Spherical symmetry and nonmagnetic dielectrics in analogue models of gravity

TL;DR

This paper explores how nonmagnetic, spherically symmetric dielectric media can serve as analogue models for various static, spherically symmetric gravitational solutions, highlighting their potential and limitations.

Contribution

It systematically links gravitational features to dielectric properties and analyzes the limitations of using such media as gravity analogues.

Findings

Dielectric permittivity relates to gravitational features.

Analog models can simulate black holes and wormholes.

Limitations include geometric and causal constraints.

Abstract

Nonmagnetic and spherically symmetric dielectric material media are investigated in their generality as analogue models, in the domains of geometrical optics, for a few relevant static and spherically symmetric solutions of gravitation, including black holes and wormholes. Typic and desirable gravitational features are systematically linked to the nonlinear properties of the phenomenological dielectric permittivity of the medium. From this, the limitations of such analogies are explored in terms of their corresponding geometric flexibility, dielectric configurations and causal structure.