Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geodesics in stationary spacetimes. Application to Kerr spacetime   The Levi-Civita connection and geodesic equations for a stationary spacetime
are studied in depth. General formulae which generalize those for warped
products are obtained. These results are applicated to some regions of Kerr
spacetime previously studied by using variational methods. We show that they
are neither space-convex nor geodesically connected. Moreover, the whole
stationary part of Kerr spacetime is not geodesically connected, except when
the angular momentum is equal to zero (Schwarzschild spacetime).

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The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg