Quasinormal modes for dynamical black holes

Realistic black holes are usually dynamical, noticeable, or sluggish. The Vaidya metric is a significant and tractable model for simulating dynamical hole. In this study, we consider scalar perturbations in hole explore the quasinormal modes by employing matrix method. We find proper boundary conditions of from physical analysis background first time. results show that eigenfrequencies become different at apparent horizon null infinity, because interactions propagate with finite velocity nature. Any variation does not affect condition infinity originated around would immediately come down to, but slowly go to final state following mass accretion process precision method quite compelling, which reveals more details mode spacetime.