We discuss the relativistic nuclear equation of state (EOS) using a relativ
istic transport model in heavy-ion collisions. From the baryon flow for Au
+ Au systems at SIS to AGS energies and above we find that the strength of
the vector potential has to be reduced moderately at high density or at hig
h relative momenta to describe the flow data at (1-10)A GeV. We use the sam
e dynamical model to calculate the nuclear EOS and then employ this to calc
ulate the gross structure of a neutron star considering the core to be comp
osed of neutrons with an admixture of protons, electrons, muons, sigmas, an
d lambdas at zero temperature. We then discuss these gross properties of ne
utron stars such as maximum mass and radius in contrast to the observationa
l values.