Dielectric Analog Space-Times

Details Dielectric Analog Space-Times Dielectric Analog Space-Times

2010-10-08

arxiv.org/abs/1010.1587v2

Phys.Rev.D82:124021,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 1 figure. This version: Typos corrected, 1 reference added, updated citation information, minor correction to Equati

Scientific paper

10.1103/PhysRevD.82.124021

We generalize the notion of a dielectric analog Schwarzschild black hole model to analog models of arbitrary space-times; in particular, the approach is not restricted to static space-times. This is done by establishing a correspondence between electrodynamics on a curved, vacuum manifold, with electrodynamics in a general linear dielectric residing in Minkowski space-time. The mapping is not unique, allowing for some freedom in the specification of equivalent materials, which could be useful for exploiting recent developments in the production of metamaterials. Some examples are considered, with special attention paid to the dielectric analog of the exterior Kerr geometry, which is found to be reproducible with regular, linear, dielectrics.

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