Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-dissipative electromagnetic medium with a double light cone   We study Maxwell's equations on a 4-manifold where the electromagnetic medium
is modelled by an antisymmetric (2, 2)-tensor kappa with real coefficients. In
this setting the Fresnel surface is a fourth order polynomial surface in each
cotangent space that acts as a generalisation of the light cone determined by a
Lorentz metric; the Fresnel surface parameterises electromagnetic wave-speeds
as a function of direction. The contribution of this paper is the complete
pointwise description of all electromagnetic medium tensors that satisfy the
following conditions:
  (i) kappa is invertible,
  (ii) kappa is skewon-free,
  (iii) kappa is birefringent, that is, the Fresnel surface of kappa is the
union of two distinct light cones.
  We show that there are only three classes of mediums with these properties.
Moreover, we give explicit expressions in local coordinates for each class.

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The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
3
The categories of this paper are: physics
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The categories of this paper are: supr-con