lesourd, martin
(2017)
Hawking's area theorem with a weaker energy condition.
[Preprint]
Abstract
Hawking's area theorem is a fundamental result in black hole theory that is universally associated
with the null energy condition. That this condition can be weakened is illustrated by the formulation of
a strengthened version of the theorem based on an energy condition that allows for violations of the null
energy condition. This result tightens the conventional wisdom that quantum field theoretic violations
of the null energy condition account for why the conclusion of the area theorem can be bypassed in the
semi-classical context. Shown here is that violations of the null energy condition, though necessary, are
not sufficient to violate the conclusion of the area theorem. As an added benefit, the specific form of the
energy condition used here suggests that the area non-decrease behavior described by the area theorem
is a quasi-local effect that depends, in large measure, on the energetic character of the relevant fields in
the vicinity of the event horizon.
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