Casimir force induced by electromagnetic wave polarization in Kerr, G\"odel and Bianchi--I spacetimes

TL;DR

This paper investigates how electromagnetic wave polarization in curved spacetimes like Kerr, G"odel, and Bianchi-I affects the Casimir force, revealing that spacetime-induced birefringence reduces the force.

Contribution

It provides explicit calculations showing how spacetime curvature and polarization interactions diminish Casimir forces in specific rotating and anisotropic backgrounds.

Findings

Electromagnetic wave polarization influences Casimir force magnitude.

Curved spacetimes act as birefringent media affecting wave propagation.

Casimir force reduction depends on polarization and spacetime properties.

Abstract

Electromagnetic waves propagation on either rotating or anisotropic spacetime backgrounds (such as Kerr and G\"odel metrics, or Bianchi-I metric) produce a reduction of the magnitude of Casimir forces between plates. These curved spacetimes behave as chiral or birefringent materials producing dispersion of electromagnetic waves, in such a way that right- and left-circularly polarized light waves propagate with different phase velocities. Results are explicitly calculated for discussed cases. The difference on the wavevectors of the two polarized electromagnetic waves produces an abatement of a Casimir force which depends on the interaction between the polarization of electromagnetic waves and the properties of the spacetime.