Various physical properties of cosmological models in 1 + 1 dimensions
are investigated. We demonstrate how a hot big bang and a hot big cru
nch can arise in some models. In particular, we examine why particle h
orizons do not occur in matter and radiation models. We also discuss u
nder what circumstances exponential inflation and matter/radiation dec
oupling can happen. Finally, without assuming any particular equation
of state, we show that physical singularities can occur in both untilt
ed and tilted universe models if certain assumptions are satisfied, si
milar to the (3 + 1)-dimensional cases.