Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finsler spacetimes and gravity   We consider the geometry of spacetime based on a non-metric, Finslerian,
length measure, which, in terms of physics, represents a generalized clock. Our
defnition of Finsler spacetimes ensure a well defined notion of causality, a
precise description of observers and a geometric background for field theories.
Moreover we present our Finsler geometric extension of the Einstein equations,
which determine the geometry of Finsler spacetimes dynamically.

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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys