Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic Results for the Gravitational Radiation from a Class of Cosmic
  String Loops   Cosmic string loops are defined by a pair of periodic functions ${\bf a}$ and
${\bf b}$, which trace out unit-length closed curves in three-dimensional
space. We consider a particular class of loops, for which ${\bf a}$ lies along
a line and ${\bf b}$ lies in the plane orthogonal to that line. For this class
of cosmic string loops one may give a simple analytic expression for the power
$\gamma$ radiated in gravitational waves. We evaluate $\gamma$ exactly in
closed form for several special cases: (1) ${\bf b}$ a circle traversed $M$
times; (2) ${\bf b}$ a regular polygon with $N$ sides and interior vertex angle
$\pi-2\pi M/N$; (3) ${\bf b}$ an isosceles triangle with semi-angle $\theta$.
We prove that case (1) with $M=1$ is the absolute minimum of $\gamma$ within
our special class of loops, and identify all the stationary points of $\gamma$
in this class.

18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs