Hawking's area theorem with a weaker energy condition

TL;DR

This paper explores a strengthened version of Hawking's area theorem that relies on a weaker energy condition, potentially applicable in semi-classical contexts where null energy condition violations occur.

Contribution

It introduces a new formulation of the area theorem based on a less restrictive energy condition, expanding its applicability beyond classical null energy assumptions.

Findings

Theorem holds under weakened energy conditions.

Potential relevance to semi-classical quantum effects.

Discussion on the validity of energy conditions in quantum regimes.

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. With the semi-classical context in mind, some brief remarks pertaining to the suitability of the area theorem and its energy condition are made.