Abstract
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 \(1.9165M_{\odot }(=2.81 \text{ km})\) are stable. A strange star with a mass greater than \(1.9165M_{\odot }\) violates the stability conditions. This model can be very useful to predict the radius of strange stars with a mass greater than \(1 M_{\odot }\).
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