Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperbolic motion generated by inversion   An inversion transformation applied to an inertial observer is used to
generate a nonstatic conformally flat geometry in spherical coordinates. A
static observer in the new geometry is uniformly accelerating with respect to
the inertial one and vice versa, but its acceleration $g$ undergoes the
transformation $g \rightarrow 1/b^{2}g$, where $b$ is a constant. A nongeodesic
congruence of a static observer has a scalar expansion which grows linearly
with time but the acceleration is proportional to $r$, as for the classical
rotation.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat