The neutrino emissivity of compact stars is investigated in this work.
We consider stars consisting of nuclear as well as quark matter for t
his purpose. Different models are used to calculate the composition of
nuclear and quark matter and the neutrino emissivity. Depending on th
e model under consideration, the neutrino emissivity of nuclear as wel
l as quark matter varies over a wide range. We find that for nuclear m
atter, the direct URCA processes are allowed for most of the relativis
tic models without and with strange baryons, whereas for the nonrelati
vistic models this shows a strong dependence on the type of nuclear in
teraction employed. When the direct URCA processes are allowed, the ne
utrino emissivity of hadronic matter is larger than that of the quark
matter by several orders of magnitude. We also find that the neutrino
emissivity departs from T-6 behavior when the temperature is larger th
an the difference in the Fermi momenta of the particles, participating
in the neutrino-producing reactions.