Gravitational collapse of dark matter interacting with dark energy: Black hole formation

In this work, we study the gravitational collapsing process of a spherically symmetric star constitute of Dark Matter (DM),rho M, and Dark Energy (DE) rho. In this model, we use anisotropic pressure with Equation of State (EoS) pt = lambda rho and pr = l rho, (l + 2 lambda < -1). It reveals that gravitational collapse of DM and DE with interaction leads to the formation of the black hole. When l + 2 lambda < -3 (phantoms), dust and phantoms could be ejected from the death of white hole. This emitted matter again undergoes to collapsing process and becomes the black hole. This study gives the generalization for isotropy of pressure in the fluid to anisotropy when there will be interaction between DM and DE.