Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Directional naked singularity in general relativity   We consider a static, axially symmetric, and asymptotically flat exact
solution of the Einstein vacuum equations, known as the gamma metric. This is
characterized by two constant parameters $m$ and $\gamma$. We find that the
total energy associated with this metric is $m \gamma$. Considering the total
energy to be positive, we investigate the nature of a curvature singularity
$r=2m$ ($r$ is the radial coordinate) in this metric. For $\gamma < 1$, this
singularity is globally visible along $\theta = 0$ as well as $\theta = \pi
/2$. However, for $\gamma > 1$, this singularity is though globally naked along
$\theta =\pi/2$, it is not visible (even locally) along $\theta = 0$. Thus,
this exhibits ``directional nakedness'' for $\gamma > 1$. This could have
implications for astrophysics.

21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph