Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solutions to the Lorentz force equation with fixed charge-to-mass ratio
  in globally hyperbolic spacetimes   We extend the classical Avez-Seifert theorem to trajectories of charged test
particles with fixed charge-to-mass ratio. In particular, given two events
x_{0} and x_{1}, with x_{1} in the chronological future of x_{0}, we find an
interval I=]-R,R[ such that for any q/m in I there is a timelike connecting
solution of the Lorentz force equation. Moreover, under the assumption that
there is no null geodesic connecting x_0 and x_1, we prove that to any value of
|q/m| there correspond at least two connecting timelike solutions which
coincide only if they are geodesics.

32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math