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Proof of the averaged null energy condition in a classical curved spacetime using a null-projected quantum inequality

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Publication details

JournalPhysical Review D
DatePublished - 1 Jul 2015
Original languageUndefined/Unknown


Quantum inequalities are constraints on how negative the weighted average of the renormalized stress-energy tensor of a quantum field can be. A null-projected quantum inequality can be used to prove the averaged null energy condition (ANEC), which would then rule out exotic phenomena such as wormholes and time machines. In this work we derive such an inequality for a massless minimally coupled scalar field, working to first order of the Riemann tensor and its derivatives. We then use this inequality to prove ANEC on achronal geodesics in a curved background that obeys the null convergence condition.

Bibliographical note

29 pages, 1 figure, references added

    Research areas

  • gr-qc, math-ph, math.MP

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