Casimir Effect in a Schwarzschild-Like Wormhole Spacetime

TL;DR

This study examines how gravito-inertial effects influence the Casimir energy of a scalar field in a Schwarzschild-like wormhole spacetime, revealing insights into the spacetime's geometry and topology through quantum vacuum fluctuations.

Contribution

It provides a detailed analysis of the Casimir effect in a Schwarzschild-like wormhole, including the impact of gravity and rotation on quantum vacuum energy, which is a novel exploration in this context.

Findings

Gravitational and rotational effects alter the Casimir energy in the wormhole spacetime.

Comparison of Casimir energies distinguishes between different spacetime geometries.

Results suggest quantum vacuum fluctuations can identify spacetime topology.

Abstract

In this paper, we investigate the role of gravito-inertial effects on the Casimir energy of a massless scalar field confined between two parallel plates orbiting a static and zero tidal Schwarzschild-like wormhole, at zero temperature. Firstly, we obtain the metric in isotropic coordinates, finding the allowed angular velocities and the circular orbit radii for a material particle as well as for the photon. Following, we compute the changes induced by both gravity and rotation of the plates in the energy density of the quantum vacuum fluctuations associated to the scalar field, in the zero tidal approximation inside the cavity. Finally, the Casimir energy obtained for some these wormholes are graphically compared between themselves and also with those ones related to an Ellis wormhole as well as to a Schwarzschild black hole. With this, the gravito-inertial effects on the quantum vacuum fluctuations analyzed in this work allow to recognize and identify both the geometry and topology of the spacetime associated to each one of these objects.