The problem with the notion of Event Horizon is that it speaks ot events which will never be seen in the future. So it requires to wait eternally. So apparent Horizon is introduced. It uses trapped surfaces They are closed spacelike surfaces. when they emit light there is no diverging wave front. A theorem says that Apparent Horizons lie behind or on the Event Horizon. My question is about rhe non eternally accelerated observer. Has she an apparent horizons?