Figure 6: Illustration of the exact lens
map in spherically symmetric static spacetimes. The picture
shows a spatial plane. The observation event
(dot) is at ,
static light sources are distributed at . is the
colatitude coordinate on the observer’s sky. It takes values
between 0 and . is the angle swept out by the
ray with initial direction on its way from to . It
takes values between 0 and . In general, neither existence nor uniqueness
of is guaranteed for given . A similar picture is
in [271].
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