Strange matter and its stability in presence of magnetic field

We study the effect of a magnetic field on the interacting quark matter and apply to strange star. We considere the low temperature approximation to strange matter. We find that the interacting strange quark matter is more stable compare to free quark gas in presence of strong external magnetic field with zero and finite temperature. We then calculate strange star structure parameters such as mass and radius and find that the strange star is more compact for interacting quark matter than free quark matter in presence of strong magnetic field.