  We consider the statistical mechanics of a general relativistic
one-dimensional self-gravitating system. The system consists of $N$-particles
coupled to lineal gravity and can be considered as a model of $N$
relativistically interacting sheets of uniform mass. The partition function and
one-particle distitrubion functions are computed to leading order in $1/c$
where $c$ is the speed of light; as $c\to\infty$ results for the
non-relativistic one-dimensional self-gravitating system are recovered. We find
that relativistic effects generally cause both position and momentum
distribution functions to become more sharply peaked, and that the temperature
of a relativistic gas is smaller than its non-relativistic counterpart at the
same fixed energy. We consider the large-N limit of our results and compare
this to the non-relativistic case.
