Wormhole geometries with conformal motions

TL;DR

This paper explores conformally symmetric wormhole solutions, linking the conformal factor to observable tangential velocities, and investigates their physical properties, including particle motion, redshift, and gravitational bremsstrahlung.

Contribution

It demonstrates that the conformal factor in such wormholes can be physically interpreted through measurable tangential velocities of particles.

Findings

Conformal factor relates to tangential velocity of particles.

Analysis of redshift in the wormhole spacetime.

Characteristics of gravitational bremsstrahlung in these geometries.

Abstract

Exact solutions of traversable wormholes were recently found under the assumption of spherical symmetry and the existence of a non-static conformal symmetry. In this paper, we verify that in the case of the conformally symmetric spacetimes with a non-static vector field generating the symmetry, the conformal factor $\psi$ can be physically interpreted in terms of a measurable quantity, namely, the tangential velocity of a massive test particle moving in a stable circular orbit in the spacetime. Physical properties of the rotational velocity of test particles and of the redshift of radiation emitted by ultra-relativistic particles rotating around these hypothetical general relativistic objects are further discussed. Finally, specific characteristics and properties of gravitational bremsstrahlung emitted by charged particles in geodesic motion in conformally symmetric wormhole geometries are also explored.