2018/01/17 by Sebastian Schuster, Matt Visser · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Bespoke #Black Holes and Theoretical Physics #Compatibility (geochemistry) #Construct (python library) #Coordinate system #Differential geometry #Eigenvalues and eigenvectors #Quantum Electrodynamics and Casimir Effect #gr-qc
paper · pdf · doi:10.1007/s10714-018-2376-2
published as General Relativity and Gravitation 50 (2018) 55 · 22 pages
arxiv created 2018/01/17 · openalex created_date 2018/01/26 · openalex publication_date 2018/05/05 · arxiv updated 2018/08/16 · openalex updated_date 2026/08/05
Modern meta-materials allow one to construct electromagnetic media with almost arbitrary bespoke permittivity, permeability, and magneto-electric tensors. If (and only if) the permittivity, permeability, and magneto-electric tensors satisfy certain stringent compatibility conditions, can the meta-material be fully described (at the wave optics level) in terms of an effective Lorentzian metric --- an analogue spacetime. We shall consider some of the standard black-hole spacetimes of primary interest in general relativity, in various coordinate systems, and determine the equivalent meta-material susceptibility tensors in a laboratory setting. In static black hole spacetimes (Schwarzschild and the like) certain eigenvalues of the susceptibility tensors will be seen to diverge on the horizon. In stationary black hole spacetimes (Kerr and the like) certain eigenvalues of the susceptibility tensors will be seen to diverge on the ergo-surface.