Gravitational Energy and Black Hole Formation -- Mu-Tao Wang
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Does energy concentration lead to black hole formation in general
relativity and what does it mean? I shall discuss two types of such vaguely defined conjectures. One is
spatial: if ``enough energy" is measured at a spatial boundary, should a black
hole form in the interior? The other is time evolutionary: if
``enough energy" is measured at an initial time, should a black hole
form at a later time? Both conjectures are closely related to singularities of
partial differential equations, albeit of different types.