Description
In the first part of my talk, I focus on the primordial black hole formation from collapsing closed domain walls. To follow the dynamical process of the black hole formation, I employed numerical simulations with fully general relativistic framework (numerical relativity). I present the results of our simulations, showing that the initial closed domain wall shell collapses into a black hole, even in the case with non-spherical initial conditions. In the second part, I focus on the stochastic gravitational waves induced by initial scalar perturbations. The simulation based on the numerical relativity can follow the gravitational wave emission in fully nonlinear regime. In this talk, I present our tentative results of the simulation for the scalar-induced gravitational waves in matter dominated universe.