Figure 4: Penrose diagrams of
Schwarzschild-Vaidya metrics for which the mass function
vanishes for [137]. The
space-time metric is flat in the past of (i.e., in the shaded
region). In the left panel, as
tends to infinity, vanishes and tends to a constant
value . The space-like
dynamical horizon , the
null event horizon , and
the time-like surface (represented by the dashed line) all meet
tangentially at . In
the right panel, for we have . Space-time in the future of is isometric with a portion of
the Schwarzschild space-time. The
dynamical horizon and
the event horizon meet
tangentially at . In both figures, the event
horizon originates in the shaded flat region, while the
dynamical horizon exists only in the
curved region.
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