LAUSR

In this paper, we present a new kind of stellar model using the Nariai IV metric. This model can be used to study the strange/quark stars (which is our current interest, although it can also be applicable to neutron stars). We present a mass-radius region where all regularity conditions, energy conditions, the TOV equation, and stability conditions are satisfied. According to our model, strange stars with masses up to 1.9165 M ⊙ ( = 2.81  km ) $1.9165M_{\odot }(=2.81 \text{ km})$ are stable. A strange star with a mass greater than 1.9165 M ⊙ $1.9165M_{\odot }$ violates the stability conditions. This model can be very useful to predict the radius of strange stars with a mass greater than 1 M ⊙ $1 M_{\odot }$ .