Does a primary hair have an impact on the naked singularity formation in hairy Vaidya spacetime?

Abstract

We consider the gravitational collapse of Vaidya spacetime, which has been obtained using the gravitational decoupling method. In this paper, we are interested in whether a primary hair has any impact on the endstate of the gravitational collapse. We also prove that the coupling constant has an influence on the naked singularity formation. The strength of the central singularity has also been investigated, and we show that the naked singularity is gravitationally strong. However, this model does not violate the cosmic censorship conjecture because in the case of the naked singularity formation the weak energy condition is violated.

Keywords

• black hole
• naked singularity
• gravitational collapse
• gravitational decoupling
• strength of singularity