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arXiv · 1403.7060

Light cones in Finsler spacetime

E. Minguzzi
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Abstract

Some foundational results on the geometry of Lorentz-Minkowski spaces and Finsler spacetimes are obtained. We prove that the local light cone structure of a reversible Finsler spacetime with more than two dimensions is topologically the same as that of Lorentzian spacetimes: at each point we have just two strictly convex causal cones which intersect only at the origin. Moreover, we prove a reverse Cauchy-Schwarz inequality for these spaces and a corresponding reverse triangle inequality. The Legendre map is proved to be a diffeomorphism in the general pseudo-Finsler case provided the dimension is larger than two.

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E. Minguzzi. 2014-11-28. Light cones in Finsler spacetime. https://doi.org/10.1007/s00220-014-2215-6

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