A model of regular black hole satisfying the Weak Energy Condition

Abstract

In this article we discuss a star generated by some matter fluid, whose stress-energy tensor is known. We investigate both the maximally symmetric framework, where all the pressures are equal, and the dark energy framework, with $P = -\rho$. We show that the first one is not able to produce a black hole, while second one actually is. Finally, within this second framework, we present an example of regular black hole, showing it satisfies the NEC and the WEC.