum of the energy for particles radially moving through the wormhole's throat $\mathcal{E} \sim e^2v\gamma/a$. The spectral density of the total energy has a maximum at frequency $\omega_m \sim v\gamma/b$ and at $\omega_m \sim v\gamma /a$ for radial motion.