Bespoke analogue space-times: meta-material mimics
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-ma...
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| Veröffentlicht in: | General relativity and gravitation 2018-06, Vol.50 (6), p.1-21, Article 55 |
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| creator | Schuster, Sebastian Visser, Matt |
| description | 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. |
| doi_str_mv | 10.1007/s10714-018-2376-2 |
| format | Article |
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| subjects | Astronomy Astrophysics and Cosmology Classical and Quantum Gravitation Differential Geometry Eigenvalues Gravity Mathematical analysis Mathematical and Computational Physics Metamaterials Optics Permeability Permittivity Physics Physics and Astronomy Quantum Physics Relativity Relativity Theory Research Article Spacetime Tensors Theoretical |
| title | Bespoke analogue space-times: meta-material mimics |
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