  A general relativistic solution, composed of a Zel'dovich-Letelier interior
made of radial strings matched through a spherical thin shell at radius $r_0$
to an exterior Schwarzschild solution with mass $m$, is presented. It is the
Zel'dovich-Letelier-Schwarzschild star. When the radius $r_0$ of the star is
shrunk to its gravitational radius $2m$, the solutions have interesting
properties. There are solutions with $m=0$ and $r_0=0$ that obey
$\frac{2m}{r_0}=1$. The solutions have a horizon, but are not black holes, they
are quasiblack holes, though atypical. The proper mass $m_p$ of the interior is
nonzero and made of one string. Hence, a Minkowski exterior space hides an
interior with matter in a pit. These are the pit solutions and show a maximal
mass defect. There are two classes of pit solutions, one a finite string and
the other a semi-infinite one. These pits are really string pits, that can be
seen as Wheeler bags of gold, albeit squashed bags. There is another class,
which is a compact stringy star at the $\frac{2m}{r_0}=1$ limit with $m$
nonzero. It is a typical quasiblack hole and it has maximal mass defect.
Generically pit solutions with $\frac{2m}{r_0}=1$ and $m=0$ can exist with
maximal mass defects. The Zel'dovich-Letelier-Schwarzschild star at the
$r_0=2m$ limit is an instance of it. These three classes of static solutions
yield the same spectrum of solutions that appear in critical gravitational
collapse, there are solutions that yield naked null singularities, which here
are the two string pit classes, there are solutions that yield black holes,
which here are represented by the compact stringy stars at the quasiblack hole
limit, and the solutions that disperse away in critical collapse here are the
static Zel'dovich-Letelier-Schwarzschild stars. Thermodynamics of the string
pit and stringy star quasiblack hole solutions is provided, and other
connections are mentioned.
