Riemannian light cone from vanishing birefringence in premetric vacuum electrodynamics

Details Riemannian light cone from vanishing birefringence in premetric vacuum electrodynamics Riemannian light cone from vanishing birefringence in premetric vacuum electrodynamics

2004-09-19

arxiv.org/abs/gr-qc/0409072v2

Phys.Rev. D70 (2004) 105022

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages latex

Scientific paper

10.1103/PhysRevD.70.105022

We consider premetric electrodynamics with a local and linear constitutive
law for the vacuum. Within this framework, we find quartic Fresnel wave
surfaces for the propagation of light. If we require vanishing birefringence in
vacuum, then a Riemannian light cone is implied. No proper Finslerian structure
can occur. This is generalized to dynamical equations of any order.

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