  Deformed dispersion relations are considered in the study of equations of
state of Fermi gas with applications to compact objects. Different choices of
deformed energy relations are used in the formulation of our model. As a first
test, we consider a relativistic star with a simple internal structure. The
mass-radius diagrams obtained suggest a positive influence of deformed Fermi
gas, depending of the functions employed. In addition, we comment on how
realistic equations of state, in which interactions between nucleons are taken
into account, can be addressed.
